The '^' sign should be read as "Raised to the Power of".
Also x ^ (1/y) is the yth root of x.
Geometric mean = (Product of elements) ^ (number of elements) = (1 x 11) ^ (1/2) = 11 ^ 0.5 = 3.317 Example 2: Compute the Geometric mean (GM) of 3 given numbers: 23, 17, 25 Geometric mean = (Product of elements) ^ (number of elements) = (23 x 17 x 25) ^ (1/3) = 9775 ^ 0.3333333333333333 = 21.382 Example 3: Compute the Geometric mean (GM) of 4 given numbers: 23, 25, 17, 4 Geometric mean = (Product of elements) ^ (number of elements) = (23 x 25 x 17 x 4) ^ (1/4) = 39100 ^ 0.25 = 14.062 Example 4: Compute the Geometric mean (GM) of 5 given numbers: 14, 14, 14, 29, 22 Geometric mean = (Product of elements) ^ (number of elements) = (14 x 14 x 14 x 29 x 22) ^ (1/5) = 1750672 ^ 0.2 = 17.727 Example 5: Compute the Geometric mean (GM) of 6 given numbers: 15, 6, 3, 9, 21, 16 Geometric mean = (Product of elements) ^ (number of elements) = (15 x 6 x 3 x 9 x 21 x 16) ^ (1/6) = 816480 ^ 0.16666666666666666 = 9.668 Example 6: Compute the Geometric mean (GM) of 7 given numbers: 4, 16, 15, 14, 27, 6, 4 Geometric mean = (Product of elements) ^ (number of elements) = (4 x 16 x 15 x 14 x 27 x 6 x 4) ^ (1/7) = 8709120 ^ 0.14285714285714285 = 9.804 Example 7: Compute the Geometric mean (GM) of 8 given numbers: 8, 1, 18, 26, 26, 25, 29, 5 Geometric mean = (Product of elements) ^ (number of elements) = (8 x 1 x 18 x 26 x 26 x 25 x 29 x 5) ^ (1/8) = 352872000 ^ 0.125 = 11.707 Example 8: Compute the Geometric mean (GM) of 9 given numbers: 8, 28, 9, 29, 8, 1, 19, 15, 28 Geometric mean = (Product of elements) ^ (number of elements) = (8 x 28 x 9 x 29 x 8 x 1 x 19 x 15 x 28) ^ (1/9) = 3732341760 ^ 0.1111111111111111 = 11.576 Example 9: Compute the Geometric mean (GM) of 10 given numbers: 16, 27, 18, 1, 27, 0, 9, 12, 20, 29 Geometric mean = (Product of elements) ^ (number of elements) = (16 x 27 x 18 x 1 x 27 x 0 x 9 x 12 x 20 x 29) ^ (1/10) = 0 ^ 0.1 = 0.0 Example 10: Compute the Geometric mean (GM) of 11 given numbers: 4, 2, 0, 28, 1, 14, 11, 14, 10, 0, 5 Geometric mean = (Product of elements) ^ (number of elements) = (4 x 2 x 0 x 28 x 1 x 14 x 11 x 14 x 10 x 0 x 5) ^ (1/11) = 0 ^ 0.09090909090909091 = 0.0 Example 11: Compute the Geometric mean (GM) of 12 given numbers: 29, 21, 26, 5, 10, 9, 13, 0, 14, 8, 26, 18 Geometric mean = (Product of elements) ^ (number of elements) = (29 x 21 x 26 x 5 x 10 x 9 x 13 x 0 x 14 x 8 x 26 x 18) ^ (1/12) = 0 ^ 0.08333333333333333 = 0.0 Example 12: Compute the Geometric mean (GM) of 13 given numbers: 27, 29, 3, 1, 1, 21, 28, 0, 7, 24, 23, 11, 21 Geometric mean = (Product of elements) ^ (number of elements) = (27 x 29 x 3 x 1 x 1 x 21 x 28 x 0 x 7 x 24 x 23 x 11 x 21) ^ (1/13) = 0 ^ 0.07692307692307693 = 0.0 Example 13: Compute the Geometric mean (GM) of 14 given numbers: 14, 7, 4, 4, 9, 12, 29, 22, 17, 20, 17, 23, 17, 22 Geometric mean = (Product of elements) ^ (number of elements) = (14 x 7 x 4 x 4 x 9 x 12 x 29 x 22 x 17 x 20 x 17 x 23 x 17 x 22) ^ (1/14) = 5371774449592320 ^ 0.07142857142857142 = 13.292 Example 14: Compute the Geometric mean (GM) of 15 given numbers: 26, 5, 22, 29, 28, 7, 20, 29, 24, 2, 8, 8, 11, 16, 8 Geometric mean = (Product of elements) ^ (number of elements) = (26 x 5 x 22 x 29 x 28 x 7 x 20 x 29 x 24 x 2 x 8 x 8 x 11 x 16 x 8) ^ (1/15) = 40782323200819200 ^ 0.06666666666666667 = 12.805 Example 15: Compute the Geometric mean (GM) of 16 given numbers: 12, 20, 13, 1, 22, 8, 8, 4, 12, 16, 28, 28, 16, 11, 3, 28 Geometric mean = (Product of elements) ^ (number of elements) = (12 x 20 x 13 x 1 x 22 x 8 x 8 x 4 x 12 x 16 x 28 x 28 x 16 x 11 x 3 x 28) ^ (1/16) = 39104477323591680 ^ 0.0625 = 10.89 Example 16: Compute the Geometric mean (GM) of 17 given numbers: 19, 3, 19, 13, 6, 23, 24, 19, 17, 11, 5, 5, 21, 9, 23, 4, 5 Geometric mean = (Product of elements) ^ (number of elements) = (19 x 3 x 19 x 13 x 6 x 23 x 24 x 19 x 17 x 11 x 5 x 5 x 21 x 9 x 23 x 4 x 5) ^ (1/17) = 360094915364184000 ^ 0.058823529411764705 = 10.783 Example 17: Compute the Geometric mean (GM) of 18 given numbers: 9, 29, 14, 10, 18, 14, 26, 6, 19, 7, 1, 1, 22, 15, 21, 25, 17, 0 Geometric mean = (Product of elements) ^ (number of elements) = (9 x 29 x 14 x 10 x 18 x 14 x 26 x 6 x 19 x 7 x 1 x 1 x 22 x 15 x 21 x 25 x 17 x 0) ^ (1/18) = 0 ^ 0.05555555555555555 = 0.0 Example 18: Compute the Geometric mean (GM) of 19 given numbers: 21, 16, 12, 28, 24, 17, 12, 22, 11, 5, 11, 23, 8, 26, 4, 8, 18, 21, 22 Geometric mean = (Product of elements) ^ (number of elements) = (21 x 16 x 12 x 28 x 24 x 17 x 12 x 22 x 11 x 5 x 11 x 23 x 8 x 26 x 4 x 8 x 18 x 21 x 22) ^ (1/19) = 9365989128698257735680 ^ 0.05263157894736842 = 14.335 Example 19: Compute the Geometric mean (GM) of 20 given numbers: 28, 3, 14, 23, 16, 25, 8, 28, 27, 17, 8, 4, 2, 28, 29, 13, 7, 12, 13, 12 Geometric mean = (Product of elements) ^ (number of elements) = (28 x 3 x 14 x 23 x 16 x 25 x 8 x 28 x 27 x 17 x 8 x 4 x 2 x 28 x 29 x 13 x 7 x 12 x 13 x 12) ^ (1/20) = 9847797120781988659200 ^ 0.05 = 12.58 Example 20: Compute the Geometric mean (GM) of 21 given numbers: 8, 20, 25, 20, 15, 9, 26, 15, 4, 1, 14, 18, 27, 23, 2, 3, 0, 11, 4, 15, 26 Geometric mean = (Product of elements) ^ (number of elements) = (8 x 20 x 25 x 20 x 15 x 9 x 26 x 15 x 4 x 1 x 14 x 18 x 27 x 23 x 2 x 3 x 0 x 11 x 4 x 15 x 26) ^ (1/21) = 0 ^ 0.047619047619047616 = 0.0 Example 21: Compute the Geometric mean (GM) of 22 given numbers: 1, 23, 6, 25, 16, 12, 21, 24, 12, 18, 14, 29, 16, 17, 7, 12, 11, 9, 12, 8, 12, 24 Geometric mean = (Product of elements) ^ (number of elements) = (1 x 23 x 6 x 25 x 16 x 12 x 21 x 24 x 12 x 18 x 14 x 29 x 16 x 17 x 7 x 12 x 11 x 9 x 12 x 8 x 12 x 24) ^ (1/22) = 1830955336483244448153600 ^ 0.045454545454545456 = 12.672 Example 22: Compute the Geometric mean (GM) of 23 given numbers: 20, 24, 9, 18, 18, 14, 16, 25, 24, 2, 22, 26, 16, 25, 20, 15, 1, 9, 29, 13, 23, 13, 6 Geometric mean = (Product of elements) ^ (number of elements) = (20 x 24 x 9 x 18 x 18 x 14 x 16 x 25 x 24 x 2 x 22 x 26 x 16 x 25 x 20 x 15 x 1 x 9 x 29 x 13 x 23 x 13 x 6) ^ (1/23) = 157196037565560913920000000 ^ 0.043478260869565216 = 13.771 Example 23: Compute the Geometric mean (GM) of 24 given numbers: 23, 20, 5, 6, 29, 23, 9, 15, 0, 10, 2, 20, 24, 1, 8, 16, 6, 20, 3, 23, 4, 21, 9, 0 Geometric mean = (Product of elements) ^ (number of elements) = (23 x 20 x 5 x 6 x 29 x 23 x 9 x 15 x 0 x 10 x 2 x 20 x 24 x 1 x 8 x 16 x 6 x 20 x 3 x 23 x 4 x 21 x 9 x 0) ^ (1/24) = 0 ^ 0.041666666666666664 = 0.0 Example 24: Compute the Geometric mean (GM) of 25 given numbers: 15, 19, 12, 17, 1, 18, 6, 0, 7, 0, 14, 5, 16, 2, 28, 28, 6, 26, 25, 26, 23, 28, 21, 19, 28 Geometric mean = (Product of elements) ^ (number of elements) = (15 x 19 x 12 x 17 x 1 x 18 x 6 x 0 x 7 x 0 x 14 x 5 x 16 x 2 x 28 x 28 x 6 x 26 x 25 x 26 x 23 x 28 x 21 x 19 x 28) ^ (1/25) = 0 ^ 0.04 = 0.0 Example 25: Compute the Geometric mean (GM) of 26 given numbers: 11, 16, 21, 26, 5, 28, 14, 26, 2, 8, 7, 5, 16, 11, 21, 22, 22, 25, 7, 7, 21, 28, 1, 11, 12, 26 Geometric mean = (Product of elements) ^ (number of elements) = (11 x 16 x 21 x 26 x 5 x 28 x 14 x 26 x 2 x 8 x 7 x 5 x 16 x 11 x 21 x 22 x 22 x 25 x 7 x 7 x 21 x 28 x 1 x 11 x 12 x 26) ^ (1/26) = 12127206563471686096650240000 ^ 0.038461538461538464 = 12.027 Example 26: Compute the Geometric mean (GM) of 27 given numbers: 0, 9, 20, 8, 16, 0, 8, 22, 10, 8, 20, 28, 1, 15, 17, 8, 23, 16, 19, 0, 5, 27, 13, 19, 23, 17, 10 Geometric mean = (Product of elements) ^ (number of elements) = (0 x 9 x 20 x 8 x 16 x 0 x 8 x 22 x 10 x 8 x 20 x 28 x 1 x 15 x 17 x 8 x 23 x 16 x 19 x 0 x 5 x 27 x 13 x 19 x 23 x 17 x 10) ^ (1/27) = 0 ^ 0.037037037037037035 = 0.0 Example 27: Compute the Geometric mean (GM) of 28 given numbers: 4, 29, 1, 21, 15, 17, 23, 18, 29, 2, 6, 20, 0, 14, 28, 1, 17, 24, 23, 4, 3, 29, 3, 29, 18, 7, 19, 16 Geometric mean = (Product of elements) ^ (number of elements) = (4 x 29 x 1 x 21 x 15 x 17 x 23 x 18 x 29 x 2 x 6 x 20 x 0 x 14 x 28 x 1 x 17 x 24 x 23 x 4 x 3 x 29 x 3 x 29 x 18 x 7 x 19 x 16) ^ (1/28) = 0 ^ 0.03571428571428571 = 0.0 Example 28: Compute the Geometric mean (GM) of 29 given numbers: 18, 19, 21, 2, 29, 18, 29, 18, 4, 5, 10, 19, 21, 25, 28, 6, 15, 1, 13, 26, 6, 23, 15, 10, 7, 11, 10, 10, 6 Geometric mean = (Product of elements) ^ (number of elements) = (18 x 19 x 21 x 2 x 29 x 18 x 29 x 18 x 4 x 5 x 10 x 19 x 21 x 25 x 28 x 6 x 15 x 1 x 13 x 26 x 6 x 23 x 15 x 10 x 7 x 11 x 10 x 10 x 6) ^ (1/29) = 6360464961969647937408000000000 ^ 0.034482758620689655 = 11.54 Example 29: Compute the Geometric mean (GM) of 30 given numbers: 2, 16, 13, 3, 10, 16, 28, 23, 3, 12, 20, 17, 19, 19, 2, 29, 3, 26, 26, 7, 11, 18, 15, 18, 1, 27, 2, 7, 3, 7 Geometric mean = (Product of elements) ^ (number of elements) = (2 x 16 x 13 x 3 x 10 x 16 x 28 x 23 x 3 x 12 x 20 x 17 x 19 x 19 x 2 x 29 x 3 x 26 x 26 x 7 x 11 x 18 x 15 x 18 x 1 x 27 x 2 x 7 x 3 x 7) ^ (1/30) = 198537746586700580252024832000 ^ 0.03333333333333333 = 9.475 Example 30: Compute the Geometric mean (GM) of 31 given numbers: 28, 27, 4, 29, 14, 15, 27, 0, 17, 28, 9, 0, 2, 1, 20, 28, 21, 9, 4, 26, 19, 3, 1, 28, 22, 23, 9, 27, 29, 11, 21 Geometric mean = (Product of elements) ^ (number of elements) = (28 x 27 x 4 x 29 x 14 x 15 x 27 x 0 x 17 x 28 x 9 x 0 x 2 x 1 x 20 x 28 x 21 x 9 x 4 x 26 x 19 x 3 x 1 x 28 x 22 x 23 x 9 x 27 x 29 x 11 x 21) ^ (1/31) = 0 ^ 0.03225806451612903 = 0.0 Example 31: Compute the Geometric mean (GM) of 32 given numbers: 17, 13, 8, 21, 18, 23, 3, 7, 5, 13, 4, 6, 29, 24, 6, 28, 22, 2, 11, 3, 18, 26, 6, 30, 30, 23, 22, 28, 17, 15, 2, 5 Geometric mean = (Product of elements) ^ (number of elements) = (17 x 13 x 8 x 21 x 18 x 23 x 3 x 7 x 5 x 13 x 4 x 6 x 29 x 24 x 6 x 28 x 22 x 2 x 11 x 3 x 18 x 26 x 6 x 30 x 30 x 23 x 22 x 28 x 17 x 15 x 2 x 5) ^ (1/32) = 7805833237199494032385218969600000 ^ 0.03125 = 11.459 Example 32: Compute the Geometric mean (GM) of 33 given numbers: 18, 4, 20, 6, 8, 3, 19, 23, 23, 11, 30, 9, 14, 27, 5, 11, 4, 3, 26, 16, 22, 30, 16, 15, 3, 5, 12, 30, 14, 6, 30, 19, 19 Geometric mean = (Product of elements) ^ (number of elements) = (18 x 4 x 20 x 6 x 8 x 3 x 19 x 23 x 23 x 11 x 30 x 9 x 14 x 27 x 5 x 11 x 4 x 3 x 26 x 16 x 22 x 30 x 16 x 15 x 3 x 5 x 12 x 30 x 14 x 6 x 30 x 19 x 19) ^ (1/33) = 499892305797873404461921075200000000 ^ 0.030303030303030304 = 12.072 Example 33: Compute the Geometric mean (GM) of 34 given numbers: 9, 21, 17, 16, 5, 18, 16, 24, 26, 19, 9, 15, 15, 12, 26, 11, 7, 12, 24, 2, 2, 2, 23, 15, 27, 22, 18, 26, 2, 4, 8, 23, 29, 7 Geometric mean = (Product of elements) ^ (number of elements) = (9 x 21 x 17 x 16 x 5 x 18 x 16 x 24 x 26 x 19 x 9 x 15 x 15 x 12 x 26 x 11 x 7 x 12 x 24 x 2 x 2 x 2 x 23 x 15 x 27 x 22 x 18 x 26 x 2 x 4 x 8 x 23 x 29 x 7) ^ (1/34) = 2819288069174764360753483370987520000 ^ 0.029411764705882353 = 11.805 Example 34: Compute the Geometric mean (GM) of 35 given numbers: 4, 29, 8, 7, 3, 18, 11, 26, 2, 2, 6, 25, 28, 24, 29, 15, 6, 19, 8, 5, 23, 15, 23, 18, 5, 13, 11, 25, 16, 10, 19, 5, 5, 25, 2 Geometric mean = (Product of elements) ^ (number of elements) = (4 x 29 x 8 x 7 x 3 x 18 x 11 x 26 x 2 x 2 x 6 x 25 x 28 x 24 x 29 x 15 x 6 x 19 x 8 x 5 x 23 x 15 x 23 x 18 x 5 x 13 x 11 x 25 x 16 x 10 x 19 x 5 x 5 x 25 x 2) ^ (1/35) = 778447835708333631160320000000000000 ^ 0.02857142857142857 = 10.604 Example 35: Compute the Geometric mean (GM) of 36 given numbers: 8, 20, 9, 10, 14, 1, 9, 12, 18, 26, 11, 3, 26, 22, 17, 24, 15, 15, 21, 13, 21, 7, 30, 3, 23, 21, 27, 24, 9, 1, 30, 18, 28, 2, 16, 30 Geometric mean = (Product of elements) ^ (number of elements) = (8 x 20 x 9 x 10 x 14 x 1 x 9 x 12 x 18 x 26 x 11 x 3 x 26 x 22 x 17 x 24 x 15 x 15 x 21 x 13 x 21 x 7 x 30 x 3 x 23 x 21 x 27 x 24 x 9 x 1 x 30 x 18 x 28 x 2 x 16 x 30) ^ (1/36) = 2607491778163747376731016197570560000000 ^ 0.027777777777777776 = 12.442 Example 36: Compute the Geometric mean (GM) of 37 given numbers: 8, 12, 7, 28, 11, 11, 15, 14, 27, 9, 18, 24, 17, 16, 16, 6, 14, 27, 26, 17, 18, 30, 8, 30, 4, 20, 23, 17, 23, 13, 18, 21, 14, 17, 17, 8, 18 Geometric mean = (Product of elements) ^ (number of elements) = (8 x 12 x 7 x 28 x 11 x 11 x 15 x 14 x 27 x 9 x 18 x 24 x 17 x 16 x 16 x 6 x 14 x 27 x 26 x 17 x 18 x 30 x 8 x 30 x 4 x 20 x 23 x 17 x 23 x 13 x 18 x 21 x 14 x 17 x 17 x 8 x 18) ^ (1/37) = 58451989921095679148065581228215060398080000 ^ 0.02702702702702703 = 15.237 Example 37: Compute the Geometric mean (GM) of 38 given numbers: 16, 27, 19, 20, 29, 25, 9, 9, 2, 2, 28, 21, 19, 21, 20, 11, 5, 11, 25, 4, 15, 8, 12, 1, 15, 16, 11, 16, 15, 22, 20, 2, 5, 3, 9, 22, 3, 15 Geometric mean = (Product of elements) ^ (number of elements) = (16 x 27 x 19 x 20 x 29 x 25 x 9 x 9 x 2 x 2 x 28 x 21 x 19 x 21 x 20 x 11 x 5 x 11 x 25 x 4 x 15 x 8 x 12 x 1 x 15 x 16 x 11 x 16 x 15 x 22 x 20 x 2 x 5 x 3 x 9 x 22 x 3 x 15) ^ (1/38) = 1174668298151845246339645440000000000000 ^ 0.02631578947368421 = 10.67 Example 38: Compute the Geometric mean (GM) of 39 given numbers: 27, 23, 12, 1, 19, 8, 2, 23, 19, 4, 19, 9, 7, 9, 15, 20, 24, 9, 11, 5, 8, 19, 10, 21, 4, 22, 17, 2, 30, 8, 18, 12, 2, 6, 23, 4, 10, 30, 10 Geometric mean = (Product of elements) ^ (number of elements) = (27 x 23 x 12 x 1 x 19 x 8 x 2 x 23 x 19 x 4 x 19 x 9 x 7 x 9 x 15 x 20 x 24 x 9 x 11 x 5 x 8 x 19 x 10 x 21 x 4 x 22 x 17 x 2 x 30 x 8 x 18 x 12 x 2 x 6 x 23 x 4 x 10 x 30 x 10) ^ (1/39) = 2493113246280773049564830210457600000000 ^ 0.02564102564102564 = 10.237 Example 39: Compute the Geometric mean (GM) of 40 given numbers: 19, 2, 27, 12, 10, 5, 8, 9, 6, 28, 8, 4, 22, 12, 20, 24, 20, 10, 6, 22, 2, 7, 2, 1, 22, 26, 22, 23, 15, 7, 12, 28, 5, 27, 19, 13, 9, 8, 22, 21 Geometric mean = (Product of elements) ^ (number of elements) = (19 x 2 x 27 x 12 x 10 x 5 x 8 x 9 x 6 x 28 x 8 x 4 x 22 x 12 x 20 x 24 x 20 x 10 x 6 x 22 x 2 x 7 x 2 x 1 x 22 x 26 x 22 x 23 x 15 x 7 x 12 x 28 x 5 x 27 x 19 x 13 x 9 x 8 x 22 x 21) ^ (1/40) = 252800428606451176586233377969930240000000 ^ 0.025 = 10.841 Example 40: Compute the Geometric mean (GM) of 41 given numbers: 1, 17, 13, 6, 28, 25, 17, 21, 9, 3, 20, 23, 28, 17, 11, 6, 15, 20, 14, 10, 20, 16, 17, 21, 9, 21, 2, 15, 11, 29, 11, 26, 19, 2, 24, 29, 27, 3, 20, 6, 28 Geometric mean = (Product of elements) ^ (number of elements) = (1 x 17 x 13 x 6 x 28 x 25 x 17 x 21 x 9 x 3 x 20 x 23 x 28 x 17 x 11 x 6 x 15 x 20 x 14 x 10 x 20 x 16 x 17 x 21 x 9 x 21 x 2 x 15 x 11 x 29 x 11 x 26 x 19 x 2 x 24 x 29 x 27 x 3 x 20 x 6 x 28) ^ (1/41) = 2309971686282489058614403206239748096000000000 ^ 0.024390243902439025 = 12.777 Example 41: Compute the Geometric mean (GM) of 42 given numbers: 5, 10, 24, 28, 14, 5, 3, 19, 14, 13, 21, 1, 8, 30, 30, 8, 14, 23, 4, 15, 25, 4, 5, 17, 19, 5, 6, 3, 27, 13, 3, 6, 11, 26, 10, 24, 13, 22, 22, 28, 12, 30 Geometric mean = (Product of elements) ^ (number of elements) = (5 x 10 x 24 x 28 x 14 x 5 x 3 x 19 x 14 x 13 x 21 x 1 x 8 x 30 x 30 x 8 x 14 x 23 x 4 x 15 x 25 x 4 x 5 x 17 x 19 x 5 x 6 x 3 x 27 x 13 x 3 x 6 x 11 x 26 x 10 x 24 x 13 x 22 x 22 x 28 x 12 x 30) ^ (1/42) = 227957371105602348607064047091712000000000000 ^ 0.023809523809523808 = 11.38 Example 42: Compute the Geometric mean (GM) of 43 given numbers: 10, 19, 17, 3, 24, 18, 4, 30, 30, 1, 25, 24, 5, 4, 18, 20, 11, 29, 19, 24, 7, 18, 16, 2, 5, 27, 29, 14, 26, 3, 23, 2, 21, 15, 15, 5, 11, 20, 2, 23, 18, 23, 17 Geometric mean = (Product of elements) ^ (number of elements) = (10 x 19 x 17 x 3 x 24 x 18 x 4 x 30 x 30 x 1 x 25 x 24 x 5 x 4 x 18 x 20 x 11 x 29 x 19 x 24 x 7 x 18 x 16 x 2 x 5 x 27 x 29 x 14 x 26 x 3 x 23 x 2 x 21 x 15 x 15 x 5 x 11 x 20 x 2 x 23 x 18 x 23 x 17) ^ (1/43) = 12635244471615485571851472120840192000000000000 ^ 0.023255813953488372 = 11.807 Example 43: Compute the Geometric mean (GM) of 44 given numbers: 27, 24, 13, 2, 13, 2, 1, 10, 7, 9, 27, 24, 25, 6, 15, 22, 23, 1, 15, 18, 13, 7, 6, 12, 7, 2, 3, 30, 5, 21, 23, 29, 5, 6, 19, 16, 30, 13, 15, 16, 25, 28, 5, 18 Geometric mean = (Product of elements) ^ (number of elements) = (27 x 24 x 13 x 2 x 13 x 2 x 1 x 10 x 7 x 9 x 27 x 24 x 25 x 6 x 15 x 22 x 23 x 1 x 15 x 18 x 13 x 7 x 6 x 12 x 7 x 2 x 3 x 30 x 5 x 21 x 23 x 29 x 5 x 6 x 19 x 16 x 30 x 13 x 15 x 16 x 25 x 28 x 5 x 18) ^ (1/44) = 1709247131082486696942076440084480000000000000 ^ 0.022727272727272728 = 10.666 Example 44: Compute the Geometric mean (GM) of 45 given numbers: 2, 13, 19, 16, 23, 14, 15, 4, 26, 2, 11, 26, 30, 30, 8, 25, 1, 4, 10, 22, 5, 15, 26, 20, 7, 26, 17, 26, 14, 18, 7, 24, 14, 6, 22, 5, 13, 4, 6, 8, 16, 5, 25, 19, 4 Geometric mean = (Product of elements) ^ (number of elements) = (2 x 13 x 19 x 16 x 23 x 14 x 15 x 4 x 26 x 2 x 11 x 26 x 30 x 30 x 8 x 25 x 1 x 4 x 10 x 22 x 5 x 15 x 26 x 20 x 7 x 26 x 17 x 26 x 14 x 18 x 7 x 24 x 14 x 6 x 22 x 5 x 13 x 4 x 6 x 8 x 16 x 5 x 25 x 19 x 4) ^ (1/45) = 167496923568706173011650984563179520000000000000 ^ 0.022222222222222223 = 11.205 Example 45: Compute the Geometric mean (GM) of 46 given numbers: 9, 18, 21, 30, 13, 18, 2, 3, 29, 20, 20, 7, 4, 2, 5, 21, 23, 27, 18, 30, 30, 15, 26, 2, 20, 13, 23, 1, 12, 5, 1, 7, 11, 13, 27, 24, 12, 27, 30, 10, 30, 8, 12, 9, 14, 1 Geometric mean = (Product of elements) ^ (number of elements) = (9 x 18 x 21 x 30 x 13 x 18 x 2 x 3 x 29 x 20 x 20 x 7 x 4 x 2 x 5 x 21 x 23 x 27 x 18 x 30 x 30 x 15 x 26 x 2 x 20 x 13 x 23 x 1 x 12 x 5 x 1 x 7 x 11 x 13 x 27 x 24 x 12 x 27 x 30 x 10 x 30 x 8 x 12 x 9 x 14 x 1) ^ (1/46) = 629578690640403942098917250436169728000000000000 ^ 0.021739130434782608 = 10.942 Example 46: Compute the Geometric mean (GM) of 47 given numbers: 15, 13, 5, 3, 14, 23, 20, 7, 18, 23, 20, 24, 5, 28, 23, 1, 19, 11, 23, 30, 3, 11, 15, 29, 24, 29, 2, 13, 23, 1, 25, 20, 4, 10, 17, 21, 28, 1, 16, 9, 21, 7, 21, 6, 11, 25, 5 Geometric mean = (Product of elements) ^ (number of elements) = (15 x 13 x 5 x 3 x 14 x 23 x 20 x 7 x 18 x 23 x 20 x 24 x 5 x 28 x 23 x 1 x 19 x 11 x 23 x 30 x 3 x 11 x 15 x 29 x 24 x 29 x 2 x 13 x 23 x 1 x 25 x 20 x 4 x 10 x 17 x 21 x 28 x 1 x 16 x 9 x 21 x 7 x 21 x 6 x 11 x 25 x 5) ^ (1/47) = 53299794981601699956111248377572556800000000000000 ^ 0.02127659574468085 = 11.429 Example 47: Compute the Geometric mean (GM) of 48 given numbers: 6, 21, 16, 17, 12, 24, 7, 29, 7, 19, 28, 5, 20, 24, 7, 11, 5, 22, 21, 26, 16, 14, 13, 21, 24, 20, 23, 24, 20, 3, 3, 28, 14, 25, 4, 17, 11, 22, 6, 23, 23, 10, 9, 21, 29, 25, 15, 3 Geometric mean = (Product of elements) ^ (number of elements) = (6 x 21 x 16 x 17 x 12 x 24 x 7 x 29 x 7 x 19 x 28 x 5 x 20 x 24 x 7 x 11 x 5 x 22 x 21 x 26 x 16 x 14 x 13 x 21 x 24 x 20 x 23 x 24 x 20 x 3 x 3 x 28 x 14 x 25 x 4 x 17 x 11 x 22 x 6 x 23 x 23 x 10 x 9 x 21 x 29 x 25 x 15 x 3) ^ (1/48) = 7623563617661302876317647960420435881466265600000000000 ^ 0.020833333333333332 = 13.912 Example 48: Compute the Geometric mean (GM) of 49 given numbers: 22, 20, 29, 20, 8, 24, 2, 22, 17, 3, 24, 30, 29, 14, 15, 3, 5, 19, 17, 24, 13, 19, 4, 10, 9, 26, 18, 17, 20, 5, 14, 22, 18, 4, 21, 6, 16, 1, 30, 28, 9, 18, 3, 18, 29, 6, 29, 4, 5 Geometric mean = (Product of elements) ^ (number of elements) = (22 x 20 x 29 x 20 x 8 x 24 x 2 x 22 x 17 x 3 x 24 x 30 x 29 x 14 x 15 x 3 x 5 x 19 x 17 x 24 x 13 x 19 x 4 x 10 x 9 x 26 x 18 x 17 x 20 x 5 x 14 x 22 x 18 x 4 x 21 x 6 x 16 x 1 x 30 x 28 x 9 x 18 x 3 x 18 x 29 x 6 x 29 x 4 x 5) ^ (1/49) = 131490033178195659814239718710136574752849920000000000 ^ 0.02040816326530612 = 12.136 Example 49: Compute the Geometric mean (GM) of 50 given numbers: 18, 24, 15, 1, 23, 19, 15, 2, 24, 30, 22, 27, 30, 10, 2, 13, 18, 12, 23, 18, 17, 27, 19, 7, 26, 26, 13, 23, 2, 26, 7, 27, 6, 28, 24, 17, 10, 5, 21, 30, 27, 2, 16, 7, 1, 22, 15, 25, 2, 15 Geometric mean = (Product of elements) ^ (number of elements) = (18 x 24 x 15 x 1 x 23 x 19 x 15 x 2 x 24 x 30 x 22 x 27 x 30 x 10 x 2 x 13 x 18 x 12 x 23 x 18 x 17 x 27 x 19 x 7 x 26 x 26 x 13 x 23 x 2 x 26 x 7 x 27 x 6 x 28 x 24 x 17 x 10 x 5 x 21 x 30 x 27 x 2 x 16 x 7 x 1 x 22 x 15 x 25 x 2 x 15) ^ (1/50) = 9932525229647856080765865631837411193389056000000000000 ^ 0.02 = 12.588 Example 50: Compute the Geometric mean (GM) of 51 given numbers: 3, 2, 27, 17, 12, 1, 16, 2, 1, 8, 19, 1, 16, 29, 12, 26, 23, 12, 8, 16, 18, 5, 2, 25, 9, 30, 30, 30, 19, 29, 22, 28, 25, 30, 19, 16, 10, 28, 22, 15, 11, 26, 24, 3, 14, 22, 29, 21, 18, 22, 6 Geometric mean = (Product of elements) ^ (number of elements) = (3 x 2 x 27 x 17 x 12 x 1 x 16 x 2 x 1 x 8 x 19 x 1 x 16 x 29 x 12 x 26 x 23 x 12 x 8 x 16 x 18 x 5 x 2 x 25 x 9 x 30 x 30 x 30 x 19 x 29 x 22 x 28 x 25 x 30 x 19 x 16 x 10 x 28 x 22 x 15 x 11 x 26 x 24 x 3 x 14 x 22 x 29 x 21 x 18 x 22 x 6) ^ (1/51) = 58993106497402977880635223958835072246113894400000000000 ^ 0.0196078431372549 = 12.404 Example 51: Compute the Geometric mean (GM) of 52 given numbers: 4, 9, 25, 27, 28, 1, 4, 8, 24, 7, 24, 3, 14, 11, 19, 13, 11, 21, 19, 2, 1, 8, 10, 18, 26, 15, 21, 28, 23, 15, 7, 21, 12, 11, 5, 19, 21, 1, 26, 6, 16, 7, 13, 8, 25, 23, 21, 30, 17, 11, 20, 22 Geometric mean = (Product of elements) ^ (number of elements) = (4 x 9 x 25 x 27 x 28 x 1 x 4 x 8 x 24 x 7 x 24 x 3 x 14 x 11 x 19 x 13 x 11 x 21 x 19 x 2 x 1 x 8 x 10 x 18 x 26 x 15 x 21 x 28 x 23 x 15 x 7 x 21 x 12 x 11 x 5 x 19 x 21 x 1 x 26 x 6 x 16 x 7 x 13 x 8 x 25 x 23 x 21 x 30 x 17 x 11 x 20 x 22) ^ (1/52) = 21004175373781643590907673724791038662661898240000000000 ^ 0.019230769230769232 = 11.585 Example 52: Compute the Geometric mean (GM) of 53 given numbers: 29, 21, 16, 14, 25, 10, 23, 3, 14, 3, 13, 28, 10, 28, 16, 1, 18, 18, 28, 12, 27, 30, 2, 25, 11, 22, 23, 16, 17, 2, 15, 1, 28, 15, 13, 25, 20, 22, 28, 16, 13, 7, 17, 27, 10, 29, 17, 27, 6, 19, 22, 21, 22 Geometric mean = (Product of elements) ^ (number of elements) = (29 x 21 x 16 x 14 x 25 x 10 x 23 x 3 x 14 x 3 x 13 x 28 x 10 x 28 x 16 x 1 x 18 x 18 x 28 x 12 x 27 x 30 x 2 x 25 x 11 x 22 x 23 x 16 x 17 x 2 x 15 x 1 x 28 x 15 x 13 x 25 x 20 x 22 x 28 x 16 x 13 x 7 x 17 x 27 x 10 x 29 x 17 x 27 x 6 x 19 x 22 x 21 x 22) ^ (1/53) = 5594398269008589356566152959755335837970449039360000000000000 ^ 0.018867924528301886 = 14.002 Example 53: Compute the Geometric mean (GM) of 54 given numbers: 13, 28, 1, 19, 28, 18, 6, 8, 30, 12, 8, 23, 26, 15, 21, 12, 6, 13, 24, 26, 14, 7, 30, 30, 17, 13, 12, 29, 24, 21, 25, 23, 3, 26, 23, 30, 20, 12, 26, 8, 11, 21, 5, 1, 3, 26, 2, 23, 11, 30, 2, 2, 19, 20 Geometric mean = (Product of elements) ^ (number of elements) = (13 x 28 x 1 x 19 x 28 x 18 x 6 x 8 x 30 x 12 x 8 x 23 x 26 x 15 x 21 x 12 x 6 x 13 x 24 x 26 x 14 x 7 x 30 x 30 x 17 x 13 x 12 x 29 x 24 x 21 x 25 x 23 x 3 x 26 x 23 x 30 x 20 x 12 x 26 x 8 x 11 x 21 x 5 x 1 x 3 x 26 x 2 x 23 x 11 x 30 x 2 x 2 x 19 x 20) ^ (1/54) = 582022967371585562656594093278947087431095445094400000000000 ^ 0.018518518518518517 = 12.787 Example 54: Compute the Geometric mean (GM) of 55 given numbers: 13, 21, 4, 10, 25, 10, 8, 28, 15, 4, 26, 14, 26, 2, 23, 25, 11, 10, 28, 26, 7, 11, 6, 29, 11, 20, 27, 4, 29, 16, 26, 17, 14, 23, 1, 19, 15, 22, 18, 2, 1, 14, 29, 23, 11, 16, 11, 2, 27, 5, 7, 21, 14, 27, 7 Geometric mean = (Product of elements) ^ (number of elements) = (13 x 21 x 4 x 10 x 25 x 10 x 8 x 28 x 15 x 4 x 26 x 14 x 26 x 2 x 23 x 25 x 11 x 10 x 28 x 26 x 7 x 11 x 6 x 29 x 11 x 20 x 27 x 4 x 29 x 16 x 26 x 17 x 14 x 23 x 1 x 19 x 15 x 22 x 18 x 2 x 1 x 14 x 29 x 23 x 11 x 16 x 11 x 2 x 27 x 5 x 7 x 21 x 14 x 27 x 7) ^ (1/55) = 288098691967738261809892072768501642104015106867200000000000 ^ 0.01818181818181818 = 12.053 Example 55: Compute the Geometric mean (GM) of 56 given numbers: 22, 26, 16, 6, 29, 3, 24, 18, 3, 29, 7, 12, 13, 14, 7, 22, 10, 22, 10, 30, 26, 10, 13, 6, 5, 15, 26, 21, 29, 7, 18, 20, 21, 18, 26, 5, 11, 2, 24, 10, 4, 26, 28, 16, 23, 14, 9, 10, 7, 25, 4, 12, 13, 30, 28, 21 Geometric mean = (Product of elements) ^ (number of elements) = (22 x 26 x 16 x 6 x 29 x 3 x 24 x 18 x 3 x 29 x 7 x 12 x 13 x 14 x 7 x 22 x 10 x 22 x 10 x 30 x 26 x 10 x 13 x 6 x 5 x 15 x 26 x 21 x 29 x 7 x 18 x 20 x 21 x 18 x 26 x 5 x 11 x 2 x 24 x 10 x 4 x 26 x 28 x 16 x 23 x 14 x 9 x 10 x 7 x 25 x 4 x 12 x 13 x 30 x 28 x 21) ^ (1/56) = 1142681688934924314409776335340250134637851715829760000000000000 ^ 0.017857142857142856 = 13.367 Example 56: Compute the Geometric mean (GM) of 57 given numbers: 7, 26, 16, 26, 28, 21, 1, 10, 18, 4, 1, 8, 9, 9, 25, 16, 8, 18, 2, 10, 14, 16, 5, 22, 5, 30, 3, 17, 10, 2, 29, 5, 25, 30, 15, 14, 12, 19, 19, 5, 4, 12, 28, 30, 12, 18, 1, 1, 3, 9, 20, 17, 1, 17, 22, 16, 17 Geometric mean = (Product of elements) ^ (number of elements) = (7 x 26 x 16 x 26 x 28 x 21 x 1 x 10 x 18 x 4 x 1 x 8 x 9 x 9 x 25 x 16 x 8 x 18 x 2 x 10 x 14 x 16 x 5 x 22 x 5 x 30 x 3 x 17 x 10 x 2 x 29 x 5 x 25 x 30 x 15 x 14 x 12 x 19 x 19 x 5 x 4 x 12 x 28 x 30 x 12 x 18 x 1 x 1 x 3 x 9 x 20 x 17 x 1 x 17 x 22 x 16 x 17) ^ (1/57) = 362909749054568762371384303274803939246080000000000000000 ^ 0.017543859649122806 = 9.824 Example 57: Compute the Geometric mean (GM) of 58 given numbers: 5, 18, 2, 12, 3, 29, 4, 29, 23, 23, 10, 3, 14, 13, 29, 15, 4, 11, 14, 3, 11, 8, 18, 21, 7, 5, 4, 19, 3, 26, 13, 16, 5, 1, 30, 1, 30, 3, 5, 21, 30, 22, 25, 13, 7, 11, 8, 21, 3, 4, 6, 25, 16, 14, 15, 11, 20, 7 Geometric mean = (Product of elements) ^ (number of elements) = (5 x 18 x 2 x 12 x 3 x 29 x 4 x 29 x 23 x 23 x 10 x 3 x 14 x 13 x 29 x 15 x 4 x 11 x 14 x 3 x 11 x 8 x 18 x 21 x 7 x 5 x 4 x 19 x 3 x 26 x 13 x 16 x 5 x 1 x 30 x 1 x 30 x 3 x 5 x 21 x 30 x 22 x 25 x 13 x 7 x 11 x 8 x 21 x 3 x 4 x 6 x 25 x 16 x 14 x 15 x 11 x 20 x 7) ^ (1/58) = 2661751160944782200650242374342025462939648000000000000000 ^ 0.017241379310344827 = 9.774 Example 58: Compute the Geometric mean (GM) of 59 given numbers: 4, 11, 27, 28, 19, 20, 20, 21, 21, 20, 18, 2, 4, 19, 12, 16, 21, 13, 26, 18, 23, 24, 22, 7, 1, 10, 14, 21, 20, 29, 3, 7, 12, 24, 15, 6, 24, 22, 25, 9, 27, 25, 23, 6, 20, 18, 25, 14, 5, 4, 15, 21, 22, 20, 4, 12, 15, 29, 11 Geometric mean = (Product of elements) ^ (number of elements) = (4 x 11 x 27 x 28 x 19 x 20 x 20 x 21 x 21 x 20 x 18 x 2 x 4 x 19 x 12 x 16 x 21 x 13 x 26 x 18 x 23 x 24 x 22 x 7 x 1 x 10 x 14 x 21 x 20 x 29 x 3 x 7 x 12 x 24 x 15 x 6 x 24 x 22 x 25 x 9 x 27 x 25 x 23 x 6 x 20 x 18 x 25 x 14 x 5 x 4 x 15 x 21 x 22 x 20 x 4 x 12 x 15 x 29 x 11) ^ (1/59) = 10482337441696097809205919293205385927704142518681600000000000000000 ^ 0.01694915254237288 = 13.675 Example 59: Compute the Geometric mean (GM) of 60 given numbers: 27, 7, 13, 10, 5, 26, 30, 15, 7, 23, 30, 13, 23, 8, 20, 3, 21, 8, 27, 30, 25, 22, 10, 21, 1, 10, 18, 23, 23, 5, 13, 9, 19, 17, 1, 7, 5, 20, 13, 13, 27, 5, 22, 12, 27, 20, 4, 24, 11, 15, 14, 4, 21, 3, 13, 9, 20, 24, 24, 28 Geometric mean = (Product of elements) ^ (number of elements) = (27 x 7 x 13 x 10 x 5 x 26 x 30 x 15 x 7 x 23 x 30 x 13 x 23 x 8 x 20 x 3 x 21 x 8 x 27 x 30 x 25 x 22 x 10 x 21 x 1 x 10 x 18 x 23 x 23 x 5 x 13 x 9 x 19 x 17 x 1 x 7 x 5 x 20 x 13 x 13 x 27 x 5 x 22 x 12 x 27 x 20 x 4 x 24 x 11 x 15 x 14 x 4 x 21 x 3 x 13 x 9 x 20 x 24 x 24 x 28) ^ (1/60) = 1352943794737247462960433418601442365068768444416000000000000000000 ^ 0.016666666666666666 = 12.653 Example 60: Compute the Geometric mean (GM) of 61 given numbers: 28, 7, 14, 3, 25, 9, 20, 23, 9, 22, 1, 9, 28, 17, 29, 25, 21, 14, 3, 10, 1, 13, 3, 27, 13, 14, 5, 12, 15, 25, 23, 25, 20, 24, 6, 18, 8, 4, 8, 28, 28, 24, 12, 8, 25, 16, 23, 18, 7, 4, 29, 22, 10, 6, 6, 29, 20, 14, 19, 19, 19 Geometric mean = (Product of elements) ^ (number of elements) = (28 x 7 x 14 x 3 x 25 x 9 x 20 x 23 x 9 x 22 x 1 x 9 x 28 x 17 x 29 x 25 x 21 x 14 x 3 x 10 x 1 x 13 x 3 x 27 x 13 x 14 x 5 x 12 x 15 x 25 x 23 x 25 x 20 x 24 x 6 x 18 x 8 x 4 x 8 x 28 x 28 x 24 x 12 x 8 x 25 x 16 x 23 x 18 x 7 x 4 x 29 x 22 x 10 x 6 x 6 x 29 x 20 x 14 x 19 x 19 x 19) ^ (1/61) = 16292170583949012682474090161004217099629657640140800000000000000000 ^ 0.01639344262295082 = 12.643 Example 61: Compute the Geometric mean (GM) of 62 given numbers: 1, 26, 8, 12, 14, 25, 2, 30, 11, 6, 28, 3, 29, 18, 2, 25, 6, 23, 17, 3, 26, 22, 12, 14, 16, 2, 17, 17, 3, 2, 17, 2, 18, 10, 22, 26, 29, 24, 2, 18, 5, 13, 4, 3, 18, 23, 3, 11, 8, 22, 2, 21, 27, 27, 9, 19, 26, 12, 19, 12, 12, 6 Geometric mean = (Product of elements) ^ (number of elements) = (1 x 26 x 8 x 12 x 14 x 25 x 2 x 30 x 11 x 6 x 28 x 3 x 29 x 18 x 2 x 25 x 6 x 23 x 17 x 3 x 26 x 22 x 12 x 14 x 16 x 2 x 17 x 17 x 3 x 2 x 17 x 2 x 18 x 10 x 22 x 26 x 29 x 24 x 2 x 18 x 5 x 13 x 4 x 3 x 18 x 23 x 3 x 11 x 8 x 22 x 2 x 21 x 27 x 27 x 9 x 19 x 26 x 12 x 19 x 12 x 12 x 6) ^ (1/62) = 1255616050229721830052418866208616872309674557943777853440000000 ^ 0.016129032258064516 = 10.417 Example 62: Compute the Geometric mean (GM) of 63 given numbers: 1, 18, 16, 27, 4, 11, 17, 28, 4, 27, 9, 29, 7, 13, 4, 27, 28, 28, 11, 18, 14, 14, 18, 17, 22, 13, 8, 30, 20, 27, 20, 15, 18, 15, 20, 30, 16, 14, 19, 24, 17, 4, 10, 26, 26, 28, 7, 2, 16, 7, 11, 14, 17, 29, 29, 25, 9, 29, 4, 23, 30, 10, 3 Geometric mean = (Product of elements) ^ (number of elements) = (1 x 18 x 16 x 27 x 4 x 11 x 17 x 28 x 4 x 27 x 9 x 29 x 7 x 13 x 4 x 27 x 28 x 28 x 11 x 18 x 14 x 14 x 18 x 17 x 22 x 13 x 8 x 30 x 20 x 27 x 20 x 15 x 18 x 15 x 20 x 30 x 16 x 14 x 19 x 24 x 17 x 4 x 10 x 26 x 26 x 28 x 7 x 2 x 16 x 7 x 11 x 14 x 17 x 29 x 29 x 25 x 9 x 29 x 4 x 23 x 30 x 10 x 3) ^ (1/63) = 1855497598580054540286971625932118509775369531551817092038656000000000000 ^ 0.015873015873015872 = 14.032 Example 63: Compute the Geometric mean (GM) of 64 given numbers: 8, 24, 9, 17, 17, 20, 29, 26, 8, 8, 21, 11, 25, 28, 25, 22, 22, 9, 10, 10, 21, 12, 1, 1, 15, 30, 23, 16, 22, 8, 10, 1, 15, 30, 12, 23, 4, 28, 22, 17, 2, 7, 4, 6, 11, 1, 8, 25, 27, 26, 20, 11, 10, 24, 1, 23, 10, 7, 26, 30, 20, 27, 8, 21 Geometric mean = (Product of elements) ^ (number of elements) = (8 x 24 x 9 x 17 x 17 x 20 x 29 x 26 x 8 x 8 x 21 x 11 x 25 x 28 x 25 x 22 x 22 x 9 x 10 x 10 x 21 x 12 x 1 x 1 x 15 x 30 x 23 x 16 x 22 x 8 x 10 x 1 x 15 x 30 x 12 x 23 x 4 x 28 x 22 x 17 x 2 x 7 x 4 x 6 x 11 x 1 x 8 x 25 x 27 x 26 x 20 x 11 x 10 x 24 x 1 x 23 x 10 x 7 x 26 x 30 x 20 x 27 x 8 x 21) ^ (1/64) = 1012283297169812165294632299110786835175576782766080000000000000000000 ^ 0.015625 = 11.973 Example 64: Compute the Geometric mean (GM) of 65 given numbers: 11, 28, 16, 10, 25, 23, 10, 4, 15, 24, 1, 14, 2, 30, 2, 19, 16, 25, 6, 11, 30, 13, 18, 22, 23, 21, 9, 19, 28, 26, 5, 7, 26, 25, 3, 29, 30, 2, 16, 15, 21, 6, 18, 8, 7, 12, 7, 29, 10, 19, 19, 30, 6, 18, 11, 30, 19, 24, 8, 13, 15, 9, 1, 3, 4 Geometric mean = (Product of elements) ^ (number of elements) = (11 x 28 x 16 x 10 x 25 x 23 x 10 x 4 x 15 x 24 x 1 x 14 x 2 x 30 x 2 x 19 x 16 x 25 x 6 x 11 x 30 x 13 x 18 x 22 x 23 x 21 x 9 x 19 x 28 x 26 x 5 x 7 x 26 x 25 x 3 x 29 x 30 x 2 x 16 x 15 x 21 x 6 x 18 x 8 x 7 x 12 x 7 x 29 x 10 x 19 x 19 x 30 x 6 x 18 x 11 x 30 x 19 x 24 x 8 x 13 x 15 x 9 x 1 x 3 x 4) ^ (1/65) = 8349358602781768290795736049628379310934335592333312000000000000000000 ^ 0.015384615384615385 = 11.905 Example 65: Compute the Geometric mean (GM) of 66 given numbers: 15, 19, 17, 8, 21, 23, 30, 8, 2, 19, 5, 18, 5, 10, 30, 16, 9, 24, 24, 1, 22, 15, 4, 23, 22, 13, 5, 12, 9, 15, 13, 21, 15, 28, 23, 29, 17, 5, 1, 20, 8, 27, 19, 13, 16, 27, 21, 4, 27, 5, 23, 12, 3, 24, 18, 22, 29, 18, 28, 29, 15, 15, 9, 11, 11, 8 Geometric mean = (Product of elements) ^ (number of elements) = (15 x 19 x 17 x 8 x 21 x 23 x 30 x 8 x 2 x 19 x 5 x 18 x 5 x 10 x 30 x 16 x 9 x 24 x 24 x 1 x 22 x 15 x 4 x 23 x 22 x 13 x 5 x 12 x 9 x 15 x 13 x 21 x 15 x 28 x 23 x 29 x 17 x 5 x 1 x 20 x 8 x 27 x 19 x 13 x 16 x 27 x 21 x 4 x 27 x 5 x 23 x 12 x 3 x 24 x 18 x 22 x 29 x 18 x 28 x 29 x 15 x 15 x 9 x 11 x 11 x 8) ^ (1/66) = 29874124098592100558242169750833383368099502248261358452736000000000000000 ^ 0.015151515151515152 = 12.98 Example 66: Compute the Geometric mean (GM) of 67 given numbers: 13, 1, 16, 24, 23, 28, 8, 20, 29, 29, 3, 21, 4, 3, 15, 25, 10, 13, 19, 16, 6, 25, 21, 15, 4, 23, 28, 13, 23, 4, 11, 14, 14, 21, 9, 30, 24, 29, 3, 8, 28, 27, 15, 15, 5, 28, 14, 14, 29, 10, 26, 22, 22, 29, 28, 8, 9, 11, 28, 4, 14, 30, 19, 18, 17, 11, 18 Geometric mean = (Product of elements) ^ (number of elements) = (13 x 1 x 16 x 24 x 23 x 28 x 8 x 20 x 29 x 29 x 3 x 21 x 4 x 3 x 15 x 25 x 10 x 13 x 19 x 16 x 6 x 25 x 21 x 15 x 4 x 23 x 28 x 13 x 23 x 4 x 11 x 14 x 14 x 21 x 9 x 30 x 24 x 29 x 3 x 8 x 28 x 27 x 15 x 15 x 5 x 28 x 14 x 14 x 29 x 10 x 26 x 22 x 22 x 29 x 28 x 8 x 9 x 11 x 28 x 4 x 14 x 30 x 19 x 18 x 17 x 11 x 18) ^ (1/67) = 85461682638245965459705011322118920869261141908205900835219046400000000000000 ^ 0.014925373134328358 = 14.068 Example 67: Compute the Geometric mean (GM) of 68 given numbers: 19, 2, 27, 24, 9, 25, 28, 6, 6, 22, 24, 21, 27, 25, 8, 17, 19, 29, 24, 9, 29, 8, 28, 30, 30, 10, 21, 22, 15, 24, 11, 5, 18, 12, 22, 10, 9, 9, 14, 8, 5, 8, 27, 25, 17, 14, 20, 6, 8, 8, 9, 18, 13, 18, 18, 29, 16, 12, 4, 19, 29, 6, 12, 19, 6, 4, 21, 30 Geometric mean = (Product of elements) ^ (number of elements) = (19 x 2 x 27 x 24 x 9 x 25 x 28 x 6 x 6 x 22 x 24 x 21 x 27 x 25 x 8 x 17 x 19 x 29 x 24 x 9 x 29 x 8 x 28 x 30 x 30 x 10 x 21 x 22 x 15 x 24 x 11 x 5 x 18 x 12 x 22 x 10 x 9 x 9 x 14 x 8 x 5 x 8 x 27 x 25 x 17 x 14 x 20 x 6 x 8 x 8 x 9 x 18 x 13 x 18 x 18 x 29 x 16 x 12 x 4 x 19 x 29 x 6 x 12 x 19 x 6 x 4 x 21 x 30) ^ (1/68) = 1333312927115731348911357686752567367674117603338546088721252352000000000000000 ^ 0.014705882352941176 = 14.09 Example 68: Compute the Geometric mean (GM) of 69 given numbers: 28, 5, 13, 13, 28, 6, 23, 12, 30, 28, 17, 17, 26, 8, 6, 8, 4, 3, 27, 24, 11, 13, 9, 18, 28, 26, 12, 24, 19, 14, 20, 29, 10, 11, 15, 2, 5, 9, 23, 4, 6, 30, 7, 20, 16, 2, 4, 19, 29, 14, 7, 24, 15, 23, 28, 19, 26, 4, 23, 1, 29, 23, 9, 22, 16, 27, 27, 15, 5 Geometric mean = (Product of elements) ^ (number of elements) = (28 x 5 x 13 x 13 x 28 x 6 x 23 x 12 x 30 x 28 x 17 x 17 x 26 x 8 x 6 x 8 x 4 x 3 x 27 x 24 x 11 x 13 x 9 x 18 x 28 x 26 x 12 x 24 x 19 x 14 x 20 x 29 x 10 x 11 x 15 x 2 x 5 x 9 x 23 x 4 x 6 x 30 x 7 x 20 x 16 x 2 x 4 x 19 x 29 x 14 x 7 x 24 x 15 x 23 x 28 x 19 x 26 x 4 x 23 x 1 x 29 x 23 x 9 x 22 x 16 x 27 x 27 x 15 x 5) ^ (1/69) = 44880843995823310770384140717209850459006755736681331953777403494400000000000 ^ 0.014492753623188406 = 12.909 Example 69: Compute the Geometric mean (GM) of 70 given numbers: 1, 2, 17, 15, 5, 16, 28, 6, 15, 2, 1, 8, 15, 5, 16, 19, 12, 22, 22, 28, 13, 30, 2, 18, 13, 11, 20, 21, 21, 19, 24, 9, 9, 4, 3, 5, 8, 12, 8, 12, 3, 22, 4, 29, 27, 8, 6, 18, 8, 7, 12, 21, 4, 1, 8, 15, 13, 21, 15, 26, 30, 7, 6, 24, 19, 25, 2, 23, 18, 21 Geometric mean = (Product of elements) ^ (number of elements) = (1 x 2 x 17 x 15 x 5 x 16 x 28 x 6 x 15 x 2 x 1 x 8 x 15 x 5 x 16 x 19 x 12 x 22 x 22 x 28 x 13 x 30 x 2 x 18 x 13 x 11 x 20 x 21 x 21 x 19 x 24 x 9 x 9 x 4 x 3 x 5 x 8 x 12 x 8 x 12 x 3 x 22 x 4 x 29 x 27 x 8 x 6 x 18 x 8 x 7 x 12 x 21 x 4 x 1 x 8 x 15 x 13 x 21 x 15 x 26 x 30 x 7 x 6 x 24 x 19 x 25 x 2 x 23 x 18 x 21) ^ (1/70) = 70970358587767464299831675525060494793452466877752106024960000000000000 ^ 0.014285714285714285 = 10.284 Example 70: Compute the Geometric mean (GM) of 71 given numbers: 10, 1, 28, 5, 20, 29, 3, 6, 21, 12, 22, 23, 13, 16, 16, 14, 16, 11, 16, 27, 24, 6, 1, 18, 24, 23, 4, 1, 21, 2, 20, 6, 4, 14, 19, 9, 20, 29, 14, 16, 26, 27, 12, 15, 16, 5, 2, 19, 26, 15, 3, 2, 18, 10, 25, 20, 20, 11, 12, 5, 9, 12, 8, 14, 12, 18, 27, 16, 20, 10, 1 Geometric mean = (Product of elements) ^ (number of elements) = (10 x 1 x 28 x 5 x 20 x 29 x 3 x 6 x 21 x 12 x 22 x 23 x 13 x 16 x 16 x 14 x 16 x 11 x 16 x 27 x 24 x 6 x 1 x 18 x 24 x 23 x 4 x 1 x 21 x 2 x 20 x 6 x 4 x 14 x 19 x 9 x 20 x 29 x 14 x 16 x 26 x 27 x 12 x 15 x 16 x 5 x 2 x 19 x 26 x 15 x 3 x 2 x 18 x 10 x 25 x 20 x 20 x 11 x 12 x 5 x 9 x 12 x 8 x 14 x 12 x 18 x 27 x 16 x 20 x 10 x 1) ^ (1/71) = 57113251104860205702007776138967054974082538422497108295680000000000000000 ^ 0.014084507042253521 = 10.935 Example 71: Compute the Geometric mean (GM) of 72 given numbers: 28, 16, 17, 1, 19, 19, 19, 23, 25, 18, 15, 9, 9, 27, 12, 28, 3, 22, 13, 6, 16, 21, 27, 10, 5, 4, 1, 1, 3, 14, 2, 18, 21, 9, 4, 30, 11, 1, 15, 5, 22, 25, 25, 2, 1, 12, 30, 21, 10, 14, 30, 26, 28, 24, 4, 5, 1, 14, 10, 14, 3, 16, 11, 13, 8, 23, 7, 18, 8, 13, 9, 25 Geometric mean = (Product of elements) ^ (number of elements) = (28 x 16 x 17 x 1 x 19 x 19 x 19 x 23 x 25 x 18 x 15 x 9 x 9 x 27 x 12 x 28 x 3 x 22 x 13 x 6 x 16 x 21 x 27 x 10 x 5 x 4 x 1 x 1 x 3 x 14 x 2 x 18 x 21 x 9 x 4 x 30 x 11 x 1 x 15 x 5 x 22 x 25 x 25 x 2 x 1 x 12 x 30 x 21 x 10 x 14 x 30 x 26 x 28 x 24 x 4 x 5 x 1 x 14 x 10 x 14 x 3 x 16 x 11 x 13 x 8 x 23 x 7 x 18 x 8 x 13 x 9 x 25) ^ (1/72) = 3507048250764602672792206613682853331827664876092784640000000000000000000 ^ 0.013888888888888888 = 10.176 Example 72: Compute the Geometric mean (GM) of 73 given numbers: 3, 16, 27, 26, 17, 16, 25, 16, 11, 20, 2, 16, 28, 27, 15, 28, 24, 10, 21, 7, 26, 16, 5, 21, 29, 27, 27, 26, 20, 19, 6, 22, 8, 19, 27, 27, 11, 24, 6, 25, 10, 11, 8, 8, 23, 1, 4, 7, 22, 19, 26, 6, 1, 16, 5, 16, 11, 16, 9, 27, 23, 7, 1, 4, 24, 6, 27, 23, 9, 14, 17, 20, 13 Geometric mean = (Product of elements) ^ (number of elements) = (3 x 16 x 27 x 26 x 17 x 16 x 25 x 16 x 11 x 20 x 2 x 16 x 28 x 27 x 15 x 28 x 24 x 10 x 21 x 7 x 26 x 16 x 5 x 21 x 29 x 27 x 27 x 26 x 20 x 19 x 6 x 22 x 8 x 19 x 27 x 27 x 11 x 24 x 6 x 25 x 10 x 11 x 8 x 8 x 23 x 1 x 4 x 7 x 22 x 19 x 26 x 6 x 1 x 16 x 5 x 16 x 11 x 16 x 9 x 27 x 23 x 7 x 1 x 4 x 24 x 6 x 27 x 23 x 9 x 14 x 17 x 20 x 13) ^ (1/73) = 793059902069981777412956533420179004253150894046053878842800505618432000000000000 ^ 0.0136986301369863 = 12.829 Example 73: Compute the Geometric mean (GM) of 74 given numbers: 16, 25, 9, 3, 19, 4, 21, 12, 23, 19, 8, 7, 9, 30, 17, 27, 27, 8, 15, 25, 16, 10, 25, 12, 11, 23, 4, 3, 26, 13, 15, 14, 6, 30, 13, 15, 25, 2, 17, 12, 26, 24, 10, 5, 4, 23, 26, 3, 15, 20, 4, 26, 10, 29, 26, 20, 28, 30, 15, 29, 17, 22, 4, 22, 18, 10, 16, 12, 5, 25, 13, 2, 3, 25 Geometric mean = (Product of elements) ^ (number of elements) = (16 x 25 x 9 x 3 x 19 x 4 x 21 x 12 x 23 x 19 x 8 x 7 x 9 x 30 x 17 x 27 x 27 x 8 x 15 x 25 x 16 x 10 x 25 x 12 x 11 x 23 x 4 x 3 x 26 x 13 x 15 x 14 x 6 x 30 x 13 x 15 x 25 x 2 x 17 x 12 x 26 x 24 x 10 x 5 x 4 x 23 x 26 x 3 x 15 x 20 x 4 x 26 x 10 x 29 x 26 x 20 x 28 x 30 x 15 x 29 x 17 x 22 x 4 x 22 x 18 x 10 x 16 x 12 x 5 x 25 x 13 x 2 x 3 x 25) ^ (1/74) = 20081180697186839714737651960906995414122054356901560320000000000000000000000000000 ^ 0.013513513513513514 = 12.948 Example 74: Compute the Geometric mean (GM) of 75 given numbers: 8, 13, 9, 29, 2, 21, 17, 21, 15, 9, 7, 29, 20, 14, 21, 29, 15, 21, 23, 29, 15, 10, 12, 12, 8, 26, 15, 18, 3, 18, 27, 10, 18, 18, 17, 2, 20, 26, 24, 24, 12, 4, 3, 12, 11, 25, 9, 16, 25, 29, 14, 29, 9, 27, 18, 10, 18, 28, 26, 15, 28, 14, 22, 27, 4, 12, 12, 25, 23, 3, 3, 16, 14, 7, 22 Geometric mean = (Product of elements) ^ (number of elements) = (8 x 13 x 9 x 29 x 2 x 21 x 17 x 21 x 15 x 9 x 7 x 29 x 20 x 14 x 21 x 29 x 15 x 21 x 23 x 29 x 15 x 10 x 12 x 12 x 8 x 26 x 15 x 18 x 3 x 18 x 27 x 10 x 18 x 18 x 17 x 2 x 20 x 26 x 24 x 24 x 12 x 4 x 3 x 12 x 11 x 25 x 9 x 16 x 25 x 29 x 14 x 29 x 9 x 27 x 18 x 10 x 18 x 28 x 26 x 15 x 28 x 14 x 22 x 27 x 4 x 12 x 12 x 25 x 23 x 3 x 3 x 16 x 14 x 7 x 22) ^ (1/75) = 96687865977292567868135711409002349191073969522314368236729138193367040000000000000000 ^ 0.013333333333333334 = 14.011 Example 75: Compute the Geometric mean (GM) of 76 given numbers: 4, 20, 28, 6, 22, 19, 17, 15, 16, 8, 14, 15, 19, 18, 10, 9, 29, 10, 11, 17, 7, 2, 19, 25, 16, 22, 15, 1, 8, 1, 29, 12, 1, 12, 13, 20, 21, 25, 25, 30, 11, 7, 30, 23, 6, 30, 22, 1, 7, 9, 28, 4, 9, 16, 26, 22, 11, 14, 17, 16, 26, 17, 15, 28, 29, 28, 1, 17, 23, 24, 6, 5, 28, 23, 3, 2 Geometric mean = (Product of elements) ^ (number of elements) = (4 x 20 x 28 x 6 x 22 x 19 x 17 x 15 x 16 x 8 x 14 x 15 x 19 x 18 x 10 x 9 x 29 x 10 x 11 x 17 x 7 x 2 x 19 x 25 x 16 x 22 x 15 x 1 x 8 x 1 x 29 x 12 x 1 x 12 x 13 x 20 x 21 x 25 x 25 x 30 x 11 x 7 x 30 x 23 x 6 x 30 x 22 x 1 x 7 x 9 x 28 x 4 x 9 x 16 x 26 x 22 x 11 x 14 x 17 x 16 x 26 x 17 x 15 x 28 x 29 x 28 x 1 x 17 x 23 x 24 x 6 x 5 x 28 x 23 x 3 x 2) ^ (1/76) = 6482893021885602102731821676482434178848917459526074434949480448000000000000000000 ^ 0.013157894736842105 = 11.925 Example 76: Compute the Geometric mean (GM) of 77 given numbers: 19, 14, 2, 14, 1, 11, 1, 18, 14, 14, 10, 8, 15, 26, 5, 29, 18, 29, 30, 26, 5, 17, 24, 22, 24, 14, 27, 15, 20, 21, 6, 29, 30, 21, 25, 26, 28, 30, 26, 6, 18, 22, 29, 24, 10, 1, 12, 12, 18, 14, 6, 5, 11, 11, 18, 15, 26, 4, 9, 9, 23, 13, 21, 5, 7, 26, 3, 6, 8, 5, 15, 26, 11, 8, 10, 4, 18 Geometric mean = (Product of elements) ^ (number of elements) = (19 x 14 x 2 x 14 x 1 x 11 x 1 x 18 x 14 x 14 x 10 x 8 x 15 x 26 x 5 x 29 x 18 x 29 x 30 x 26 x 5 x 17 x 24 x 22 x 24 x 14 x 27 x 15 x 20 x 21 x 6 x 29 x 30 x 21 x 25 x 26 x 28 x 30 x 26 x 6 x 18 x 22 x 29 x 24 x 10 x 1 x 12 x 12 x 18 x 14 x 6 x 5 x 11 x 11 x 18 x 15 x 26 x 4 x 9 x 9 x 23 x 13 x 21 x 5 x 7 x 26 x 3 x 6 x 8 x 5 x 15 x 26 x 11 x 8 x 10 x 4 x 18) ^ (1/77) = 1070415681350372181105456159667003983422428550585272800795609268224000000000000000000 ^ 0.012987012987012988 = 12.339 Example 77: Compute the Geometric mean (GM) of 78 given numbers: 17, 8, 3, 27, 5, 19, 16, 15, 17, 11, 30, 26, 15, 14, 23, 23, 9, 7, 1, 12, 5, 19, 19, 11, 26, 27, 2, 24, 5, 11, 6, 16, 7, 9, 15, 11, 19, 18, 19, 21, 1, 18, 24, 14, 19, 5, 24, 19, 6, 21, 4, 1, 27, 17, 28, 16, 3, 24, 20, 7, 1, 27, 22, 16, 1, 15, 10, 16, 28, 18, 14, 9, 23, 2, 17, 17, 20, 29 Geometric mean = (Product of elements) ^ (number of elements) = (17 x 8 x 3 x 27 x 5 x 19 x 16 x 15 x 17 x 11 x 30 x 26 x 15 x 14 x 23 x 23 x 9 x 7 x 1 x 12 x 5 x 19 x 19 x 11 x 26 x 27 x 2 x 24 x 5 x 11 x 6 x 16 x 7 x 9 x 15 x 11 x 19 x 18 x 19 x 21 x 1 x 18 x 24 x 14 x 19 x 5 x 24 x 19 x 6 x 21 x 4 x 1 x 27 x 17 x 28 x 16 x 3 x 24 x 20 x 7 x 1 x 27 x 22 x 16 x 1 x 15 x 10 x 16 x 28 x 18 x 14 x 9 x 23 x 2 x 17 x 17 x 20 x 29) ^ (1/78) = 47128305183124334317737954683746016802449955940036901694859401354018816000000000000 ^ 0.01282051282051282 = 11.479 Example 78: Compute the Geometric mean (GM) of 79 given numbers: 16, 9, 20, 12, 17, 1, 30, 2, 29, 27, 7, 13, 29, 13, 23, 18, 28, 27, 27, 7, 13, 14, 5, 26, 28, 5, 12, 13, 25, 4, 26, 21, 16, 16, 25, 2, 15, 27, 14, 3, 20, 18, 19, 3, 11, 6, 15, 27, 24, 17, 27, 12, 3, 2, 21, 17, 20, 23, 8, 7, 29, 12, 29, 7, 30, 30, 2, 17, 29, 4, 14, 5, 27, 26, 29, 4, 8, 28, 22 Geometric mean = (Product of elements) ^ (number of elements) = (16 x 9 x 20 x 12 x 17 x 1 x 30 x 2 x 29 x 27 x 7 x 13 x 29 x 13 x 23 x 18 x 28 x 27 x 27 x 7 x 13 x 14 x 5 x 26 x 28 x 5 x 12 x 13 x 25 x 4 x 26 x 21 x 16 x 16 x 25 x 2 x 15 x 27 x 14 x 3 x 20 x 18 x 19 x 3 x 11 x 6 x 15 x 27 x 24 x 17 x 27 x 12 x 3 x 2 x 21 x 17 x 20 x 23 x 8 x 7 x 29 x 12 x 29 x 7 x 30 x 30 x 2 x 17 x 29 x 4 x 14 x 5 x 27 x 26 x 29 x 4 x 8 x 28 x 22) ^ (1/79) = 9697102875359735111528130867431431042937915825942727244339457921686437888000000000000000 ^ 0.012658227848101266 = 12.994 Example 79: Compute the Geometric mean (GM) of 80 given numbers: 23, 27, 1, 25, 13, 29, 30, 6, 10, 17, 23, 4, 23, 14, 4, 7, 3, 17, 6, 30, 4, 20, 1, 28, 12, 16, 12, 9, 7, 21, 28, 17, 8, 11, 25, 5, 5, 14, 30, 26, 2, 6, 17, 30, 26, 19, 24, 1, 29, 13, 16, 15, 13, 17, 10, 10, 2, 26, 2, 7, 8, 11, 19, 13, 21, 3, 17, 29, 10, 10, 23, 2, 16, 3, 2, 2, 5, 7, 17, 14 Geometric mean = (Product of elements) ^ (number of elements) = (23 x 27 x 1 x 25 x 13 x 29 x 30 x 6 x 10 x 17 x 23 x 4 x 23 x 14 x 4 x 7 x 3 x 17 x 6 x 30 x 4 x 20 x 1 x 28 x 12 x 16 x 12 x 9 x 7 x 21 x 28 x 17 x 8 x 11 x 25 x 5 x 5 x 14 x 30 x 26 x 2 x 6 x 17 x 30 x 26 x 19 x 24 x 1 x 29 x 13 x 16 x 15 x 13 x 17 x 10 x 10 x 2 x 26 x 2 x 7 x 8 x 11 x 19 x 13 x 21 x 3 x 17 x 29 x 10 x 10 x 23 x 2 x 16 x 3 x 2 x 2 x 5 x 7 x 17 x 14) ^ (1/80) = 1396556236676746844321985524133591886201439768908528790041264128000000000000000000 ^ 0.0125 = 10.335 Example 80: Compute the Geometric mean (GM) of 81 given numbers: 1, 1, 23, 27, 4, 28, 25, 14, 13, 8, 20, 14, 18, 30, 18, 20, 16, 12, 8, 6, 16, 13, 20, 23, 22, 23, 23, 13, 20, 21, 15, 13, 18, 21, 24, 28, 8, 10, 6, 22, 12, 21, 6, 19, 22, 28, 4, 25, 14, 22, 14, 14, 15, 18, 19, 27, 17, 18, 14, 2, 23, 18, 27, 3, 19, 6, 19, 29, 17, 7, 23, 8, 4, 15, 25, 21, 24, 5, 21, 13, 17 Geometric mean = (Product of elements) ^ (number of elements) = (1 x 1 x 23 x 27 x 4 x 28 x 25 x 14 x 13 x 8 x 20 x 14 x 18 x 30 x 18 x 20 x 16 x 12 x 8 x 6 x 16 x 13 x 20 x 23 x 22 x 23 x 23 x 13 x 20 x 21 x 15 x 13 x 18 x 21 x 24 x 28 x 8 x 10 x 6 x 22 x 12 x 21 x 6 x 19 x 22 x 28 x 4 x 25 x 14 x 22 x 14 x 14 x 15 x 18 x 19 x 27 x 17 x 18 x 14 x 2 x 23 x 18 x 27 x 3 x 19 x 6 x 19 x 29 x 17 x 7 x 23 x 8 x 4 x 15 x 25 x 21 x 24 x 5 x 21 x 13 x 17) ^ (1/81) = 414307667959004033241655138386551580666556466645765133799660089886885627822080000000000000000 ^ 0.012345679012345678 = 13.913 Example 81: Compute the Geometric mean (GM) of 82 given numbers: 2, 26, 26, 13, 26, 11, 2, 17, 17, 10, 10, 7, 23, 24, 24, 17, 29, 12, 25, 25, 22, 4, 10, 14, 18, 22, 11, 29, 13, 22, 21, 30, 28, 23, 6, 22, 29, 16, 23, 24, 7, 17, 30, 24, 12, 22, 1, 12, 22, 25, 10, 30, 11, 12, 9, 21, 23, 14, 13, 11, 25, 17, 20, 13, 4, 11, 28, 3, 18, 24, 3, 8, 16, 12, 22, 27, 24, 16, 28, 5, 8, 6 Geometric mean = (Product of elements) ^ (number of elements) = (2 x 26 x 26 x 13 x 26 x 11 x 2 x 17 x 17 x 10 x 10 x 7 x 23 x 24 x 24 x 17 x 29 x 12 x 25 x 25 x 22 x 4 x 10 x 14 x 18 x 22 x 11 x 29 x 13 x 22 x 21 x 30 x 28 x 23 x 6 x 22 x 29 x 16 x 23 x 24 x 7 x 17 x 30 x 24 x 12 x 22 x 1 x 12 x 22 x 25 x 10 x 30 x 11 x 12 x 9 x 21 x 23 x 14 x 13 x 11 x 25 x 17 x 20 x 13 x 4 x 11 x 28 x 3 x 18 x 24 x 3 x 8 x 16 x 12 x 22 x 27 x 24 x 16 x 28 x 5 x 8 x 6) ^ (1/82) = 38998157914407482631823047218308495004437105231936771178308468500282504275558400000000000000000 ^ 0.012195121951219513 = 14.241 Example 82: Compute the Geometric mean (GM) of 83 given numbers: 1, 24, 14, 11, 20, 12, 26, 14, 4, 20, 11, 12, 11, 21, 3, 3, 12, 12, 11, 17, 1, 27, 18, 18, 15, 12, 20, 24, 27, 23, 21, 28, 10, 11, 14, 14, 18, 2, 3, 12, 17, 1, 28, 18, 28, 26, 19, 14, 22, 26, 21, 19, 9, 5, 23, 17, 3, 13, 26, 8, 7, 16, 4, 12, 28, 19, 23, 4, 1, 14, 14, 19, 12, 2, 12, 16, 3, 7, 19, 7, 16, 17, 11 Geometric mean = (Product of elements) ^ (number of elements) = (1 x 24 x 14 x 11 x 20 x 12 x 26 x 14 x 4 x 20 x 11 x 12 x 11 x 21 x 3 x 3 x 12 x 12 x 11 x 17 x 1 x 27 x 18 x 18 x 15 x 12 x 20 x 24 x 27 x 23 x 21 x 28 x 10 x 11 x 14 x 14 x 18 x 2 x 3 x 12 x 17 x 1 x 28 x 18 x 28 x 26 x 19 x 14 x 22 x 26 x 21 x 19 x 9 x 5 x 23 x 17 x 3 x 13 x 26 x 8 x 7 x 16 x 4 x 12 x 28 x 19 x 23 x 4 x 1 x 14 x 14 x 19 x 12 x 2 x 12 x 16 x 3 x 7 x 19 x 7 x 16 x 17 x 11) ^ (1/83) = 3001955802840471193638032734141979288432526048032375502643433316783112733325262848000000 ^ 0.012048192771084338 = 11.323 Example 83: Compute the Geometric mean (GM) of 84 given numbers: 14, 14, 14, 6, 19, 6, 13, 5, 30, 27, 24, 6, 4, 5, 29, 8, 3, 4, 29, 28, 16, 11, 2, 29, 6, 18, 27, 20, 7, 19, 10, 3, 12, 5, 13, 7, 28, 25, 28, 28, 2, 27, 15, 16, 21, 21, 15, 14, 1, 27, 8, 1, 2, 18, 20, 30, 13, 16, 23, 7, 9, 25, 24, 21, 15, 12, 16, 28, 22, 13, 7, 7, 29, 6, 29, 26, 6, 18, 24, 8, 18, 9, 14, 25 Geometric mean = (Product of elements) ^ (number of elements) = (14 x 14 x 14 x 6 x 19 x 6 x 13 x 5 x 30 x 27 x 24 x 6 x 4 x 5 x 29 x 8 x 3 x 4 x 29 x 28 x 16 x 11 x 2 x 29 x 6 x 18 x 27 x 20 x 7 x 19 x 10 x 3 x 12 x 5 x 13 x 7 x 28 x 25 x 28 x 28 x 2 x 27 x 15 x 16 x 21 x 21 x 15 x 14 x 1 x 27 x 8 x 1 x 2 x 18 x 20 x 30 x 13 x 16 x 23 x 7 x 9 x 25 x 24 x 21 x 15 x 12 x 16 x 28 x 22 x 13 x 7 x 7 x 29 x 6 x 29 x 26 x 6 x 18 x 24 x 8 x 18 x 9 x 14 x 25) ^ (1/84) = 16974933167280481168673126076138855216973814693457811936367124916317506764800000000000000000 ^ 0.011904761904761904 = 12.192 Example 84: Compute the Geometric mean (GM) of 85 given numbers: 27, 11, 24, 7, 8, 1, 10, 2, 21, 5, 15, 13, 17, 1, 18, 3, 26, 1, 22, 27, 5, 24, 11, 2, 9, 20, 7, 23, 15, 8, 24, 21, 23, 13, 5, 7, 18, 12, 2, 11, 7, 9, 7, 22, 28, 6, 16, 1, 23, 20, 18, 18, 9, 22, 17, 19, 27, 12, 8, 13, 25, 17, 9, 5, 26, 17, 13, 27, 15, 9, 29, 8, 30, 20, 15, 2, 27, 8, 21, 6, 16, 19, 5, 30, 15 Geometric mean = (Product of elements) ^ (number of elements) = (27 x 11 x 24 x 7 x 8 x 1 x 10 x 2 x 21 x 5 x 15 x 13 x 17 x 1 x 18 x 3 x 26 x 1 x 22 x 27 x 5 x 24 x 11 x 2 x 9 x 20 x 7 x 23 x 15 x 8 x 24 x 21 x 23 x 13 x 5 x 7 x 18 x 12 x 2 x 11 x 7 x 9 x 7 x 22 x 28 x 6 x 16 x 1 x 23 x 20 x 18 x 18 x 9 x 22 x 17 x 19 x 27 x 12 x 8 x 13 x 25 x 17 x 9 x 5 x 26 x 17 x 13 x 27 x 15 x 9 x 29 x 8 x 30 x 20 x 15 x 2 x 27 x 8 x 21 x 6 x 16 x 19 x 5 x 30 x 15) ^ (1/85) = 139087076343896248623802291103429741067526945338393360087581913815973888000000000000000000 ^ 0.011764705882352941 = 11.188 Example 85: Compute the Geometric mean (GM) of 86 given numbers: 5, 16, 27, 9, 11, 23, 14, 4, 2, 4, 23, 2, 18, 27, 19, 19, 6, 14, 20, 29, 21, 15, 14, 15, 16, 21, 25, 5, 15, 24, 15, 28, 12, 18, 30, 2, 16, 12, 1, 21, 15, 8, 28, 13, 6, 12, 12, 29, 3, 26, 10, 19, 26, 20, 8, 23, 15, 27, 4, 6, 27, 13, 19, 17, 2, 13, 1, 4, 22, 3, 17, 4, 28, 9, 29, 20, 24, 25, 19, 23, 15, 16, 9, 16, 22, 14 Geometric mean = (Product of elements) ^ (number of elements) = (5 x 16 x 27 x 9 x 11 x 23 x 14 x 4 x 2 x 4 x 23 x 2 x 18 x 27 x 19 x 19 x 6 x 14 x 20 x 29 x 21 x 15 x 14 x 15 x 16 x 21 x 25 x 5 x 15 x 24 x 15 x 28 x 12 x 18 x 30 x 2 x 16 x 12 x 1 x 21 x 15 x 8 x 28 x 13 x 6 x 12 x 12 x 29 x 3 x 26 x 10 x 19 x 26 x 20 x 8 x 23 x 15 x 27 x 4 x 6 x 27 x 13 x 19 x 17 x 2 x 13 x 1 x 4 x 22 x 3 x 17 x 4 x 28 x 9 x 29 x 20 x 24 x 25 x 19 x 23 x 15 x 16 x 9 x 16 x 22 x 14) ^ (1/86) = 6192575880976789900156383708724702552685528797486903610182319311636842676224000000000000000000 ^ 0.011627906976744186 = 12.32 Example 86: Compute the Geometric mean (GM) of 87 given numbers: 20, 16, 28, 16, 12, 20, 13, 23, 13, 15, 17, 22, 11, 11, 20, 13, 2, 29, 13, 4, 12, 15, 12, 29, 20, 14, 5, 9, 7, 25, 20, 26, 7, 8, 5, 8, 3, 6, 11, 28, 19, 22, 20, 21, 28, 20, 6, 8, 2, 21, 5, 9, 3, 9, 20, 22, 24, 21, 6, 13, 20, 4, 25, 19, 21, 27, 20, 3, 13, 3, 23, 24, 28, 7, 13, 22, 22, 1, 25, 2, 11, 10, 14, 15, 19, 29, 29 Geometric mean = (Product of elements) ^ (number of elements) = (20 x 16 x 28 x 16 x 12 x 20 x 13 x 23 x 13 x 15 x 17 x 22 x 11 x 11 x 20 x 13 x 2 x 29 x 13 x 4 x 12 x 15 x 12 x 29 x 20 x 14 x 5 x 9 x 7 x 25 x 20 x 26 x 7 x 8 x 5 x 8 x 3 x 6 x 11 x 28 x 19 x 22 x 20 x 21 x 28 x 20 x 6 x 8 x 2 x 21 x 5 x 9 x 3 x 9 x 20 x 22 x 24 x 21 x 6 x 13 x 20 x 4 x 25 x 19 x 21 x 27 x 20 x 3 x 13 x 3 x 23 x 24 x 28 x 7 x 13 x 22 x 22 x 1 x 25 x 2 x 11 x 10 x 14 x 15 x 19 x 29 x 29) ^ (1/87) = 167532008537916506907140227297811959868398130570813278931761076730907852800000000000000000000000 ^ 0.011494252873563218 = 12.432 Example 87: Compute the Geometric mean (GM) of 88 given numbers: 13, 17, 15, 16, 25, 11, 21, 9, 28, 26, 13, 29, 12, 12, 16, 17, 11, 30, 9, 7, 4, 19, 13, 24, 15, 20, 13, 4, 18, 19, 1, 24, 14, 1, 2, 15, 18, 14, 24, 18, 8, 15, 29, 29, 21, 5, 29, 24, 3, 5, 12, 23, 25, 7, 10, 26, 26, 22, 21, 14, 11, 4, 19, 15, 8, 13, 27, 1, 20, 22, 24, 6, 14, 27, 11, 19, 21, 28, 27, 1, 18, 5, 10, 10, 22, 19, 27, 22 Geometric mean = (Product of elements) ^ (number of elements) = (13 x 17 x 15 x 16 x 25 x 11 x 21 x 9 x 28 x 26 x 13 x 29 x 12 x 12 x 16 x 17 x 11 x 30 x 9 x 7 x 4 x 19 x 13 x 24 x 15 x 20 x 13 x 4 x 18 x 19 x 1 x 24 x 14 x 1 x 2 x 15 x 18 x 14 x 24 x 18 x 8 x 15 x 29 x 29 x 21 x 5 x 29 x 24 x 3 x 5 x 12 x 23 x 25 x 7 x 10 x 26 x 26 x 22 x 21 x 14 x 11 x 4 x 19 x 15 x 8 x 13 x 27 x 1 x 20 x 22 x 24 x 6 x 14 x 27 x 11 x 19 x 21 x 28 x 27 x 1 x 18 x 5 x 10 x 10 x 22 x 19 x 27 x 22) ^ (1/88) = 124952640253901011311554839857445073246856494112348620701067950751160663715872768000000000000000000 ^ 0.011363636363636364 = 13.024 Example 88: Compute the Geometric mean (GM) of 89 given numbers: 16, 27, 9, 22, 24, 10, 5, 12, 6, 7, 21, 27, 11, 10, 15, 10, 5, 20, 27, 8, 15, 24, 28, 10, 29, 14, 17, 21, 18, 9, 5, 13, 11, 19, 18, 18, 1, 15, 1, 10, 26, 6, 28, 18, 11, 8, 6, 20, 21, 20, 17, 24, 19, 9, 30, 26, 23, 6, 17, 29, 13, 9, 16, 26, 29, 4, 15, 26, 12, 22, 24, 28, 26, 21, 18, 19, 15, 10, 3, 11, 26, 14, 28, 6, 20, 16, 7, 3, 4 Geometric mean = (Product of elements) ^ (number of elements) = (16 x 27 x 9 x 22 x 24 x 10 x 5 x 12 x 6 x 7 x 21 x 27 x 11 x 10 x 15 x 10 x 5 x 20 x 27 x 8 x 15 x 24 x 28 x 10 x 29 x 14 x 17 x 21 x 18 x 9 x 5 x 13 x 11 x 19 x 18 x 18 x 1 x 15 x 1 x 10 x 26 x 6 x 28 x 18 x 11 x 8 x 6 x 20 x 21 x 20 x 17 x 24 x 19 x 9 x 30 x 26 x 23 x 6 x 17 x 29 x 13 x 9 x 16 x 26 x 29 x 4 x 15 x 26 x 12 x 22 x 24 x 28 x 26 x 21 x 18 x 19 x 15 x 10 x 3 x 11 x 26 x 14 x 28 x 6 x 20 x 16 x 7 x 3 x 4) ^ (1/89) = 12517894108166602213860184689167280935483284788787364594727883395897319231837962240000000000000000000 ^ 0.011235955056179775 = 13.326 Example 89: Compute the Geometric mean (GM) of 90 given numbers: 1, 19, 19, 26, 12, 6, 10, 8, 8, 18, 25, 23, 12, 17, 29, 15, 3, 3, 3, 14, 9, 28, 15, 9, 5, 11, 3, 13, 24, 14, 20, 1, 23, 11, 23, 18, 28, 3, 14, 8, 16, 10, 9, 23, 20, 2, 11, 17, 28, 1, 27, 5, 25, 7, 9, 25, 28, 23, 19, 12, 29, 2, 28, 12, 25, 5, 22, 12, 24, 9, 28, 20, 28, 2, 16, 23, 11, 25, 15, 13, 6, 25, 29, 29, 4, 23, 28, 17, 20, 23 Geometric mean = (Product of elements) ^ (number of elements) = (1 x 19 x 19 x 26 x 12 x 6 x 10 x 8 x 8 x 18 x 25 x 23 x 12 x 17 x 29 x 15 x 3 x 3 x 3 x 14 x 9 x 28 x 15 x 9 x 5 x 11 x 3 x 13 x 24 x 14 x 20 x 1 x 23 x 11 x 23 x 18 x 28 x 3 x 14 x 8 x 16 x 10 x 9 x 23 x 20 x 2 x 11 x 17 x 28 x 1 x 27 x 5 x 25 x 7 x 9 x 25 x 28 x 23 x 19 x 12 x 29 x 2 x 28 x 12 x 25 x 5 x 22 x 12 x 24 x 9 x 28 x 20 x 28 x 2 x 16 x 23 x 11 x 25 x 15 x 13 x 6 x 25 x 29 x 29 x 4 x 23 x 28 x 17 x 20 x 23) ^ (1/90) = 85819238703225091708596871712734266802303368857769456823394504312610619392000000000000000000000000 ^ 0.011111111111111112 = 12.25 Example 90: Compute the Geometric mean (GM) of 91 given numbers: 1, 12, 21, 22, 21, 20, 15, 5, 15, 14, 10, 17, 28, 21, 13, 25, 18, 9, 22, 18, 10, 12, 12, 29, 5, 26, 25, 3, 30, 3, 29, 15, 11, 1, 20, 19, 5, 1, 11, 18, 30, 24, 20, 26, 2, 8, 20, 6, 27, 16, 12, 16, 28, 1, 20, 6, 30, 6, 16, 24, 4, 14, 19, 9, 19, 5, 11, 25, 18, 15, 7, 30, 26, 9, 23, 11, 25, 17, 7, 3, 30, 9, 18, 11, 27, 6, 3, 5, 5, 28, 28 Geometric mean = (Product of elements) ^ (number of elements) = (1 x 12 x 21 x 22 x 21 x 20 x 15 x 5 x 15 x 14 x 10 x 17 x 28 x 21 x 13 x 25 x 18 x 9 x 22 x 18 x 10 x 12 x 12 x 29 x 5 x 26 x 25 x 3 x 30 x 3 x 29 x 15 x 11 x 1 x 20 x 19 x 5 x 1 x 11 x 18 x 30 x 24 x 20 x 26 x 2 x 8 x 20 x 6 x 27 x 16 x 12 x 16 x 28 x 1 x 20 x 6 x 30 x 6 x 16 x 24 x 4 x 14 x 19 x 9 x 19 x 5 x 11 x 25 x 18 x 15 x 7 x 30 x 26 x 9 x 23 x 11 x 25 x 17 x 7 x 3 x 30 x 9 x 18 x 11 x 27 x 6 x 3 x 5 x 5 x 28 x 28) ^ (1/91) = 266462238779969491054272688896590809687547650500182804639333480398848000000000000000000000000000000 ^ 0.01098901098901099 = 12.067 Example 91: Compute the Geometric mean (GM) of 92 given numbers: 16, 8, 15, 13, 3, 26, 11, 14, 18, 30, 20, 21, 8, 12, 22, 30, 1, 1, 20, 29, 1, 29, 25, 17, 29, 18, 3, 30, 2, 10, 29, 17, 7, 19, 11, 2, 21, 24, 25, 26, 20, 9, 6, 22, 24, 23, 3, 2, 1, 18, 20, 2, 2, 20, 27, 30, 22, 15, 2, 16, 3, 27, 3, 16, 19, 1, 14, 30, 18, 20, 29, 3, 30, 6, 9, 14, 10, 1, 1, 3, 11, 11, 24, 8, 25, 12, 6, 14, 14, 7, 23, 24 Geometric mean = (Product of elements) ^ (number of elements) = (16 x 8 x 15 x 13 x 3 x 26 x 11 x 14 x 18 x 30 x 20 x 21 x 8 x 12 x 22 x 30 x 1 x 1 x 20 x 29 x 1 x 29 x 25 x 17 x 29 x 18 x 3 x 30 x 2 x 10 x 29 x 17 x 7 x 19 x 11 x 2 x 21 x 24 x 25 x 26 x 20 x 9 x 6 x 22 x 24 x 23 x 3 x 2 x 1 x 18 x 20 x 2 x 2 x 20 x 27 x 30 x 22 x 15 x 2 x 16 x 3 x 27 x 3 x 16 x 19 x 1 x 14 x 30 x 18 x 20 x 29 x 3 x 30 x 6 x 9 x 14 x 10 x 1 x 1 x 3 x 11 x 11 x 24 x 8 x 25 x 12 x 6 x 14 x 14 x 7 x 23 x 24) ^ (1/92) = 5551200013324074069033959056440698258826608361843389054671016892919971840000000000000000000000 ^ 0.010869565217391304 = 10.446 Example 92: Compute the Geometric mean (GM) of 93 given numbers: 21, 7, 22, 15, 5, 4, 28, 28, 17, 11, 5, 17, 19, 19, 29, 1, 19, 10, 17, 18, 5, 15, 17, 3, 4, 1, 8, 2, 17, 11, 22, 16, 9, 9, 25, 14, 5, 1, 25, 17, 21, 20, 14, 26, 3, 7, 29, 13, 16, 8, 7, 18, 17, 1, 30, 24, 19, 9, 13, 28, 18, 3, 5, 30, 29, 14, 8, 24, 13, 29, 21, 18, 14, 21, 19, 24, 11, 29, 16, 19, 13, 11, 20, 11, 15, 20, 13, 3, 8, 22, 17, 19, 20 Geometric mean = (Product of elements) ^ (number of elements) = (21 x 7 x 22 x 15 x 5 x 4 x 28 x 28 x 17 x 11 x 5 x 17 x 19 x 19 x 29 x 1 x 19 x 10 x 17 x 18 x 5 x 15 x 17 x 3 x 4 x 1 x 8 x 2 x 17 x 11 x 22 x 16 x 9 x 9 x 25 x 14 x 5 x 1 x 25 x 17 x 21 x 20 x 14 x 26 x 3 x 7 x 29 x 13 x 16 x 8 x 7 x 18 x 17 x 1 x 30 x 24 x 19 x 9 x 13 x 28 x 18 x 3 x 5 x 30 x 29 x 14 x 8 x 24 x 13 x 29 x 21 x 18 x 14 x 21 x 19 x 24 x 11 x 29 x 16 x 19 x 13 x 11 x 20 x 11 x 15 x 20 x 13 x 3 x 8 x 22 x 17 x 19 x 20) ^ (1/93) = 52012551157736350405655310728453011735666633987319611065144833445619578093950730240000000000000000000 ^ 0.010752688172043012 = 12.105 Example 93: Compute the Geometric mean (GM) of 94 given numbers: 23, 28, 20, 18, 26, 12, 24, 19, 21, 23, 9, 25, 22, 27, 8, 11, 24, 4, 20, 12, 3, 10, 16, 8, 27, 12, 3, 8, 26, 5, 9, 1, 24, 14, 13, 25, 8, 2, 14, 30, 3, 17, 22, 23, 7, 3, 27, 30, 21, 3, 14, 24, 2, 15, 25, 30, 2, 19, 20, 9, 8, 6, 28, 20, 13, 28, 11, 7, 23, 10, 14, 29, 1, 6, 21, 25, 4, 4, 27, 8, 30, 21, 1, 21, 17, 24, 16, 10, 28, 2, 15, 11, 17, 21 Geometric mean = (Product of elements) ^ (number of elements) = (23 x 28 x 20 x 18 x 26 x 12 x 24 x 19 x 21 x 23 x 9 x 25 x 22 x 27 x 8 x 11 x 24 x 4 x 20 x 12 x 3 x 10 x 16 x 8 x 27 x 12 x 3 x 8 x 26 x 5 x 9 x 1 x 24 x 14 x 13 x 25 x 8 x 2 x 14 x 30 x 3 x 17 x 22 x 23 x 7 x 3 x 27 x 30 x 21 x 3 x 14 x 24 x 2 x 15 x 25 x 30 x 2 x 19 x 20 x 9 x 8 x 6 x 28 x 20 x 13 x 28 x 11 x 7 x 23 x 10 x 14 x 29 x 1 x 6 x 21 x 25 x 4 x 4 x 27 x 8 x 30 x 21 x 1 x 21 x 17 x 24 x 16 x 10 x 28 x 2 x 15 x 11 x 17 x 21) ^ (1/94) = 345332502556318564206018903221441088781714282478810024984951425483747861651783680000000000000000000000 ^ 0.010638297872340425 = 12.028 Example 94: Compute the Geometric mean (GM) of 95 given numbers: 5, 15, 22, 27, 26, 9, 27, 8, 18, 27, 23, 30, 30, 23, 18, 5, 7, 5, 26, 24, 25, 24, 12, 26, 6, 22, 29, 30, 19, 15, 7, 7, 25, 22, 11, 30, 28, 7, 23, 9, 7, 28, 22, 23, 10, 6, 25, 25, 1, 28, 5, 16, 27, 7, 26, 14, 15, 9, 13, 5, 2, 22, 29, 18, 27, 28, 6, 10, 19, 10, 26, 19, 24, 23, 29, 16, 10, 29, 18, 1, 1, 11, 26, 15, 4, 16, 13, 15, 5, 25, 1, 26, 5, 17, 27 Geometric mean = (Product of elements) ^ (number of elements) = (5 x 15 x 22 x 27 x 26 x 9 x 27 x 8 x 18 x 27 x 23 x 30 x 30 x 23 x 18 x 5 x 7 x 5 x 26 x 24 x 25 x 24 x 12 x 26 x 6 x 22 x 29 x 30 x 19 x 15 x 7 x 7 x 25 x 22 x 11 x 30 x 28 x 7 x 23 x 9 x 7 x 28 x 22 x 23 x 10 x 6 x 25 x 25 x 1 x 28 x 5 x 16 x 27 x 7 x 26 x 14 x 15 x 9 x 13 x 5 x 2 x 22 x 29 x 18 x 27 x 28 x 6 x 10 x 19 x 10 x 26 x 19 x 24 x 23 x 29 x 16 x 10 x 29 x 18 x 1 x 1 x 11 x 26 x 15 x 4 x 16 x 13 x 15 x 5 x 25 x 1 x 26 x 5 x 17 x 27) ^ (1/95) = 594467857728972580483549918337324415101124543473713740454338988786401870348288000000000000000000000000000000 ^ 0.010526315789473684 = 13.629 Example 95: Compute the Geometric mean (GM) of 96 given numbers: 9, 1, 29, 6, 6, 21, 7, 21, 10, 23, 6, 12, 29, 25, 8, 25, 17, 5, 23, 8, 23, 5, 10, 14, 24, 27, 13, 9, 9, 25, 11, 18, 11, 6, 29, 20, 6, 29, 15, 25, 20, 17, 25, 4, 25, 15, 26, 7, 16, 23, 6, 6, 23, 11, 16, 21, 7, 13, 12, 1, 3, 26, 3, 14, 14, 9, 12, 26, 3, 13, 15, 23, 6, 20, 25, 25, 4, 3, 29, 23, 25, 16, 23, 9, 6, 13, 7, 2, 1, 8, 15, 29, 9, 1, 19, 26 Geometric mean = (Product of elements) ^ (number of elements) = (9 x 1 x 29 x 6 x 6 x 21 x 7 x 21 x 10 x 23 x 6 x 12 x 29 x 25 x 8 x 25 x 17 x 5 x 23 x 8 x 23 x 5 x 10 x 14 x 24 x 27 x 13 x 9 x 9 x 25 x 11 x 18 x 11 x 6 x 29 x 20 x 6 x 29 x 15 x 25 x 20 x 17 x 25 x 4 x 25 x 15 x 26 x 7 x 16 x 23 x 6 x 6 x 23 x 11 x 16 x 21 x 7 x 13 x 12 x 1 x 3 x 26 x 3 x 14 x 14 x 9 x 12 x 26 x 3 x 13 x 15 x 23 x 6 x 20 x 25 x 25 x 4 x 3 x 29 x 23 x 25 x 16 x 23 x 9 x 6 x 13 x 7 x 2 x 1 x 8 x 15 x 29 x 9 x 1 x 19 x 26) ^ (1/96) = 614424751360223323349079368296855009035540840042867467751214559285320089600000000000000000000000000000 ^ 0.010416666666666666 = 11.489 Example 96: Compute the Geometric mean (GM) of 97 given numbers: 1, 25, 12, 28, 2, 18, 5, 22, 10, 8, 16, 27, 24, 10, 3, 13, 17, 16, 1, 29, 17, 8, 7, 25, 10, 8, 5, 10, 4, 24, 1, 3, 26, 19, 9, 5, 1, 4, 13, 14, 21, 9, 18, 11, 28, 8, 3, 16, 20, 24, 4, 11, 27, 18, 3, 30, 13, 16, 4, 26, 14, 4, 26, 20, 20, 2, 17, 15, 14, 24, 27, 22, 29, 11, 30, 19, 20, 12, 3, 29, 15, 1, 3, 7, 29, 10, 12, 4, 28, 7, 29, 28, 24, 1, 10, 12, 15 Geometric mean = (Product of elements) ^ (number of elements) = (1 x 25 x 12 x 28 x 2 x 18 x 5 x 22 x 10 x 8 x 16 x 27 x 24 x 10 x 3 x 13 x 17 x 16 x 1 x 29 x 17 x 8 x 7 x 25 x 10 x 8 x 5 x 10 x 4 x 24 x 1 x 3 x 26 x 19 x 9 x 5 x 1 x 4 x 13 x 14 x 21 x 9 x 18 x 11 x 28 x 8 x 3 x 16 x 20 x 24 x 4 x 11 x 27 x 18 x 3 x 30 x 13 x 16 x 4 x 26 x 14 x 4 x 26 x 20 x 20 x 2 x 17 x 15 x 14 x 24 x 27 x 22 x 29 x 11 x 30 x 19 x 20 x 12 x 3 x 29 x 15 x 1 x 3 x 7 x 29 x 10 x 12 x 4 x 28 x 7 x 29 x 28 x 24 x 1 x 10 x 12 x 15) ^ (1/97) = 2054640223014377251787734228536197352349958641301875103171384873875045047336960000000000000000000000 ^ 0.010309278350515464 = 10.564 Example 97: Compute the Geometric mean (GM) of 98 given numbers: 2, 7, 13, 24, 13, 5, 5, 13, 28, 2, 22, 19, 26, 23, 4, 10, 25, 3, 2, 23, 26, 12, 26, 16, 26, 30, 7, 25, 14, 4, 2, 27, 25, 3, 7, 17, 24, 7, 22, 8, 6, 18, 26, 17, 5, 23, 10, 15, 11, 28, 14, 25, 8, 7, 5, 23, 24, 18, 19, 16, 3, 22, 27, 22, 15, 1, 18, 14, 13, 29, 12, 8, 16, 23, 7, 18, 22, 23, 7, 22, 20, 18, 9, 9, 24, 13, 7, 27, 1, 7, 8, 5, 18, 30, 16, 18, 9, 19 Geometric mean = (Product of elements) ^ (number of elements) = (2 x 7 x 13 x 24 x 13 x 5 x 5 x 13 x 28 x 2 x 22 x 19 x 26 x 23 x 4 x 10 x 25 x 3 x 2 x 23 x 26 x 12 x 26 x 16 x 26 x 30 x 7 x 25 x 14 x 4 x 2 x 27 x 25 x 3 x 7 x 17 x 24 x 7 x 22 x 8 x 6 x 18 x 26 x 17 x 5 x 23 x 10 x 15 x 11 x 28 x 14 x 25 x 8 x 7 x 5 x 23 x 24 x 18 x 19 x 16 x 3 x 22 x 27 x 22 x 15 x 1 x 18 x 14 x 13 x 29 x 12 x 8 x 16 x 23 x 7 x 18 x 22 x 23 x 7 x 22 x 20 x 18 x 9 x 9 x 24 x 13 x 7 x 27 x 1 x 7 x 8 x 5 x 18 x 30 x 16 x 18 x 9 x 19) ^ (1/98) = 9388845974215117478202602929131578723758793410978288898732114504153581739749412123443200000000000000000000 ^ 0.01020408163265306 = 12.06 Example 98: Compute the Geometric mean (GM) of 99 given numbers: 26, 21, 21, 23, 23, 19, 26, 16, 17, 6, 25, 17, 11, 1, 23, 12, 24, 13, 2, 18, 30, 11, 3, 7, 24, 4, 24, 10, 17, 16, 3, 6, 22, 10, 19, 13, 7, 21, 29, 13, 6, 6, 11, 14, 30, 8, 3, 1, 4, 15, 11, 29, 18, 6, 19, 7, 2, 11, 13, 19, 17, 16, 30, 26, 18, 19, 3, 22, 22, 18, 1, 11, 30, 30, 14, 6, 7, 18, 12, 5, 6, 20, 4, 6, 15, 20, 14, 27, 1, 10, 9, 21, 25, 20, 12, 8, 2, 26, 14 Geometric mean = (Product of elements) ^ (number of elements) = (26 x 21 x 21 x 23 x 23 x 19 x 26 x 16 x 17 x 6 x 25 x 17 x 11 x 1 x 23 x 12 x 24 x 13 x 2 x 18 x 30 x 11 x 3 x 7 x 24 x 4 x 24 x 10 x 17 x 16 x 3 x 6 x 22 x 10 x 19 x 13 x 7 x 21 x 29 x 13 x 6 x 6 x 11 x 14 x 30 x 8 x 3 x 1 x 4 x 15 x 11 x 29 x 18 x 6 x 19 x 7 x 2 x 11 x 13 x 19 x 17 x 16 x 30 x 26 x 18 x 19 x 3 x 22 x 22 x 18 x 1 x 11 x 30 x 30 x 14 x 6 x 7 x 18 x 12 x 5 x 6 x 20 x 4 x 6 x 15 x 20 x 14 x 27 x 1 x 10 x 9 x 21 x 25 x 20 x 12 x 8 x 2 x 26 x 14) ^ (1/99) = 255855995332000474088305504731723689153085908093765298737799352060249953377419769413632000000000000000000 ^ 0.010101010101010102 = 11.34 Example 99: Compute the Geometric mean (GM) of 100 given numbers: 6, 11, 28, 27, 7, 11, 1, 14, 16, 12, 27, 12, 24, 15, 29, 24, 9, 17, 27, 8, 4, 22, 30, 22, 24, 16, 1, 30, 8, 19, 29, 6, 21, 20, 1, 13, 28, 5, 28, 19, 1, 9, 1, 7, 3, 30, 10, 24, 15, 28, 24, 30, 21, 30, 19, 15, 4, 19, 27, 6, 3, 4, 1, 27, 28, 2, 13, 15, 1, 16, 18, 13, 11, 19, 8, 4, 7, 27, 28, 19, 23, 27, 4, 23, 11, 2, 29, 18, 29, 21, 23, 4, 27, 9, 1, 1, 5, 23, 3, 14 Geometric mean = (Product of elements) ^ (number of elements) = (6 x 11 x 28 x 27 x 7 x 11 x 1 x 14 x 16 x 12 x 27 x 12 x 24 x 15 x 29 x 24 x 9 x 17 x 27 x 8 x 4 x 22 x 30 x 22 x 24 x 16 x 1 x 30 x 8 x 19 x 29 x 6 x 21 x 20 x 1 x 13 x 28 x 5 x 28 x 19 x 1 x 9 x 1 x 7 x 3 x 30 x 10 x 24 x 15 x 28 x 24 x 30 x 21 x 30 x 19 x 15 x 4 x 19 x 27 x 6 x 3 x 4 x 1 x 27 x 28 x 2 x 13 x 15 x 1 x 16 x 18 x 13 x 11 x 19 x 8 x 4 x 7 x 27 x 28 x 19 x 23 x 27 x 4 x 23 x 11 x 2 x 29 x 18 x 29 x 21 x 23 x 4 x 27 x 9 x 1 x 1 x 5 x 23 x 3 x 14) ^ (1/100) = 69708592800241731212970688040292626073862596816397448153251774501644232189026893457921146880000000000000 ^ 0.01 = 10.925 Example 100: Compute the Geometric mean (GM) of 101 given numbers: 2, 27, 25, 30, 28, 21, 16, 26, 21, 2, 2, 9, 27, 27, 17, 2, 1, 8, 28, 5, 22, 26, 20, 28, 8, 7, 3, 21, 17, 16, 16, 7, 30, 7, 28, 15, 23, 19, 15, 29, 30, 27, 29, 15, 23, 16, 2, 14, 1, 13, 23, 19, 5, 1, 2, 25, 18, 30, 26, 28, 30, 28, 6, 24, 7, 18, 29, 28, 6, 21, 9, 27, 1, 30, 20, 23, 12, 30, 14, 21, 6, 29, 1, 13, 25, 8, 26, 13, 14, 6, 24, 29, 8, 9, 19, 16, 7, 13, 16, 29, 11 Geometric mean = (Product of elements) ^ (number of elements) = (2 x 27 x 25 x 30 x 28 x 21 x 16 x 26 x 21 x 2 x 2 x 9 x 27 x 27 x 17 x 2 x 1 x 8 x 28 x 5 x 22 x 26 x 20 x 28 x 8 x 7 x 3 x 21 x 17 x 16 x 16 x 7 x 30 x 7 x 28 x 15 x 23 x 19 x 15 x 29 x 30 x 27 x 29 x 15 x 23 x 16 x 2 x 14 x 1 x 13 x 23 x 19 x 5 x 1 x 2 x 25 x 18 x 30 x 26 x 28 x 30 x 28 x 6 x 24 x 7 x 18 x 29 x 28 x 6 x 21 x 9 x 27 x 1 x 30 x 20 x 23 x 12 x 30 x 14 x 21 x 6 x 29 x 1 x 13 x 25 x 8 x 26 x 13 x 14 x 6 x 24 x 29 x 8 x 9 x 19 x 16 x 7 x 13 x 16 x 29 x 11) ^ (1/101) = 12236040153737859263923019531353262630265913153098321193452740189695083894911994562906108723200000000000000000000 ^ 0.009900990099009901 = 12.876 |
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