Geometric Mean Calculations

Question

Given 6 values - 3,4,5,6,7 and 8 calculate the geometric mean (xg)

power method

Xg=[3*4*5*6*7*8]

xg={20,160]1/6=5.00

Xg= 5 (rounded for reporting)

log 10 method

log(xg)=[log(3)+log(4)+log(5)+log(6)+log(7)+log(8)]

log(xg)=4.304/6=07171

Xg=10[0.717]=5.22

Xg=5 (rounded for reporting)

Answer 1

The geometric mean of n numbers is obtained by taking the n^th root of the product. In this case:

⁶√(3×4×5×6×7×8) = ⁶√20160 ≅ 5.217...