SOLUTION: for the given data 2,3,7,0,-8 Find Geometric Mean by formula given below G = antilog[sum of log x/n]

Algebra ->  Probability-and-statistics -> SOLUTION: for the given data 2,3,7,0,-8 Find Geometric Mean by formula given below G = antilog[sum of log x/n]      Log On


   



Question 1149971: for the given data 2,3,7,0,-8
Find Geometric Mean by formula given below
G = antilog[sum of log x/n]

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

x1 = 2
x2 = 3
x3 = 7
x4 = 0
x5 = -8

log(x1) = log(2) = 0.30102999566399
log(x2) = log(3) = 0.47712125471967
log(x3) = log(7) = 0.84509804001426
log(x4) = log(0) = undefined, this is where the formula falls apart
note: the domain of log(x) is x > 0

A much better approach is to multiply the values out:
x1*x2*x3*x4*x5 = 2*3*7*0*(-8) = 0
Then raise that result to the (1/5) power
0^(1/5) = 0

Answer: 0