find the geometric mean of 2,8,32,36,6
You asked:
Find the geometric mean of the following data: \(2, 8, 32, 36, 6\)
MathBot Answer:
The geometric mean is a value indicating the typical value of the elements in a given data set. It is computed by taking the product of all numbers in a set and taking the nth root where n is the number of values in the set. \[\overline{x}_{geo}=\sqrt[n]{\prod_{i=1}^{n}x_{i}}\] where \(x_i\) represents the individual values and \(n\) represents the number of values in the data set.
The geometric mean of \(2, 8, 32, 36, 6\) is \(10.2033960050063\).