Question

the mean of 10 scores is 6. if these scores are the logorithms to the base 2 of the original 10 score, what is the original geometric mean of the original scores?

Answer 1

Let the original scores be given as x_i for i = 1, 2, 3, .... , 10

Therefore, we are given here that:

Using the property that: Log a + Log b = Log ab, we get here:

The original geometric mean of the original 10 scores here is computed as:

Therefore 64 is the required geometric mean value here.