Question

Four randomly chosen Nevada students were asked how many times they drove to Arizona last year. Their replies were 4,5,6,7. The geometric mean is

Group of answer choices

5.31

5.38

4.98

3.95

Answer 1

The geometric mean of the numbers is 5.38

Given the values a, b, c and d

The geometric mean of the values will be expressed as:

$GM = (abcd)^{1/4}$

Given the values 4, 5, 6, and 7, the geometric mean will be expressed as:

$GM = (4\times5\times6\times7)^{1/4}$

$GM = (840)^{1/4}\\GM=\sqrt[4]{840} \\GM = 5.38$

Hence the geometric mean of the numbers is 5.38.

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