Question

The following data set represents the salaries of all seven employees at a small start-up company (expressed in thousands of dollars). 23, 25, 40, 45, 45, 23, 23 If the variance of the data set is 99.14, what is the standard deviation?

Answer 1

9.96

Explanation:

If the data set represents the salaries of all seven employees at a small start-up company (expressed in thousands of dollars). 23, 25, 40, 45, 45, 23, 23 in thousands dollars with variance of 99.14, to get the standard deviation, the formula below will be applicable.

Variance = (standard deviation)²

substituting Variance = 99.14 into the equation we wil have;

99.14 = (standard deviation)²

taking the square root of both sides;

√99.14 = √(standard deviation)²

standard deviation = √99.14

standard deviation = 9.96

The standard deviation of the set of datas is 9.96