Question

A random sample of 10 subjects have weights with a standard deviation of 10.3695 kg. What is the variance of their​ weights? Be sure to include the appropriate units with the result.

Answer 1

Since we are given the standard deviation of the sample, we can use the formula:

variance = standard deviation^2

Substituting the given value:

variance = 10.3695^2 kg^2

Calculating:

variance ≈ 107.495 kg^2

Therefore, the variance of the weights of the 10 subjects is approximately 107.495 kg^2.