Question

A random sample of 10 subjects have weights with a standard deviation of 11.0482 kg. What is the variance of their​ weights? Be sure to include the appropriate units with the result.

Answer 1

122.0627kg

Explanation:

The standard deviation is the square root of the variance.

That means:

`\sigma = √(variance)`

From the question, the standard deviation of the weights of the 10 random subjects is 11.0482kg

We substitute to get:

`11.0482 = √(variance)`

We square both sides to get:

`11.0482^(2) = variance`

`122.0627 = variance`

Therefore the variance is 122.0627kg