Question

If the variance of the ages of the people who attended a rock concert is 38, what is the standard deviation of the ages? Round your answer to two decimal places

Answer 1

`\sigma=6.16`

Explanation:

By definition, the variance V of a population is defined as:

`V = \sigma^2`

Where
`\sigma` is the standard deviation

We know that
`V = 38`, then we can solve the equation for the standard deviation
`\sigma`

`38 = \sigma^2`

`\sigma^2=38`

`\sigma=√(38)`

`\sigma=6.16`

Finally the standard deviation is:
`\sigma=6.16`