Question

Renee scores an average of 153 points in a game of bowling, and her points in a game of bowling are normally distributed. Suppose Renee scores 175 points in a game, and this value has a z-score of 2. What is the standard deviation

Answer 1

The standard deviation is 11 points

Explanation:

To calculated the z-score of a value x, we use the following equation:

`z=(x-m)/(s)`

Where m is the mean, s is the standard deviation and z is the z-score.

If we solve this equation for s, we get:

`s=(x-m)/(z)`

So, replacing z by 2, m by 153 and x by 175, we get:

`s=(175-153)/(2)=11`

Therefore, the standard deviation is 11 points