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

Answer:

The standard deviation is 11 points

Step-by-step explanation:

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

$z=\frac{x-m}{s}$

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:

$s=\frac{x-m}{z}$

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

$s=\frac{175-153}{2}=11$

Therefore, the standard deviation is 11 points