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:
[tex]z=\frac{x-m}{s}[/tex]
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:
[tex]s=\frac{x-m}{z}[/tex]
So, replacing z by 2, m by 153 and x by 175, we get:
[tex]s=\frac{175-153}{2}=11[/tex]
Therefore, the standard deviation is 11 points
