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AP® Statistics

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Moderate

Long Jump

APSTAT-4JY6KE

Data from the last $10$ years shows that the average high school male has a personal best high jump of $18.9$ feet with a standard deviation of $1.9$ feet. The average high school female has a personal best high jump of $16.5$ feet with a standard deviation of $2.2$ feet. Both distributions are approximately normally distributed.

To earn All-Conference recognition, a jumper typically has to be $2$ standard deviations above the mean for their respective gender.

In a survey of $1,000$ female high jumpers, about how many girls would you expect to jump so well that they earn All-Conference recognition from not only the girls standard but also the boys standard?

A

Near $0$.

B

About $1$.

C

About $2$.

D

About $10$.

E

About $24$.