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AP® Statistics

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Comparing z-Scores: Danielle's Tests Scores

APSTAT-BXGVKZ

Danielle had an AP Statistics test and AP US History test on the same day. On the AP Statistics test, the average score was an $81$, with a standard deviation of $4$. On the AP U.S. History Test, the average score was $73$, with a standard deviation of $8$. Danielle scored a $77$ on the AP Statistics test and $67$ on the AP U.S. History test. Assume the scores of each test were approximately normally distributed.

On which test did Danielle score relatively better, compared with the rest of the class?

A

She scored better on the AP Statistics test relative to the rest of the class.

B

She scored better on the AP U.S. History test relative to the rest of the class.

C

She scored equally well on both tests.

D

It is impossible to tell because we do not have all the individual scores from each test.

E

It is impossible to tell because we do not know the shape of the distribution.