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AP® Statistics

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Data Analysis: Exam Grades

APSTAT-F6FGJO

Suppose the grades on a statistics exam range from $65$ to $95$. The professor states that approximately 68% of the class got between a $75$ and $85$, and $95\%$ of the class got between a $70$ and $90$.

What type of distribution is this? What is the mean, and what is the standard deviation?

A

Normal distribution; $\mu = 80; \sigma= 5$

B

Uniform distribution; $\mu = 80; \sigma = 30$

C

Binomial distribution; $\mu = 80; \sigma = 5$

D

Normal distribution; $\mu = 80; \sigma= 10$

E

Binomial distribution; $\mu = 80; \sigma = 30$