?

AP® Statistics

Free Version

Upgrade subject to access all content

Difficult

Chebyshev's Rule: University Applicants

APSTAT-AGFGYK

State University applicants are required to take an admission test for entrance into the university. In a given year, $850$ applicants took the test. The test results gave a mean score of $68$ with a standard deviation of $4$ points. Suppose we do not know whether the scores are approximately normally distributed.

What can be said about the number of scores that are less than $60$?

A

No more than $2$ of the scores are less than $60$.

B

At least $20$ of the scores are less than $60$.

C

Of the scores, $.0228$ are less than $60$.

D

At least $637$ of the scores are less than $60$.

E

Most likely, somewhere around than $213$ of the scores are under $60$.