Question

Many professional schools require applicants to take a standardized test. Suppose that 1000 students take such a test. Several weeks after the test, Pete receives his score report: he got a $63$, which placed him at the $73rd$ percentile. This means that

a. Pete’s score was below the median.

b. Pete did worse than about $63\%$ of the test takers.

c. Pete did worse than about $73\%$ of the test takers.

d. Pete did better than about $63\%$ of the test takers.

e. Pete did better than about $73\%$ of the test takers.

Short answer

The correct option is (e) Pete did better than about $73\%$ of the test takers.

Step-by-step solution

Given information

A test like this is given to $1000$ students. Pete receives his score report many weeks after the test: he received a $63$, putting him in the $73rd$ percentile.

Explanation

The $73rd$percentile is a data point where $73$percent of all data is less than or equal to it. It also signifies that $27\%$of the data is more than or equal to the data point, implying that the researcher's score was lower than $73\%$of all test scores, implying that the researcher's score was higher than $73\%$of all test takers. Hence, the correct option is (e)