Chapter 2: Q 33. (page 108)

Jorge’s score on Exam $1$ in his statistics class was at the $64 t h$ percentile of the scores for all students. His score falls
a. between the minimum and the first quartile.
b. between the first quartile and the median.
c. between the median and the third quartile.
d. between the third quartile and the maximum.
e. at the mean score for all students.

Short Answer

Expert verified

The correct option is (c) between the median and the third quartile.

Step by step solution

Given information

Jorge's exam $1$ result in statistics class was in the $64 t h$ percentile of all students' scores.

Concept

The percentile of an individual is the percentage of the distribution that is less than the data value of the individual.

Explanation

The $1 s t$ Quartile refers to anything that is less than $25 %$ of the data, while the $25 t h$ Percentile denotes that $25 %$ of the data is less than a given percentage figure, which is known as the $25 t h$ percentile. Similarly, the $50 t h$ percentile or median indicates that $50 %$ of the data falls below a certain value, and the percentage value is known as the $50 t h$ percentile or median; similarly, the $75 t h$ percentile indicates that $75 %$ of the data falls below a certain value, and the percentage value is known as the $75 t h$ percentile or $3 r d$ Quartile.

It means that the $64 t h$ percentile is the value that falls between the $50 t h$ and $75 t h$ percentiles, or between the median and the $3 r d$ Quartile.

So the correct choice is (c)