Question

Jorge’s score on Exam $1$in his statistics class was at the 64th 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

The correct option is (c).

Step-by-step solution

Step 1. Given

J’s score on Exam $1$in his statistics class was at the${64}^{th}$ percentile of the scores for all students.

Step 2. Concept

The $p^{th}$ percentile of a distribution is the value with $p\%$ of the observations less than it.

Step 3. Explanation

The ${25}^{th}$ percentile is represented by the first quartile, the median by the ${50}^{th}$ percentile, and the ${75}^{th}$ percentile by the third quartile. J's score was in the ${64}^{th}$ percentile. Between the median (${50}^{th}$ percentile) and the third quartile is this (${75}^{th}$ percentile). Therefore, Option (c) is the best answer.