Question

when professor winchester grades class tests, he gives an a to the fourth (top) quartile, a b to the third quartile, a c to the second quartile, and a d to the first quartile. the box - plot shows the distribution of scores on a test. what is the range of scores for the students who received as? 4 8 14 28 student scores 72 76 80 84 88 92 96 100

Explanation:

Step1: Identify quartile for A - grade

The fourth (top) quartile represents A - grades. In a box - plot, the upper quartile (Q3) marks the start of the fourth quartile and the maximum value is the end of it. Here, Q3 is 92 and the maximum value is 100.

Step2: Calculate the range

The range is calculated as the difference between the maximum and minimum values in the set. For A - grades, the range $R=100 - 92$.
$R = 8$

Answer:

8