Question

question #13 the box - plot shows the scores of 10 students in 4 different subjects. which statement is true? a the interquartile range of scores of students in science and english is the same. b the interquartile range of the scores of students in social science and math is the same. c the interquartile range of the scores of students in social science is greater than that in science. d the interquartile range of scores of students in science is greater than that in math.

Explanation:

Step1: Recall inter - quartile range (IQR) concept

The IQR is the difference between the third quartile ($Q_3$) and the first quartile ($Q_1$), i.e., $IQR = Q_3 - Q_1$. In a box - plot, the length of the box represents the IQR.

Step2: Analyze box - plots for different subjects

By observing the box - plots of scores in different subjects, we measure the length of the boxes for each subject.

Step3: Compare IQRs

We compare the lengths of the boxes for Science, Social Science, Math, and English. After visual inspection, we find that the length of the box (IQR) for Social Science is greater than that for Science.

Answer:

B. The interquartile range of the scores of students in Social Science is greater than that in Science.