Question

question #6 mr. greens and mrs. violets classes recorded the number of books each student read during the past year and put their results into the two box - and - whisker plots shown. books read by mr. greens class books read by mrs. violets class what is the approximate difference between the interquartile ranges of the data? a 1 book b 3 books c 7 books d 14 books

Explanation:

Step1: Recall IQR formula

The inter - quartile range (IQR) is \(Q3 - Q1\), where \(Q1\) is the first quartile and \(Q3\) is the third quartile.

Step2: Find IQR for Mrs. Violet's class

For Mrs. Violet's class, from the box - and - whisker plot, \(Q1 = 4\) and \(Q3=8\), so \(IQR_{Violet}=8 - 4=4\).

Step3: Find IQR for Mr. Green's class

For Mr. Green's class, from the box - and - whisker plot, \(Q1 = 2\) and \(Q3 = 9\), so \(IQR_{Green}=9 - 2 = 7\).

Step4: Calculate the difference

The difference between the IQRs is \(|IQR_{Green}-IQR_{Violet}|=|7 - 4| = 3\).

Answer:

3