Chapter 2.2, Problem 2.31E

(a)

To determine

To Calculate: the five number summaries on basis of the box plot.

Explanation of Solution

Given:

Showing the difference (texts-calls) in the number of text messages and calls sent and received

  

By seeing the box plot minimum value is about -5 which are the left most of the whiskers and maximum value is about 43 which is the right most value of the whiskers. The 1^st quartile is about 0 which is left most side of the box and 3^rd quartile is about 22 which is the right most side of the box. Median or 2^nd quartile is about 3 which are at the line within the box.

(b)

To determine

To Explain: the value of ${\text{Q}}_1,{\text{M and Q}}_3$

Explanation of Solution

By seeing the box plot it is observed that 25% utilize more calls than texts where further 25% utilize between 0 and 3 text more than calls and another 3 and 22 texts utilized which is also 25% more than calls and 25% utilize more than 22 texts more than calls and 50% utilize between 0 and 22 texts more than calls.