Chapter 13.4, Problem 13HP

To determine

To create: two data sets that contain from 10 to 20 values . And to write a few sentences that analyze the data.

Explanation of Solution

Given information:

Given box plot,

  

Calculation:

From information given, the five number summary for dataset A and B are as follows:

  $\begin{array}{l}\text{A:}\left\{21,26,28,30,31\right\}\\ B:\left\{18,22,26,31,31\right\}\end{array}$

Therefore, one of the possible data set to abide by the information is as follows:

  $\begin{array}{l}\text{A:}\left\{21,26,28,29,30,31,21,26,28,29,30,30,30,31\right\}\\ B:\left\{18,22,26,31,33,18,22,22,23,26,26,26,26,26,31,33\right\}\end{array}$

The following points lists how data in set A compare to that of data set in B in terms of box and whiskers.

• Set $B$ has lowest value (18) compared to the lowest value (21) of set $B$ . On the other hand, highest value of set $B$(33)

Is higher than the highest value (31) of data set $A$ . This implies overall range of data values in set $B$ is higher than set $A$ .

• The range of values from upper quartile to maximum for data set $A$ is higher compared to range of values from upper quartile to maximum for data set $B$ .
• One fourth of the time values of data set $B$ are greater than 31. The values for data set $A$ is almost always less than 31.