Chapter B.2, Problem 34E

a.

To determine

To find : The lower and upper quartiles of the data.

Answer to Problem 34E

The lower quartile is $11$ and the upper quartile is $17$ .

Explanation of Solution

Given: The given data is $11,10,11,14,17,16,14,11,8,14,20$ .

Calculation:

The given data is $11,10,11,14,17,16,14,11,8,14,20$ .

Data in asecending order

  $8,10,11,11,11,14,14,14,16,17,20$

This set has $11$ member .

The median of entire set is $14$ .

The median of the five number that are before $14$ is $11$ . So the lower quartile is $11$ .

The median of the three number that are after $14$ is $17$ . So the upper quartile is $17$ .

b.

To determine

To sketch:A box and whisker plot for the data without using graphing utility.

Answer to Problem 34E

Box and whisker plot is :

  

Explanation of Solution

Given: The given data is $11,10,11,14,17,16,14,11,8,14,20$ .

Calculation:

The given data is $11,10,11,14,17,16,14,11,8,14,20$ .

Data in asecending order

  $8,10,11,11,11,14,14,14,16,17,20$

This set has $11$ member .

The median of entire set is $14$ .

The median of the five number that are before $14$ is $11$ . So the lower quartile is $11$ .

The median of the three number that are after $14$ is $17$ . So the upper quartile is $17$ .

Box and whisker plot is :