Chapter 11.2, Problem 4E

a.

To determine

To make: a box-and-whisker plot for each archer of provided data

Day	1	2	3	4	5	6
Archer 1	3	5	8	4	9	1
Archer 2	4	7	6	5	8	6

Answer to Problem 4E

The median of provided data for archer

  $1$ is $4.5$ and for archer

  $2$ is $6$

Explanation of Solution

Given information: Consider, the data provided in the question for archer

  $\left\{1,3,4,5,8,9\right\}$ &

  $\left\{4,5,6,6,7,8\right\}$

Calculation: To make a box-and-whisker plot

For archer 1 arrange data in sequence

  $\left\{1,3,4,5,8,9\right\}$

Median $=4.5$

Upper quartile $=8.5$

Lower quartile $=2$

  

For archer 2 arrange data in sequence

  $\left\{4,5,6,6,7,8\right\}$

Median $=6$

Upper quartile $=7.5$

Lower quartile $=4.5$

  

b.

To determine

To calculate: the range and interquartile range

Answer to Problem 4E

The range is and the interquartile range is

Explanation of Solution

Given information: Consider the data provided in the question

Calculation: To find the range and interquartile range

For archer 1

Range $=9-1=8$

Interquartile range $=8.5-2=6.5$

For archer 2

Range $=8-4=4$

Interquartile range $=7.5-4.5=3$

c.

To determine

To calculate: the range of archer who score less

Answer to Problem 4E

The archer 2 has less score range

Explanation of Solution

Given information: Consider, the data provided in the question

Calculation: To determine the range of less score archer

So,

For archer 1

Range $=9-1=8$

For archer 2

Range $=8-4=4$

Hence,

Archer 2 score less range