Chapter 14.1, Problem 13E

a.

To determine

To make a back-to-back bar graph for the given data.

Explanation of Solution

Given:

The table which gives the greatest numbers of stolen bases for a single player

  

Calculation:

Let the central axis be labeled by year. Draw a horizontal axis that is scaled 0 to 100 in each direction. Let the left side of the graph represent the National league and the right side of the graph represents American League

Draw the bars to the appropriate length for the data.

The back-to-back bar graph for the above data is

  

b.

To determine

To combine the data from both leagues to construct a frequency distribution.

Answer to Problem 13E

  $40-45,45-50,50-55,55-60,60-65,65-70$ .

Explanation of Solution

Given:

The table gives the greatest numbers of stolen bases for a single player.

Calculation:

Since the data ranges from $39$ to $78$ , the appropriate class interval be $10$ , starting with $30$ points and ending with $80$ points, hence the classes are

  $30-40,40-50,50-60,60-70,70-80$

Make a table listing class limits; Use the tallies to determine the number of scores in each interval

  

c.

To determine

To draw the histogram of data and frequency polygon.

Explanation of Solution

Given:

The table gives the greatest numbers of stolen bases for a single player.

Calculation:

Label the horizontal axis with the class limits. The vertical axis should be labeled from 0 to a value that will allow for the bars side by side so that the height of the bar corresponds to its interval’s frequency

The histogram of the above data is as below and then joining the class marks of each class to get the frequency polygon as below

  

d.

To determine

To find the number of players made $70$ or more stolen bases to reach the record.

Answer to Problem 13E

  $7$ .

Explanation of Solution

Given:

The table gives the greatest numbers of stolen bases for a single player.

Calculation:

By studying the frequency distribution table we conclude that $7$ players made $70$ or more stolen bases to reach the record.

e.

To determine

To find the number of players that made less than $50$ stolen bases to reach the record.

Answer to Problem 13E

  $2$ .

Explanation of Solution

Given:

The table gives the greatest numbers of stolen bases for a single player.

Calculation:

Only $2$ players made less than $50$ stolen bases to reach the record.