Chapter 13.2, Problem 21HP

To determine

To explain:The given data a stem-and-leaf plotof speeds.

Answer to Problem 21HP

The frequency of speed in the range 140-150 mph and 150-160 mph is same and higher than other ranges.

The frequency of speed in the range 160-170 mph and 170-180mph is same and lower than other ranges.

Explanation of Solution

Given:

This is the given information:

Arrange the dataset in ascending order as follows.

133, 134, 135, 137, 138, 142, 143, 143, 148, 148, 149, 151, 153, 154, 154, 155, 156, 156, 156, 157, 160, 162, 162, 166, 170, 172, 173, 176

1. Arrange the dataset in ascending order as follows.

133, 134, 135, 137, 138, 142, 143, 143, 148, 148, 149, 151, 153, 154, 154, 155, 156, 156, 156, 157, 160, 162, 162, 166, 170, 172, 173, 176

2. Write the all possible greatest place value in stem column. Therefore, stem column is as follows.

stem	Leaf
13
14
15
16
17

3. Now write the ones digits to the right of the corresponding stems that is in the leaf column.

Thus the stem−leaf plot as follows.

Stem	Leaf
13	3,4,5,7,8
14	2,3,2,8,8,8,8,9
15	1,3,4,4,5,6,6,7
16	0,2,2,6
17	0,2,3,6

4. Include the title. Also write key that explains how to read the stems and leaves of stem-leaf plot.

Daytona 500 winning speeds

Stem	Leaf
13	3,4,5,7,8
14	2,3,2,8,8,8,8,9
15	1,3,4,4,5,6,6,7
16	0,2,2,6
17	0,2,3,6

13|3=133 mph

5. From the stem-and- leaf plot of Daytona 500 wining speeds , the frequency of speed in the range 140-150 mph and 150-160 mph is same and higher than other ranges.

6. From the stem-and-leaf plot of Daytona 500 winning speeds , that the frequency of speed in the range 160-170 mph and 170-180mph is same and lower than other ranges.