Question

the following data represent net yards gained per game by american football running backs who played during a given week of the season. construct a stem - and - leaf display for the given data in the accompanying table. treat the ones digit as the leaves. for any single - digit data, use a stem of 0.
click the
data table
full data set
27 14 34 76 32 84 66 39 56 70
14 34 44 29 57 5 35 49 28 35
67 42 35 56 45 28 111 60 86 65
51 24 17 25 40 5 49 15 32 41

Explanation:

Step1: Sort the data

First, sort the data set in ascending order: \(5,5,14,14,15,17,24,25,27,28,29,32,32,34,34,35,35,35,39,40,41,42,44,45,49,49,51,56,56,57,60,65,66,67,70,76,84,86,111\)

Step2: Construct the stem - and - leaf plot

The stems are the tens digits (for single - digit numbers, the stem is \(0\)).

• Stem \(0\): Leaves are \(5,5\)
• Stem \(1\): Leaves are \(4,4,5,7\)
• Stem \(2\): Leaves are \(4,5,7,8,9\)
• Stem \(3\): Leaves are \(2,2,4,4,5,5,5,9\)
• Stem \(4\): Leaves are \(0,1,2,4,5,9,9\)
• Stem \(5\): Leaves are \(1,6,6,7\)
• Stem \(6\): Leaves are \(0,5,6,7\)
• Stem \(7\): Leaves are \(0,6\)
• Stem \(8\): Leaves are \(4,6\)
• Stem \(11\): Leaves are \(1\)

Answer:

Stem	Leaf
1	4 4 5 7
2	4 5 7 8 9
3	2 2 4 4 5 5 5 9
4	0 1 2 4 5 9 9
5	1 6 6 7
6	0 5 6 7
7	0 6
8	4 6
11	1