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11-1
Line Plots and Stem-and-Leaf Plots
Preview
Warm Up
California Standards
Lesson Presentation
Holt CA Course 1
11-1
Line Plots and Stem-and-Leaf Plots
Warm Up
Jason deposits $200 in an account that earns
3.6% simple interest. How long until the total
Amount is $300?
Almost 14 years
Holt CA Course 1
11-1
Line Plots and Stem-and-Leaf Plots
California
Standards
SDAP1.1 Know various forms of display
for data sets, including a stem-and-leaf plot
or box-and-whisker plot; use the forms to
display a single set of data or to compare
two sets of data.
Holt CA Course 1
11-1
Line Plots and Stem-and-Leaf Plots
Vocabulary
line plot
stem-and-leaf plot
back-to-back stem-and-leaf plot
Holt CA Course 1
11-1
Line Plots and Stem-and-Leaf Plots
Additional Example 1: Organizing Data in Line
Plots
Use a line plot to organize the math exam scores.
Student Test Scores
100
95
75
80
60
100
60
75
90
85
80
100
50
90
65
80
Step 1: Find the least and greatest values in the
data set. Then draw a number line that includes
these values.
least value: 50
Holt CA Course 1
greatest value: 100
11-1
Line Plots and Stem-and-Leaf Plots
Additional Example 1 Continued
Student Test Scores
100
95
75
80
60
100
60
75
90
85
80
100
50
90
65
80
Step 2: Place an x above the number on the
number line that corresponds to each student’s test
score.
x
50
55
x
x
x
60
65
Holt CA Course 1
70
x
x
x
x
x
75
80
x
x
x
x
x
x
x
85
90
95
100
There are 16
numbers in the
data set and 16
x’s above the
number line.
11-1
Line Plots and Stem-and-Leaf Plots
Check It Out! Example 1
Use a line plot to organize the feet of snow
each season.
Feet of Snow
4
11
7
5
1
9
5
10
7
4
3
9
11
10
7
6
5
9
10
11
Step 1: Find the least and greatest values in the
data set. Then draw a number line from 1 to 11.
least value: 1
Holt CA Course 1
greatest value: 11
11-1
Line Plots and Stem-and-Leaf Plots
Check It Out! Example 1 Continued
Use a line plot to organize the feet of snow
each season.
Feet of Snow
4
11
7
5
1
9
5
9
7
4
3
9
11
10
7
6
5
9
10
11
x
1
2
Step 2: Place an x above the
number on the number line
that corresponds to the
number of feet of snow that
fell.
x
x
x
x
x
x
x
x
x
x
3
4
5
6
7
Holt CA Course 1
8
x
x
x
x
x
x
x
x
x
9
10
11
There are 20
numbers in the
data set and 20
x’s above the
number line.
11-1
Line Plots and Stem-and-Leaf Plots
A stem-and-leaf plot uses the digits of each number
in a data set to group the individual numbers. Each
leaf on the plot represents the right-hand digit in a
data value, and each stem represents left-hand digits.
The key shows the values of the data on the plot.
Stems
2
3
Leaves
4 7 9
0 6
Key: 2|7 means 27
Holt CA Course 1
11-1
Line Plots and Stem-and-Leaf Plots
Additional Example 2: Organizing and Interpreting
Data in a Stem-and-Leaf Plot
The data shows the number of years coached by the top
15 coaches in the all-time NFL coaching victories. Make
a stem-and-leaf plot of the data. Then find the number
of coaches who coached fewer than 25 years.
33, 40, 29, 33, 23, 22, 20, 21, 18, 23, 17, 15, 15, 12, 17
Step 1: Order the data from least to greatest. Since
the data values range from 12 to 40, use tens digits
for the stems and ones digits for the leaves.
Holt CA Course 1
11-1
Line Plots and Stem-and-Leaf Plots
Additional Example 2 Continued
The data shows the number of years coached by the top
15 coaches in the all-time NFL coaching victories. Make
a stem-and-leaf plot of the data. Then find the number
of coaches who coached fewer than 25 years.
33, 40, 29, 33, 23, 22, 20, 21, 18, 23, 17, 15, 15, 12, 17
Step 2: List the stems from least to greatest on the plot.
The stems
are the tens
digits.
Holt CA Course 1
Stems
1
2
3
4
Leaves
11-1
Line Plots and Stem-and-Leaf Plots
Additional Example 2 Continued
The data shows the number of years coached by the top
15 coaches in the all-time NFL coaching victories. Make
a stem-and-leaf plot of the data. Then find the number
of coaches who coached fewer than 25 years.
33, 40, 29, 33, 23, 22, 20, 21, 18, 23, 17, 15, 15, 12, 17
Step 3: List the leaves for each stem from least to greatest.
The stems
are the tens
digits.
Holt CA Course 1
Stems
1
2
3
4
Leaves
2 5 5 7 7 8
0 1 23 3 9
3 3
0
The leaves
are the
ones digits.
11-1
Line Plots and Stem-and-Leaf Plots
Additional Example 2 Continued
Step 4: Add a key and a title.
Number of Years Coached
The stems
are the tens
Stems Leaves
digits.
Key: 2 | 1 means 21.
1
2
3
4
2 5 5 7 7 8
0 1 23 3 9
3 3
0
11 coaches coached fewer than 25 years.
Holt CA Course 1
The leaves
are the
ones digits.
11-1
Line Plots and Stem-and-Leaf Plots
Check It Out! Example 2
The list shows the number of times each soccer player
can bounce the ball on their knee. How many soccer
players can bounce the ball more than 36 times.
55, 60, 33, 30, 23, 45, 28, 41, 62, 29, 35, 40, 43, 37, 68,
30, 61, 27, 38, 41
Step 1: Order the data from least to greatest. Since the
data values range from 23 to 68, use tens digits
for the stems and ones digits for the leaves.
Holt CA Course 1
11-1
Line Plots and Stem-and-Leaf Plots
Check It Out! Example 2 Continued
The list shows the number of times each soccer player
can bounce the ball on their knee. How many soccer
players can bounce the ball more than 36 times.
55, 60, 33, 30, 23, 45, 28, 41, 62, 29, 35, 40, 43, 37, 68,
30, 61, 27, 38, 41
Step 2: List the stems from least to greatest on the plot.
The stems
are the
tens digits.
Holt CA Course 1
Stems
2
3
4
5
6
Leaves
11-1
Line Plots and Stem-and-Leaf Plots
Check It Out! Example 2 Continued
The list shows the number of times each soccer player
can bounce the ball on their knee. How many soccer
players can bounce the ball more than 36 times.
55, 60, 33, 30, 23, 45, 28, 41, 62, 29, 35, 40, 43, 37, 68,
30, 61, 27, 38, 41
Step 3: List the leaves for each stem from least to greatest.
The stems
are the
tens digits.
Holt CA Course 1
Stems
2
3
4
5
6
Leaves
3 7 8 9
0 0 3 5 7 8
0 1 1 3 5
5
0 1 2 8
The leaves
are the
ones digits.
11-1
Line Plots and Stem-and-Leaf Plots
Check It Out! Example 2 Continued
Step 4: Add a key and a title.
Number of Bounces
Stems
2
The stems
are the tens
3
digits.
4
5
6
Key: 4 | 0 means 40.
Leaves
3 7 8 9
0 0 3 5 7 8
0 1 1 3 5
5
0 1 2 8
The leaves
are the ones
digits.
12 soccer players can bounce the ball on their knee
more than 36 times.
Holt CA Course 1
11-1
Line Plots and Stem-and-Leaf Plots
A back-to-back stem-and-leaf plot can be
used to compare two sets of data. The stems
are in the center, and the leaves for one set of
data are to the right of the stems. The leaves
for the other set of data are to the left of the
stems.
Holt CA Course 1
11-1
Line Plots and Stem-and-Leaf Plots
Additional Example 3: Organizing Data in Back-toBack Stem-and-Leaf Plots
Use the given data to make a back-to-back
stem-and-leaf plot.
1950
48
5
1
3
Holt CA Course 1
2000
1 0599
2 9
3
4
Key: | 2 | 9 means 29
8 | 1 | means 18
11-1
Line Plots and Stem-and-Leaf Plots
Check It Out! Example 3
Use the given data to make a back-to-back
stem-and-leaf plot.
Voting Statistics
Voted
Did Not
Vote
Millions
Millions
18 to 24 years
8
18
25 to 34 years
16
21
35 to 44 years
24
20
8 4 1 0 2 6 6
45 to 54 years
23
14
1 0 2 3 4
55 to 64 years
16
8
65 to 74 years
12
5
75 years up
10
5
Age
Holt CA Course 1
Did Not Vote
Voted
8 5 5 0 8
Key: | 0 | 8 means 8
4 | 1 | means 14
11-1
Line Plots and Stem-and-Leaf Plots
Lesson Quiz: Part I
The data shows the ages of some hospital nurses.
33, 35, 23, 39, 23, 24, 34, 21, 57, 45, 57, 60, 45,
24, 31, 42, 61, 45, 35, 38
1. Make a line plot of the data. What age occurs most
often? 45
x
x
x
21
23 24
Holt CA Course 1
x
x
x
x
x
x
x
31
33
34
35
x
x
x
x
x
x
38
39
42
45 57
x
x
x
x
60 61
11-1
Line Plots and Stem-and-Leaf Plots
Lesson Quiz: Part II
The data shows the ages of some hospital nurses.
33, 35, 23, 39, 23, 24, 34, 21, 57, 45, 57, 60, 45,
24, 31, 42, 61, 45, 35, 38
2. Make a stem-and-leaf plot of the data. How many
nurses are over the age of 45? 4
Key: 4 | 2 means 42.
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Nurses’ Ages
Stems Leaves
2
1 3 3 4 4
3
1 3 4 5 5 8 9
4
2 5 5 5
5
7 7
6
0 1