Make Stem-and-Leaf Plots
Name
16.3
?
Data Analysis— 5.9.A MATHEMATICAL PROCESSES 5.1.D, 5.1.E, 5.1.G
Make Stem-and-Leaf Plots
Essential Question
How can you display data on a stem-and-leaf plot?
A stem-and-leaf plot shows groups of data arranged by place value.
Unlock Unlock the the Problem Problem Jeremy plays miniature golf every chance he gets. He keeps a record of his scores.
Miniature Golf Scores
Make a stem-and-leaf plot of the data. STEP 1 Write a title for the stem-and-leaf plot. STEP 2 Use the tens digits for the stems. Write the tens digits in order from least to greatest. STEP 3 Use the ones digits for the leaves. Write the ones digits for each stem in order from least to greatest.
78
67
81
72
62
60
76
65
67
97
80
53
69
82
67
Stem
Leaves
5 6
3 0
7
2
2
STEP 4 Make a key.
5|3 represents
.
• Describe how the number 80 is shown on the stem-and-leaf plot.
© Houghton Mifflin Harcourt Publishing Company
• Explain how the number that occurs most often in Jeremy’s record is shown on the stem-and-leaf plot. What is the number?
Module 16
583
Try This! Make a stem-and-leaf plot with hundreds data. A group of students do push-ups every morning before school. The number of push-ups they did for the past 12 mornings are 123, 141, 126, 120, 135, 136, 147, 129, 120, 130, 148, and 147. Make a stem-and-leaf plot of the data.
Stem 12
• Write a title.
Leaves 0
• Use the hundreds and tens digits to write the stems in order
from least to greatest. • Use the ones digits to write the leaves for each stem in order
12|0 represents
.
from least to greatest. • Explain how making a stem-and-leaf plot with hundreds data is similar
to making a stem-and-leaf plot with tens data. Explain how it is different.
Share Share and and Show Show Ben keeps a record of the heights of his favorite basketball players. Use the data for 1–2. 1. What digits would you use for the stems in a
Heights of Basketball Players (in.)
stem-and-leaf plot of the data?
How many leaves would a stem-and-leaf plot of
82
72
80
78
81
76
69
76
79
70
79
82
74
82
84
79
the data have? _ 2. Make a stem-and-leaf plot of the data.
Leaves
Math Talk Mathematical Processes
Explain how to show a number that is a multiple of 10 on a stem-and-leaf plot.
6|9 represents
584
.
© Houghton Mifflin Harcourt Publishing Company
Stem
Name
Problem Problem Solving Solving 3.
Representations Marco made a stem-and-leaf plot titled Game Scores. Each stem has at least 1 leaf. Ten numbers on the stem-and-leaf plot are less than 18 and 8 numbers are 18 or more. The number 10 occurs most often. Draw Marco’s stem-and-leaf plot.
Game Scores Leaves
Stem 0 1 2 3
4. Communicate How is a number less than 10 shown
represents
|
on a stem-and-leaf plot?
.
Problem Problem Solving Solving Students were asked how many minutes it took them to get to school. Their responses in minutes were 25, 15, 29, 12, 30, 7, 26, 15, 23, 15, 21, 5, 27, 34, and 32. Use the data for 5–6.
Stem
Leaves
5. Representations Make a stem-and-leaf plot of the data. 6. Multi-Step If 5 and 7 minutes are changed to 45 and
47 minutes, how will the stem-and-leaf plot change? |
A salesperson earns a different amount of money each day. The amounts she earns in dollars are 325, 326, 311, 329, 325, 310, 301, 319, 329, 311, 304, 322, 311, 301, and 328. Use the data for 7–8.
Stem
represents
.
Leaves
7. Explain how to determine what digits to use for stems in
a stem-and-leaf plot of the data.
© Houghton Mifflin Harcourt Publishing Company
|
8.
represents
.
Multi-Step Make a stem-and-leaf plot of the data.
Module 16 • Lesson 3
585
Mathematical Processes M Model ¥ Reason ¥ Communicate M
Daily Daily Assessment Assessment Task Task Fill in the bubble completely to show your answer. 9. Mark visits several bakeries. At each bakery, he asks how
many cranberries they use to make a dozen cranberry muffins. Mark wants to use a stem-and-leaf plot to show the data. What are the leaves for the stem of 7?
A
0, 0, 1, 3, 5
B
0, 1, 3, 5
C
0, 1, 3
D
0, 0, 1, 3
Number of Cranberries in a Dozen Muffins 52
58
71
70
68
66
54
57
61
73
70
62
55
80
Use the table for 10 and 11. 10. Pam is making a stem-and-leaf plot to show the peach
festival data. What is the fewest number of stems that she needs?
A
3
C
4
B
2
D
5
Ages of People at Peach Festival 9
18
20
35
1
14
22
6
16
8
10
26
33
2
18
5
11. Multi-Step How many more leaves will be on the stem of
1 than the stem of 3?
A
2
C
4
B
1
D
3
TEXAS Test Prep 12. Mavis has 19 crossword puzzle books. The number of puzzles in each
586
A
stem 3
B
stem 1
C
stem 2
D
stem 4
© Houghton Mifflin Harcourt Publishing Company
book is 42, 17, 20, 25, 43, 36, 42, 30, 29, 19, 22, 28, 47, 35, 42, 18, 20, 45, and 31. She makes a stem-and-leaf plot of the data. Which stem will have 4 leaves?
H o mewo rk and Practice
16.3
Data Analysis—5.9.A MATHEMATICAL PROCESSES 5.1.D, 5.1.E, 5.1.G
Name
Make Stem-and-Leaf Plots
The number of points scored by the members of a basketball team are recorded. Use the data for 1–2.
Points Scored
1. What digits would you use for the stems in a
12
24
28
26
32
8
15
16
20
34
26
34
stem-and-leaf plot of the data? How many leaves would a stem-and-leaf plot
Stem
Leaves
of the data have? 2. Make a stem-and-leaf plot of the data. 3. Explain the difference between stems and leaves on a
stem-and-leaf plot.
0|8 represents
.
Problem Problem Solving Solving Bird watchers were asked how many different species of birds they identified on a recent trip. Their responses were 15, 20, 30, 32, 21, 33, 18, 19, 29, 27, 29, 25, 21, and 26. Use the data for 4–5.
Stem
Leaves
4. Make a stem-and-leaf plot of the data.
© Houghton Mifflin Harcourt Publishing Company
5. If two more bird watchers identify 9 species and
41 species, how will the stem-and-leaf plot change?
1|5 represents
.
Module 16 • Lesson 3 587
TEXAS Test Prep
Lesson Lesson Check Check Fill in the bubble completely to show your answer. 6. Maxwell has 14 books in the same mystery
7. Zara counts the number of raisins in
series. The number of pages in each book are 112, 108, 95, 88, 96, 105, 115, 114, 85, 87, 90, 96, 116, and 98. Maxwell makes a stem-and-leaf plot of the data. Which stem has the most leaves?
several boxes of raisins. She wants to make a stem-and-leaf plot to show the data.
Number of Raisins in a Box 72
80
88
95
98
75
90
86
91
95
74
88
A
9
B
11
What are the leaves for the stem 9?
C
10
A
0, 1, 5, 8
C
1, 5, 8
D
8
B
0, 1, 5, 5, 8
D
1, 5, 5, 8
Lincoln Heights Elementary held a student council election. The data show the number of votes each candidate received. Wesley makes a stem-and-leaf plot of the data. Use the table for 8–11.
Number of Votes 41
30
47
44
50
43
32
52
60
64
45
53
44
34
35
Wesley needs?
stem-and-leaf plot is true?
A
15
A
There will be more stems than leaves.
B
5
B
The stem 6 will have only 1 leaf.
C
4
C
There will be 15 leaves.
D
3
D
The number that occurs most often is 4.
10. Multi-Step How many more leaves will be
588
9. Which statement about the
11. Multi-Step How many stems will have
on the stem of 4 than the stem of 3?
more than 3 leaves?
A
1
A
2
B
6
B
1
C
4
C
3
D
2
D
4
© Houghton Mifflin Harcourt Publishing Company
8. What is the number of stems that
16.3
?
Data Analysis— 5.9.A MATHEMATICAL PROCESSES 5.1.D, 5.1.E, 5.1.G
Make Stem-and-Leaf Plots
Essential Question
How can you display data on a stem-and-leaf plot?
A stem-and-leaf plot shows groups of data arranged by place value.
Unlock Unlock the the Problem Problem Jeremy plays miniature golf every chance he gets. He keeps a record of his scores.
Miniature Golf Scores
Make a stem-and-leaf plot of the data. STEP 1 Write a title for the stem-and-leaf plot. STEP 2 Use the tens digits for the stems. Write the tens digits in order from least to greatest. STEP 3 Use the ones digits for the leaves. Write the ones digits for each stem in order from least to greatest.
78
67
81
72
62
60
76
65
67
97
80
53
69
82
67
Stem
Leaves
5 6
3 0
7
2
2
STEP 4 Make a key.
5|3 represents
.
• Describe how the number 80 is shown on the stem-and-leaf plot.
© Houghton Mifflin Harcourt Publishing Company
• Explain how the number that occurs most often in Jeremy’s record is shown on the stem-and-leaf plot. What is the number?
Module 16
583
Try This! Make a stem-and-leaf plot with hundreds data. A group of students do push-ups every morning before school. The number of push-ups they did for the past 12 mornings are 123, 141, 126, 120, 135, 136, 147, 129, 120, 130, 148, and 147. Make a stem-and-leaf plot of the data.
Stem 12
• Write a title.
Leaves 0
• Use the hundreds and tens digits to write the stems in order
from least to greatest. • Use the ones digits to write the leaves for each stem in order
12|0 represents
.
from least to greatest. • Explain how making a stem-and-leaf plot with hundreds data is similar
to making a stem-and-leaf plot with tens data. Explain how it is different.
Share Share and and Show Show Ben keeps a record of the heights of his favorite basketball players. Use the data for 1–2. 1. What digits would you use for the stems in a
Heights of Basketball Players (in.)
stem-and-leaf plot of the data?
How many leaves would a stem-and-leaf plot of
82
72
80
78
81
76
69
76
79
70
79
82
74
82
84
79
the data have? _ 2. Make a stem-and-leaf plot of the data.
Leaves
Math Talk Mathematical Processes
Explain how to show a number that is a multiple of 10 on a stem-and-leaf plot.
6|9 represents
584
.
© Houghton Mifflin Harcourt Publishing Company
Stem
Name
Problem Problem Solving Solving 3.
Representations Marco made a stem-and-leaf plot titled Game Scores. Each stem has at least 1 leaf. Ten numbers on the stem-and-leaf plot are less than 18 and 8 numbers are 18 or more. The number 10 occurs most often. Draw Marco’s stem-and-leaf plot.
Game Scores Leaves
Stem 0 1 2 3
4. Communicate How is a number less than 10 shown
represents
|
on a stem-and-leaf plot?
.
Problem Problem Solving Solving Students were asked how many minutes it took them to get to school. Their responses in minutes were 25, 15, 29, 12, 30, 7, 26, 15, 23, 15, 21, 5, 27, 34, and 32. Use the data for 5–6.
Stem
Leaves
5. Representations Make a stem-and-leaf plot of the data. 6. Multi-Step If 5 and 7 minutes are changed to 45 and
47 minutes, how will the stem-and-leaf plot change? |
A salesperson earns a different amount of money each day. The amounts she earns in dollars are 325, 326, 311, 329, 325, 310, 301, 319, 329, 311, 304, 322, 311, 301, and 328. Use the data for 7–8.
Stem
represents
.
Leaves
7. Explain how to determine what digits to use for stems in
a stem-and-leaf plot of the data.
© Houghton Mifflin Harcourt Publishing Company
|
8.
represents
.
Multi-Step Make a stem-and-leaf plot of the data.
Module 16 • Lesson 3
585
Mathematical Processes M Model ¥ Reason ¥ Communicate M
Daily Daily Assessment Assessment Task Task Fill in the bubble completely to show your answer. 9. Mark visits several bakeries. At each bakery, he asks how
many cranberries they use to make a dozen cranberry muffins. Mark wants to use a stem-and-leaf plot to show the data. What are the leaves for the stem of 7?
A
0, 0, 1, 3, 5
B
0, 1, 3, 5
C
0, 1, 3
D
0, 0, 1, 3
Number of Cranberries in a Dozen Muffins 52
58
71
70
68
66
54
57
61
73
70
62
55
80
Use the table for 10 and 11. 10. Pam is making a stem-and-leaf plot to show the peach
festival data. What is the fewest number of stems that she needs?
A
3
C
4
B
2
D
5
Ages of People at Peach Festival 9
18
20
35
1
14
22
6
16
8
10
26
33
2
18
5
11. Multi-Step How many more leaves will be on the stem of
1 than the stem of 3?
A
2
C
4
B
1
D
3
TEXAS Test Prep 12. Mavis has 19 crossword puzzle books. The number of puzzles in each
586
A
stem 3
B
stem 1
C
stem 2
D
stem 4
© Houghton Mifflin Harcourt Publishing Company
book is 42, 17, 20, 25, 43, 36, 42, 30, 29, 19, 22, 28, 47, 35, 42, 18, 20, 45, and 31. She makes a stem-and-leaf plot of the data. Which stem will have 4 leaves?
H o mewo rk and Practice
16.3
Data Analysis—5.9.A MATHEMATICAL PROCESSES 5.1.D, 5.1.E, 5.1.G
Name
Make Stem-and-Leaf Plots
The number of points scored by the members of a basketball team are recorded. Use the data for 1–2.
Points Scored
1. What digits would you use for the stems in a
12
24
28
26
32
8
15
16
20
34
26
34
stem-and-leaf plot of the data? How many leaves would a stem-and-leaf plot
Stem
Leaves
of the data have? 2. Make a stem-and-leaf plot of the data. 3. Explain the difference between stems and leaves on a
stem-and-leaf plot.
0|8 represents
.
Problem Problem Solving Solving Bird watchers were asked how many different species of birds they identified on a recent trip. Their responses were 15, 20, 30, 32, 21, 33, 18, 19, 29, 27, 29, 25, 21, and 26. Use the data for 4–5.
Stem
Leaves
4. Make a stem-and-leaf plot of the data.
© Houghton Mifflin Harcourt Publishing Company
5. If two more bird watchers identify 9 species and
41 species, how will the stem-and-leaf plot change?
1|5 represents
.
Module 16 • Lesson 3 587
TEXAS Test Prep
Lesson Lesson Check Check Fill in the bubble completely to show your answer. 6. Maxwell has 14 books in the same mystery
7. Zara counts the number of raisins in
series. The number of pages in each book are 112, 108, 95, 88, 96, 105, 115, 114, 85, 87, 90, 96, 116, and 98. Maxwell makes a stem-and-leaf plot of the data. Which stem has the most leaves?
several boxes of raisins. She wants to make a stem-and-leaf plot to show the data.
Number of Raisins in a Box 72
80
88
95
98
75
90
86
91
95
74
88
A
9
B
11
What are the leaves for the stem 9?
C
10
A
0, 1, 5, 8
C
1, 5, 8
D
8
B
0, 1, 5, 5, 8
D
1, 5, 5, 8
Lincoln Heights Elementary held a student council election. The data show the number of votes each candidate received. Wesley makes a stem-and-leaf plot of the data. Use the table for 8–11.
Number of Votes 41
30
47
44
50
43
32
52
60
64
45
53
44
34
35
Wesley needs?
stem-and-leaf plot is true?
A
15
A
There will be more stems than leaves.
B
5
B
The stem 6 will have only 1 leaf.
C
4
C
There will be 15 leaves.
D
3
D
The number that occurs most often is 4.
10. Multi-Step How many more leaves will be
588
9. Which statement about the
11. Multi-Step How many stems will have
on the stem of 4 than the stem of 3?
more than 3 leaves?
A
1
A
2
B
6
B
1
C
4
C
3
D
2
D
4
© Houghton Mifflin Harcourt Publishing Company
8. What is the number of stems that
