Make Dot Plots
Name
16.1
?
Make Dot Plots
Essential Question
Data Analysis— 5.9.A MATHEMATICAL PROCESSES 5.1.A, 5.1.D, 5.1.E
How can you display data on a dot plot?
A dot plot is a graph that shows frequency of data along a number line.
Unlock Unlock the the Problem Problem Mia recorded the weight of each bag of apples people picked at an apple orchard.
Weights of Bags of Apples (lb) 21_ 2
3
21_ 2
3
11_ 2
1
21_ 2
3
1
21_ 2
Make a dot plot of the data. STEP 1 List the data in order from least to greatest.
STEP 2 Draw a number line that includes all the numbers on your list. STEP 3 Mark a dot above each number as many times at it occurs on your list. The number 1 occurs 2 times, so mark 2 dots above 1.
0
1 2
1
11 2
2
© Houghton Mifflin Harcourt Publishing Company
Weights of Bags of Apples (lb)
Math Talk Mathematical Processes
Describe what you observe about the data more easily in the dot plot than in Mia’s record.
Module 16
571
Try This! Make a dot plot using decimal data. Mike is practicing for a swim meet. His practice times in seconds are 62.5, 63.0, 62.75, 63.0, 63.0, 62.5, 62.5, 62.75, 63.0, 62.0, 62.75, 62.5, 63.0, and 62.5. Make a dot plot of the data. • List the data in order from least to greatest.
62.0 • Draw a number line that includes all the numbers on your list.
62.5
63.0
Mike’s Practice Times (sec)
• Plot the data. • Explain how you can determine if the dot plot correctly shows
the data.
Share Share and and Show Show Ana measures the heights of sunflowers in her garden. Use the data for 1–2. 1. Write the data in order from least to greatest.
What number will the number line in a dot plot of the data begin with? _
Heights of Sunflowers (ft) 5
3
5
3
2
6
3
2
6
3
2
6
5
3
2
5
What number will it end with? _ How many dots will be on the dot plot? _
Math Talk 2
6
Heights of Sunflowers (ft)
572
Mathematical Processes
Explain why there is not a dot above every number on your dot plot.
© Houghton Mifflin Harcourt Publishing Company
2. Complete the dot plot of the data.
Name
Problem Problem Solving Solving Lily is making a beaded necklace. She makes a list of beads she needs and the mass of each bead. Use the list for 3–4. 3. Explain how to determine what numbers to put on the number
line for a dot plot of the data.
Mass of Beads (g) 2g _ 5
1g _ 5
3g _ 5
3g _
2_ g 5
2g _ 5
4g _ 5
3g _
4_ g 5
1_ g 5
1_ g 5
2g _
5 5 5
4. Multi-Step Make a dot plot of the data.
Mass of Beads (g)
Problem Problem Solving Solving Jeanette kept a record of the distances she jumped practicing the long jump. p. She made a dot plot of the data. Use the record and the dot plot for 5–6. 5.
Multi-Step Jeanette made more than one error on the dot plot. Describe and correct the errors.
Long Jump (m)
© Houghton Mifflin Harcourt Publishing Company
6.
6.5
7.0
6.5
7.0
6.25
6.5
6.0
6.25
6.25
6.0
6.5
6.25
6.25
6.5
6.25
7.0
6.0
6.25
Reasoning If Jeanette jumped each distance shown on the number line an equal number of times, what would the dot plot look like? 6.5
6.75
Long Jump (m)
Module 16 • Lesson 1
573
Mathematical Processes M Model ¥ Reason ¥ Communicate M
Daily Daily Assessment Assessment Task Task The table shows the speeds of ants that competed in a go-cart race. Use the data for 7–9. Fill in the bubble completely to show your answer.
Speeds (Miles per Hour) 6.8
7.1
6.9
6.8
7.1
7.1
6.6
6.8
7.0
6.6
6.8
6.8
7. You are making a dot plot to show the data. Which numbers will you put
on the number line for the dot plot?
A
6.5, 6.6, 6.7, 6.9, 7.0, 7.1
B
6.7, 6.8, 6.9, 7.0, 7.1, 7.2
C
6.6, 6.7, 6.8, 6.9, 7.0, 7.1
D
6.5, 6.6, 6.7, 6.8, 6.9, 7.0
8. How many dots will you mark above 7.1?
A
4
C
3
B
2
D
1
9. Multi-Step The go-cart race officials realize that 3 ants in the race
should be disqualified. What happens to the dot plot if 3 of the ants with a time of 6.8 miles per hour are removed?
A
The tallest stack of dots will be above 7.1.
B
The tallest stack of dots will be above 6.6.
C
The number of speeds plotted on the dot plot will change to 15.
D
The dot plot remains the same.
TEXAS Test Prep in cups is 5_8 , 3_8 , 3_8 , 7_8 , 7_8 , 5_8 , 3_8 , 3_8 , 7_8 , 7_8 , 5_8 , and 5_8 . Sandy makes a dot plot of the data. Which numbers will she put on the number line?
574
A
3, 4__, __ 5, __6 __ 8 8 8 8
C
4, __ 5, 6__, __7 __ 8 8 8 8
B
3, 4__, __ 6, __7 __ 8 8 8 8
D
3, __ 4, 5__, __6, 7__ __ 8 8 8 8 8
© Houghton Mifflin Harcourt Publishing Company
10. Sandy has 12 recipes for trail mix. The amount of peanuts in each recipe
H o mewo rk and Practice
16.1
Data Analysis—5.9.A MATHEMATICAL PROCESSES 5.1.A, 5.1.D, 5.1.E
Name
Make Dot Plots
Mrs. O’Malley makes a list to show the miles each dance student travels to the practice center. Use the list for 1–2. 1. What is the least distance traveled? What is the
greatest distance traveled?
Distance (miles) 1
2
3
21_ 2 21_ 2
1_1 2
11_ 2
2
3
21_ 2 21_ 2 1_1 2
2. Make a dot plot of the data.
1 21
1
2 21
2
3
Distance (miles)
Problem Problem Solving Solving Colton has a list of the length of each song in his favorites playlist. He makes a dot plot of the data. Use the list and the dot plot for 3–4.
Length of Songs (minutes) 4.0
2.5
2.5
3.0
3. Colton counts the number of dots in his dot plot and the
4.0
3.5
3.0
2.5
data in his list and finds that the numbers are not equal. Explain Colton’s error and how he can fix it.
3.0
3.5
4.0
3.5
3.5
3.0
3.5
4.0
2.5
3.0
3.5
4.0
Length of Songs (minutes)
© Houghton Mifflin Harcourt Publishing Company
4. Colton deletes one song with a length of 3.5 minutes from
his playlist and adds one song with a length of 4.0 minutes. How will the dot plot of the data change?
Module 16 • Lesson 1 575
TEXAS Test Prep
Lesson Lesson Check Check Fill in the bubble completely to show your answer.
6. A geologist measures the mass of some rocks
nearest 1_2 inch are: 56 1_2 , 57, 56 1_2 , 58, 58, 57 1_2 , 57 1_2 , 57, 58 1_2 , and 57. Leila makes a dot plot of the data. How many different heights will be included on the number line?
A
10
C
3
B
5
D
9
to the nearest tenth of a gram and makes a dot plot of the data. The masses are: 5.3, 5.5, 5.6, 5.4, 5.4, 5.3, 5.8, 5.7, 5.8, 5.5, 5.5, and 5.3 grams. She lists two numbers on the number line. How many more numbers will she put on the number line?
A
2
C
4
B
3
D
5
A paleontologist measures the lengths of several fossils. The table shows the lengths to the nearest tenth of a centimeter. Use the data for 7–10.
7. Which numbers will you put on the number
7.9
7.8
8.1
8.2
7.8
7.8
7.9
8.1
7.8
7.9
7.9
8.1
7.9
7.8
7.9
8. Which number will not have any dots
line for the dot plot?
marked above?
A
7.8, 7.9, 8.0, 8.1, 8.2
A
7.8
B
7.9, 7.8, 8.1, 8.2, 7.8
B
8.0
C
7.9, 8.1, 8.2, 8.3, 8.4
C
8.1
D
7.8, 7.9, 8.1, 8.2, 8.3
D
8.2
9. Multi-Step What is the difference between
the total number of dots and the number of dots above the number with the most dots?
576
Lengths (cm)
10. Multi-Step The paleontologist measures
A
10
B
9
the fossils again and finds two errors. Two fossils with a length of 7.9 centimeters instead measure 8.1 and 8.2 centimeters. Which two numbers will have the same number of dots?
C
8
A
7.8 and 7.9
D
14
B
8.0 and 8.2
C
7.8 and 8.1
D
7.9 and 8.1
© Houghton Mifflin Harcourt Publishing Company
5. The heights of the girls in Leila’s class to the
16.1
?
Make Dot Plots
Essential Question
Data Analysis— 5.9.A MATHEMATICAL PROCESSES 5.1.A, 5.1.D, 5.1.E
How can you display data on a dot plot?
A dot plot is a graph that shows frequency of data along a number line.
Unlock Unlock the the Problem Problem Mia recorded the weight of each bag of apples people picked at an apple orchard.
Weights of Bags of Apples (lb) 21_ 2
3
21_ 2
3
11_ 2
1
21_ 2
3
1
21_ 2
Make a dot plot of the data. STEP 1 List the data in order from least to greatest.
STEP 2 Draw a number line that includes all the numbers on your list. STEP 3 Mark a dot above each number as many times at it occurs on your list. The number 1 occurs 2 times, so mark 2 dots above 1.
0
1 2
1
11 2
2
© Houghton Mifflin Harcourt Publishing Company
Weights of Bags of Apples (lb)
Math Talk Mathematical Processes
Describe what you observe about the data more easily in the dot plot than in Mia’s record.
Module 16
571
Try This! Make a dot plot using decimal data. Mike is practicing for a swim meet. His practice times in seconds are 62.5, 63.0, 62.75, 63.0, 63.0, 62.5, 62.5, 62.75, 63.0, 62.0, 62.75, 62.5, 63.0, and 62.5. Make a dot plot of the data. • List the data in order from least to greatest.
62.0 • Draw a number line that includes all the numbers on your list.
62.5
63.0
Mike’s Practice Times (sec)
• Plot the data. • Explain how you can determine if the dot plot correctly shows
the data.
Share Share and and Show Show Ana measures the heights of sunflowers in her garden. Use the data for 1–2. 1. Write the data in order from least to greatest.
What number will the number line in a dot plot of the data begin with? _
Heights of Sunflowers (ft) 5
3
5
3
2
6
3
2
6
3
2
6
5
3
2
5
What number will it end with? _ How many dots will be on the dot plot? _
Math Talk 2
6
Heights of Sunflowers (ft)
572
Mathematical Processes
Explain why there is not a dot above every number on your dot plot.
© Houghton Mifflin Harcourt Publishing Company
2. Complete the dot plot of the data.
Name
Problem Problem Solving Solving Lily is making a beaded necklace. She makes a list of beads she needs and the mass of each bead. Use the list for 3–4. 3. Explain how to determine what numbers to put on the number
line for a dot plot of the data.
Mass of Beads (g) 2g _ 5
1g _ 5
3g _ 5
3g _
2_ g 5
2g _ 5
4g _ 5
3g _
4_ g 5
1_ g 5
1_ g 5
2g _
5 5 5
4. Multi-Step Make a dot plot of the data.
Mass of Beads (g)
Problem Problem Solving Solving Jeanette kept a record of the distances she jumped practicing the long jump. p. She made a dot plot of the data. Use the record and the dot plot for 5–6. 5.
Multi-Step Jeanette made more than one error on the dot plot. Describe and correct the errors.
Long Jump (m)
© Houghton Mifflin Harcourt Publishing Company
6.
6.5
7.0
6.5
7.0
6.25
6.5
6.0
6.25
6.25
6.0
6.5
6.25
6.25
6.5
6.25
7.0
6.0
6.25
Reasoning If Jeanette jumped each distance shown on the number line an equal number of times, what would the dot plot look like? 6.5
6.75
Long Jump (m)
Module 16 • Lesson 1
573
Mathematical Processes M Model ¥ Reason ¥ Communicate M
Daily Daily Assessment Assessment Task Task The table shows the speeds of ants that competed in a go-cart race. Use the data for 7–9. Fill in the bubble completely to show your answer.
Speeds (Miles per Hour) 6.8
7.1
6.9
6.8
7.1
7.1
6.6
6.8
7.0
6.6
6.8
6.8
7. You are making a dot plot to show the data. Which numbers will you put
on the number line for the dot plot?
A
6.5, 6.6, 6.7, 6.9, 7.0, 7.1
B
6.7, 6.8, 6.9, 7.0, 7.1, 7.2
C
6.6, 6.7, 6.8, 6.9, 7.0, 7.1
D
6.5, 6.6, 6.7, 6.8, 6.9, 7.0
8. How many dots will you mark above 7.1?
A
4
C
3
B
2
D
1
9. Multi-Step The go-cart race officials realize that 3 ants in the race
should be disqualified. What happens to the dot plot if 3 of the ants with a time of 6.8 miles per hour are removed?
A
The tallest stack of dots will be above 7.1.
B
The tallest stack of dots will be above 6.6.
C
The number of speeds plotted on the dot plot will change to 15.
D
The dot plot remains the same.
TEXAS Test Prep in cups is 5_8 , 3_8 , 3_8 , 7_8 , 7_8 , 5_8 , 3_8 , 3_8 , 7_8 , 7_8 , 5_8 , and 5_8 . Sandy makes a dot plot of the data. Which numbers will she put on the number line?
574
A
3, 4__, __ 5, __6 __ 8 8 8 8
C
4, __ 5, 6__, __7 __ 8 8 8 8
B
3, 4__, __ 6, __7 __ 8 8 8 8
D
3, __ 4, 5__, __6, 7__ __ 8 8 8 8 8
© Houghton Mifflin Harcourt Publishing Company
10. Sandy has 12 recipes for trail mix. The amount of peanuts in each recipe
H o mewo rk and Practice
16.1
Data Analysis—5.9.A MATHEMATICAL PROCESSES 5.1.A, 5.1.D, 5.1.E
Name
Make Dot Plots
Mrs. O’Malley makes a list to show the miles each dance student travels to the practice center. Use the list for 1–2. 1. What is the least distance traveled? What is the
greatest distance traveled?
Distance (miles) 1
2
3
21_ 2 21_ 2
1_1 2
11_ 2
2
3
21_ 2 21_ 2 1_1 2
2. Make a dot plot of the data.
1 21
1
2 21
2
3
Distance (miles)
Problem Problem Solving Solving Colton has a list of the length of each song in his favorites playlist. He makes a dot plot of the data. Use the list and the dot plot for 3–4.
Length of Songs (minutes) 4.0
2.5
2.5
3.0
3. Colton counts the number of dots in his dot plot and the
4.0
3.5
3.0
2.5
data in his list and finds that the numbers are not equal. Explain Colton’s error and how he can fix it.
3.0
3.5
4.0
3.5
3.5
3.0
3.5
4.0
2.5
3.0
3.5
4.0
Length of Songs (minutes)
© Houghton Mifflin Harcourt Publishing Company
4. Colton deletes one song with a length of 3.5 minutes from
his playlist and adds one song with a length of 4.0 minutes. How will the dot plot of the data change?
Module 16 • Lesson 1 575
TEXAS Test Prep
Lesson Lesson Check Check Fill in the bubble completely to show your answer.
6. A geologist measures the mass of some rocks
nearest 1_2 inch are: 56 1_2 , 57, 56 1_2 , 58, 58, 57 1_2 , 57 1_2 , 57, 58 1_2 , and 57. Leila makes a dot plot of the data. How many different heights will be included on the number line?
A
10
C
3
B
5
D
9
to the nearest tenth of a gram and makes a dot plot of the data. The masses are: 5.3, 5.5, 5.6, 5.4, 5.4, 5.3, 5.8, 5.7, 5.8, 5.5, 5.5, and 5.3 grams. She lists two numbers on the number line. How many more numbers will she put on the number line?
A
2
C
4
B
3
D
5
A paleontologist measures the lengths of several fossils. The table shows the lengths to the nearest tenth of a centimeter. Use the data for 7–10.
7. Which numbers will you put on the number
7.9
7.8
8.1
8.2
7.8
7.8
7.9
8.1
7.8
7.9
7.9
8.1
7.9
7.8
7.9
8. Which number will not have any dots
line for the dot plot?
marked above?
A
7.8, 7.9, 8.0, 8.1, 8.2
A
7.8
B
7.9, 7.8, 8.1, 8.2, 7.8
B
8.0
C
7.9, 8.1, 8.2, 8.3, 8.4
C
8.1
D
7.8, 7.9, 8.1, 8.2, 8.3
D
8.2
9. Multi-Step What is the difference between
the total number of dots and the number of dots above the number with the most dots?
576
Lengths (cm)
10. Multi-Step The paleontologist measures
A
10
B
9
the fossils again and finds two errors. Two fossils with a length of 7.9 centimeters instead measure 8.1 and 8.2 centimeters. Which two numbers will have the same number of dots?
C
8
A
7.8 and 7.9
D
14
B
8.0 and 8.2
C
7.8 and 8.1
D
7.9 and 8.1
© Houghton Mifflin Harcourt Publishing Company
5. The heights of the girls in Leila’s class to the
