Analyze Dot Plots
Name
16.2
?
Data Analysis— 5.9.C MATHEMATICAL PROCESSES 5.1.A, 5.1.B, 5.1.F
Analyze Dot Plots
Essential Question
How can you analyze data displayed on a dot plot?
Unlock Unlock the the Problem Problem You can identify the greatest and least numbers in a set of data on a dot plot.
Example 1 Members of a hiking club made a dot plot of the distances they hiked. What is the greatest distance they hiked? What is the least distance?
7.0
7.5
8.0 8.5 9.0
9.5 10.0
Hiking Trips – Distance (km) The greatest number on the number line that has a dot above it is _. So, the greatest distance they hiked is _ kilometers. The least number on the number line that has a dot above it is _.
So, the least distance they hiked is _ kilometers. The difference between the greatest and least numbers in a group is the range. What is the range of distances the hiking club hiked? Subtract the least distance from the greatest distance.
© Houghton Mifflin Harcourt Publishing Company
_ km – _ km = _ km The difference between the greatest and least distances
Math Talk Mathematical Processes
Explain why 10.0 kilometers is not used to find the range.
is _ kilometers.
So, the range is _ kilometers.
Module 16
577
Example 2 Solve a multi-step problem. A breakfast chef uses three different amounts of milk when making pancakes, depending on the number of pancakes ordered. The dot plot shows customers’ orders for pancakes one morning. How much milk does the chef need to make all the pancakes? STEP 1 Find the number of orders for pancakes that use each amount of milk.
_ dots above 1__4: _ orders that use 1__4 cup of milk _
1: dots above __ 2
_
1 4 3 4 1 4
1 2 1
3 4 1 4
1 2
3 4 1
3 4 1 4
1 2
1 1 2
Milk in Panc P Pancake cake Orde Orders ers (cups) (ccups)
1 cup of milk orders that use __ 2
_ dots above 3__4: _ orders that use 3__4 cup of milk STEP 2 Find the amount of milk needed for the orders that use each amount of milk. 1 __ × 4
_ = _ cup
1× __ 2
_ = _ cups
3× __ 4
_ = _ cups
STEP 3 Add to find the total amount of milk.
_ cup + _ cups + _ cups = _ cups So, the chef needs _ cups of milk to make all the pancakes.
Share Share and and Show Show Ana made a dot plot to show the ages of students in the science club. Use the dot plot for 1–3. 1. How many more students are 10 years old than 12 years old?
number of dots above 12: _
8
9
10
11
12
Ages of Students in Science Club (Years)
_–_=_ 2. The same number of students are
578
3. What is the range of ages of students
what two ages?
in the science club?
______
______
© Houghton Mifflin Harcourt Publishing Company
number of dots above 10: _
Name
Problem Problem Solving Solving Use the dot plot for 4–5. 4.
Communicate Describe a situation that could be represented by this dot plot. Give the dot plot a title. 2.0 2.25 2.5 2.75 3.0
5. Multi-Step Write and solve a problem that uses data from the dot plot.
Unlock Unlock the the Problem Problem 6.
Multi-Step For 10 straight days, Samantha measured the amount of food that her cat Dewey ate, recording the results on a dot plot. What is the total amount of food that Dewey ate?
a. What do you need to know?
b. What steps could you use to find the total amount of food that
Dewey ate?
1 4
3 8
1 2
5 8
3 4
Amount of Cat Food Eaten (cups)
c. Fill in the blanks for the totals of each amount
© Houghton Mifflin Harcourt Publishing Company
measured.
d. Find the total amount of cat food eaten
over 10 days.
1_ cup: _ 4
5 cup: _ _ 8
3_ cup: _ 8
3 cup: _ _ 4
_+_+_+_+ _=_ So, Dewey ate _ of cat food.
1_ cup: _ 2
Module 16 • Lesson 2
579
Mathematical Processes M Model ¥ Reason ¥ Communicate M
Daily Daily Assessment Assessment Task Task Fill in the bubble completely to show your answer. 7. Communicate Allison is comparing prices of different cell phones.
She made a dot plot to show the prices. How can she find the most common price?
A
Find the dot all the way to the right.
B
Find the dot all the way to the left.
C
Find the shortest stack of dots.
D
Find the tallest stack of dots.
Use the dot plot for 8–9. 8. How much do the greatest number of pumpkins weigh?
A
11 lb
C
11.5 lb
B
10.5 lb
D
10 lb
10
10.5
11
11.5
Weight of Pumpkins (lb)
9. Multi-Step Jane bought all the pumpkins that weigh 10 pounds and
10.5 pounds. What is the total weight of the pumpkins she bought?
A
52.5 lb
C
92.5 lb
B
40 lb
D
81 lb
TEXAS Test Prep 10. The dot plot shows the heights of cornstalks at a farm. The same number
of cornstalks are which two heights?
5
5 21
Heights of Cornstalks (ft)
580
A
5 ft and 51_ ft
C
4 ft and 41_ ft
B
41_ ft and 5 ft
D
4 ft and 51_ ft
2
2
2 2
© Houghton Mifflin Harcourt Publishing Company
4 21
4
H o mewo rk and Practice
16.2
Data Analysis—5.9.C MATHEMATICAL PROCESSES 5.1.A, 5.1.B, 5.1.F
Name
Analyze Dot Plots
Students in Tony’s class made a dot plot of the number of letters in their first name. Use the dot plot for 1–3. 1. Write an equation to show how many students
have 3, 4, or 5 letters in their name. 3
4
5
6
7
8
Number of Letters in First Name 2. Do more students have first names with fewer
3. What is the range of the number of
than 5 letters or first names with more than 5 letters? Explain.
letters in the students’ first names? Show how you found your answer.
Problem Problem Solving Solving Use the dot plot for 4–5. 4. Describe a real-world situation that could be represented
by the dot plot. Write a title below the dot plot.
© Houghton Mifflin Harcourt Publishing Company
1.5
2.0 2.5
3.0
3.5
5. Write and solve a problem that uses data from the dot plot.
Module 16 • Lesson 2 581
TEXAS Test Prep
Lesson Lesson Check Check Fill in the bubble completely to show your answer. 6. How long was the greatest number of
phone calls?
3 21
7. Nicki compares prices of movie tickets.
She makes a dot plot to show the prices. How can Nicki find the price of the fewest number of movie tickets?
3 43
4
4 41
4 21
Lengths of Phone Calls (min)
A B
31__ min 2 33__ min 4
C
4 min
D
41__ min 2
Salads from the restaurant salad bar are sold by the ounce. A restaurant employee made a dot plot to show the weights of salads sold at lunchtime. Use the dot plot for 8–11.
A
Find the shortest stack of dots.
B
Find the tallest stack of dots.
C
Find the difference between the most expensive price and the least expensive price.
D
Find the dot farthest to the left.
8.0
8.5
9.0
9.5
10.0
Weights of Salads (oz)
8.0 ounces were sold?
two weights?
A
4
A
8.0 oz and 8.5 oz
B
2
B
8.0 oz and 9.0 oz
C
13
C
8.5 oz and 10 oz
D
11
D
9.5 oz and 10 oz
10. Multi-Step The Ortega family bought all the
salads that weigh 9.5 ounces and 10 ounces. What is the total weight of salads they bought?
582
9. A total of five salads were sold at which
A
30 oz
C
39.5 oz
B
19.5 oz
D
78 oz
11. Multi-Step The cost of salad per ounce
is $0.50. How much did the restaurant collect for all the salads they sold that weighed 9.0 ounces?
A
$18
C
$4.50
B
$36
D
$9.50
© Houghton Mifflin Harcourt Publishing Company
8. How many salads with a weight greater than
16.2
?
Data Analysis— 5.9.C MATHEMATICAL PROCESSES 5.1.A, 5.1.B, 5.1.F
Analyze Dot Plots
Essential Question
How can you analyze data displayed on a dot plot?
Unlock Unlock the the Problem Problem You can identify the greatest and least numbers in a set of data on a dot plot.
Example 1 Members of a hiking club made a dot plot of the distances they hiked. What is the greatest distance they hiked? What is the least distance?
7.0
7.5
8.0 8.5 9.0
9.5 10.0
Hiking Trips – Distance (km) The greatest number on the number line that has a dot above it is _. So, the greatest distance they hiked is _ kilometers. The least number on the number line that has a dot above it is _.
So, the least distance they hiked is _ kilometers. The difference between the greatest and least numbers in a group is the range. What is the range of distances the hiking club hiked? Subtract the least distance from the greatest distance.
© Houghton Mifflin Harcourt Publishing Company
_ km – _ km = _ km The difference between the greatest and least distances
Math Talk Mathematical Processes
Explain why 10.0 kilometers is not used to find the range.
is _ kilometers.
So, the range is _ kilometers.
Module 16
577
Example 2 Solve a multi-step problem. A breakfast chef uses three different amounts of milk when making pancakes, depending on the number of pancakes ordered. The dot plot shows customers’ orders for pancakes one morning. How much milk does the chef need to make all the pancakes? STEP 1 Find the number of orders for pancakes that use each amount of milk.
_ dots above 1__4: _ orders that use 1__4 cup of milk _
1: dots above __ 2
_
1 4 3 4 1 4
1 2 1
3 4 1 4
1 2
3 4 1
3 4 1 4
1 2
1 1 2
Milk in Panc P Pancake cake Orde Orders ers (cups) (ccups)
1 cup of milk orders that use __ 2
_ dots above 3__4: _ orders that use 3__4 cup of milk STEP 2 Find the amount of milk needed for the orders that use each amount of milk. 1 __ × 4
_ = _ cup
1× __ 2
_ = _ cups
3× __ 4
_ = _ cups
STEP 3 Add to find the total amount of milk.
_ cup + _ cups + _ cups = _ cups So, the chef needs _ cups of milk to make all the pancakes.
Share Share and and Show Show Ana made a dot plot to show the ages of students in the science club. Use the dot plot for 1–3. 1. How many more students are 10 years old than 12 years old?
number of dots above 12: _
8
9
10
11
12
Ages of Students in Science Club (Years)
_–_=_ 2. The same number of students are
578
3. What is the range of ages of students
what two ages?
in the science club?
______
______
© Houghton Mifflin Harcourt Publishing Company
number of dots above 10: _
Name
Problem Problem Solving Solving Use the dot plot for 4–5. 4.
Communicate Describe a situation that could be represented by this dot plot. Give the dot plot a title. 2.0 2.25 2.5 2.75 3.0
5. Multi-Step Write and solve a problem that uses data from the dot plot.
Unlock Unlock the the Problem Problem 6.
Multi-Step For 10 straight days, Samantha measured the amount of food that her cat Dewey ate, recording the results on a dot plot. What is the total amount of food that Dewey ate?
a. What do you need to know?
b. What steps could you use to find the total amount of food that
Dewey ate?
1 4
3 8
1 2
5 8
3 4
Amount of Cat Food Eaten (cups)
c. Fill in the blanks for the totals of each amount
© Houghton Mifflin Harcourt Publishing Company
measured.
d. Find the total amount of cat food eaten
over 10 days.
1_ cup: _ 4
5 cup: _ _ 8
3_ cup: _ 8
3 cup: _ _ 4
_+_+_+_+ _=_ So, Dewey ate _ of cat food.
1_ cup: _ 2
Module 16 • Lesson 2
579
Mathematical Processes M Model ¥ Reason ¥ Communicate M
Daily Daily Assessment Assessment Task Task Fill in the bubble completely to show your answer. 7. Communicate Allison is comparing prices of different cell phones.
She made a dot plot to show the prices. How can she find the most common price?
A
Find the dot all the way to the right.
B
Find the dot all the way to the left.
C
Find the shortest stack of dots.
D
Find the tallest stack of dots.
Use the dot plot for 8–9. 8. How much do the greatest number of pumpkins weigh?
A
11 lb
C
11.5 lb
B
10.5 lb
D
10 lb
10
10.5
11
11.5
Weight of Pumpkins (lb)
9. Multi-Step Jane bought all the pumpkins that weigh 10 pounds and
10.5 pounds. What is the total weight of the pumpkins she bought?
A
52.5 lb
C
92.5 lb
B
40 lb
D
81 lb
TEXAS Test Prep 10. The dot plot shows the heights of cornstalks at a farm. The same number
of cornstalks are which two heights?
5
5 21
Heights of Cornstalks (ft)
580
A
5 ft and 51_ ft
C
4 ft and 41_ ft
B
41_ ft and 5 ft
D
4 ft and 51_ ft
2
2
2 2
© Houghton Mifflin Harcourt Publishing Company
4 21
4
H o mewo rk and Practice
16.2
Data Analysis—5.9.C MATHEMATICAL PROCESSES 5.1.A, 5.1.B, 5.1.F
Name
Analyze Dot Plots
Students in Tony’s class made a dot plot of the number of letters in their first name. Use the dot plot for 1–3. 1. Write an equation to show how many students
have 3, 4, or 5 letters in their name. 3
4
5
6
7
8
Number of Letters in First Name 2. Do more students have first names with fewer
3. What is the range of the number of
than 5 letters or first names with more than 5 letters? Explain.
letters in the students’ first names? Show how you found your answer.
Problem Problem Solving Solving Use the dot plot for 4–5. 4. Describe a real-world situation that could be represented
by the dot plot. Write a title below the dot plot.
© Houghton Mifflin Harcourt Publishing Company
1.5
2.0 2.5
3.0
3.5
5. Write and solve a problem that uses data from the dot plot.
Module 16 • Lesson 2 581
TEXAS Test Prep
Lesson Lesson Check Check Fill in the bubble completely to show your answer. 6. How long was the greatest number of
phone calls?
3 21
7. Nicki compares prices of movie tickets.
She makes a dot plot to show the prices. How can Nicki find the price of the fewest number of movie tickets?
3 43
4
4 41
4 21
Lengths of Phone Calls (min)
A B
31__ min 2 33__ min 4
C
4 min
D
41__ min 2
Salads from the restaurant salad bar are sold by the ounce. A restaurant employee made a dot plot to show the weights of salads sold at lunchtime. Use the dot plot for 8–11.
A
Find the shortest stack of dots.
B
Find the tallest stack of dots.
C
Find the difference between the most expensive price and the least expensive price.
D
Find the dot farthest to the left.
8.0
8.5
9.0
9.5
10.0
Weights of Salads (oz)
8.0 ounces were sold?
two weights?
A
4
A
8.0 oz and 8.5 oz
B
2
B
8.0 oz and 9.0 oz
C
13
C
8.5 oz and 10 oz
D
11
D
9.5 oz and 10 oz
10. Multi-Step The Ortega family bought all the
salads that weigh 9.5 ounces and 10 ounces. What is the total weight of salads they bought?
582
9. A total of five salads were sold at which
A
30 oz
C
39.5 oz
B
19.5 oz
D
78 oz
11. Multi-Step The cost of salad per ounce
is $0.50. How much did the restaurant collect for all the salads they sold that weighed 9.0 ounces?
A
$18
C
$4.50
B
$36
D
$9.50
© Houghton Mifflin Harcourt Publishing Company
8. How many salads with a weight greater than
