Represent Data on a Bar Graph

SDAP*0'
1.1 Formulate
survey questions; systematically collect and
&&66
8VHWKHIRXURSHUDWLRQVWRVROYHZRUGSUREOHPVLQYROYLQJGLVWDQFHV
LQWHUYDOVRIWLPHOLTXLGYROXPHVPDVVHVRIREMHFWVDQGPRQH\LQFOXGLQJSUREOHPV
represent on a number line; and coordinate graphs, tables and
LQYROYLQJVLPSOHIUDFWLRQVRUGHFLPDOVDQGSUREOHPVWKDWUHTXLUHH[SUHVVLQJ
charts.
PHDVXUHPHQWVJLYHQLQDODUJHUXQLWLQWHUPVRIDVPDOOHUXQLW5HSUHVHQWPHDVXUHPHQW
TXDQWLWLHVXVLQJGLDJUDPVVXFKDVQXPEHUOLQHGLDJUDPVWKDWIHDWXUHDPHDVXUHPHQW
VFDOH
UNDERLYING SKILLS AND CONCEPTS:
organize data;
count and tally;
order numbers
Represent Data on a Bar Graph
You can use tallies to summarize data from a survey.
a
K
ey Ide
Then you can show the data in a bar graph.
E x am p l E
Katie surveyed her classmates. She asked, “When did you go to bed yesterday?”
The table shows the responses.
When Did You Go to Bed Yesterday?
Student
Time
AK
AS
BJ
BR
BY CM ER
CA
8:30 8:15 10:00 9:30 9:30 8:00 8:30 7:45
Student
Time
KT MY
JV
CV LW KS RO WN
9:00 9:00 9:15 8:00 8:30 8:45 9:15 10:00
8
7
6
5
4
3
2
1
0
8
7
6
5
4
3
2
1
0
Students
Graph B
When Did You Go to Bed?
Students
Graph A
When Did You Go to Bed?
7:00-8:00
8:05-9:00
9:05-10:00
Time
To decide, first tally the responses.
Then find the graph that matches the tally.
Graph B shows the same data.
page 340
7:00-8:00
8:05-9:00
9:05-10:00
Time
When Did You Go
to Bed Yesterday?
7:00 - 8:00
8:05 - 9:00
9:05 - 10:00
Chapter 29 – Lesson 2
D – © CSL Associates, Inc. All rights reserved.
Which graph best shows the data?
Name
P RAC T I C E
Chaval surveyed his class to find out how many brothers and sisters
each person had. The table shows his data.
How Many Brothers and Sisters Do You Have?
Student
Siblings
AK
AS
BJ
BR
BY
CM
ER
CA
0
2
1
1
4
2
3
0
Student
Siblings
KT
1
MY
1
JV
1
CV
2
LW
1
KS
0
RO
6
WN
4
1. Make a tally that shows the same
data.
Title:
Number
of Students
Students
D – © CSL Associates, Inc. All rights reserved.
Title:
Number of
Brothers and
Sisters
2. Make a bar graph that shows the
same data.
0 1 2 3 4 5 6
Number of Brothers and Sisters
Math
Reasoning
Comparing Graphs
MR 2.3
3. Which graph would you use if you
were trying to convince your parents
to get a dog? Why?
Possible answer: Dennis’
graph. The longer bars make
it look like lots of people
have dogs.
Chapter 29 – Lesson 2
Dennis’ Graph
Cara’s Graph
20
15
10
5
0
cats
dogs
16
14
12
10
8
6
4
2
fish
cats
dogs
fish
page 341
MCX94.HW.CL.G4.FM&Lesson.v211
8/2/04
19:17
Page 228
Name
…at home!
P RAC T I C E
Ari surveyed his class to find out how many brothers and sisters each
person had. The table shows his data.
How Many Brothers and Sisters Do You Have?
Student
Siblings
AK
AS
BJ
BR
BY
CM
ER
CA
1
2
2
1
3
1
3
1
Student
Siblings
KT
0
MY
1
JV
2
CV
2
LW
1
KS
0
RO
5
WN
2
1. Make a tally that shows the same
data.
2. Make a bar graph that shows the
same data.
Number
of Students
Students
Number of
Brothers and
Sisters
0 1 2 3 4 5 6
Number of Brothers and Sisters
Math
Reasoning
Comparing Graphs
MR 2.3
3. Which graph would you use if you
were trying to convince your parents
to get a skateboard? Why?
Possible answer: Robert’s
graph. The longer bars make
it look like lots of people
have skateboards.
page 228
Robert's Graph
Gene's Graph
20
15
10
5
0
bike
roller
blades skateboard
Home Resource and Homework
16
14
12
10
8
6
4
2
0
bike
roller
skateboard
blades
Chapter 29 Lesson 2
D – © CSL Associates, Inc. All rights reserved.
Title:
Title:
MCX94TEG4Ch01_32.v8.5.2 2/26/01 19:06 Page 627
Name
P RAC T I C E
Chaval surveyed his class to find out how many brothers and sisters
each person had. The table shows his data.
How Many Brothers and Sisters Do You Have?
Student
Siblings
AK
AS
BJ
BR
BY
CM
ER
CA
0
2
1
1
4
2
3
0
Student
Siblings
KT
1
MY
1
JV
1
CV
2
LW
1
KS
0
RO
6
WN
4
Title:
Number of
Brothers and
Sisters
0
1
2
3
4
5
6
Math
Reasoning
2. Make a bar graph that shows the
same data.
Title: How Many Brothers and Sisters?
Number
of Students
Students
D – © CSL Associates, Inc. All rights reserved.
1. Make a tally that shows the same
data.
8
7
6
5
4
3
2
1
0 1 2 3 4 5 6
Number of Brothers and Sisters
Comparing Graphs
MR 2.3
3. Which graph would you use if you
were trying to convince your parents
to get a dog? Why?
Possible answer: Dennis’
graph. The longer bars make
it look like lots of people
have dogs.
Chapter 29 – Lesson 2
Dennis’ Graph
Cara’s Graph
20
15
10
5
0
cats
Student Book Page
dogs
16
14
12
10
8
6
4
2
fish
cats
dogs
fish
page 341
Name
…at home!
P RAC T I C E
Ari surveyed his class to find out how many brothers and sisters each
person had. The table shows his data.
How Many Brothers and Sisters Do You Have?
Student
Siblings
AK
AS
BJ
BR
BY
CM
ER
CA
1
2
2
1
3
1
3
1
Student
Siblings
KT
0
MY
1
JV
2
CV
2
LW
1
KS
0
RO
5
WN
2
Math
Reasoning
Title: How Many Brothers and Sisters?
8
7
6
5
4
3
2
1
0 1 2 3 4 5 6
Number of Brothers and Sisters
Comparing Graphs
MR 2.3
3. Which graph would you use if you
were trying to convince your parents
to get a skateboard? Why?
Possible answer: Robert’s
graph. The longer bars make
it look like lots of people
have skateboards.
page 228
Robert's Graph
Gene's Graph
20
15
10
5
0
bike
roller
skateboard
blades
Home Resource and Homework
16
14
12
10
8
6
4
2
0
bike
roller
blades skateboard
Chapter 29 Lesson 2
D – © CSL Associates, Inc. All rights reserved.
Title: How Many Brothers and Sisters?
Number of
Number
Brothers and
of Students
Sisters
0
1
2
3
4
5
6
2. Make a bar graph that shows the
same data.
Students
1. Make a tally that shows the same
data.