Problem-Solving Application: Using Data

from Graphs

Lesson 1-13Lesson 1-13

Pg. # 32-33Pg. # 32-33

CA Content StandardsStatistics, Data Analysis, and Probability 2.3:

I can analyze data and explain why the way in which the results are displayed might have influenced the conclusions reached.

Mathematical Reasoning 2.4:I use a variety of methods, such as words, numbers,

graphs, and tables to explain mathematical reasoning.

Vocabulary: BAR GRAPH

A convenient tool for organizing statistical data. Provides a quick summary of the data and relationships among data.

Bars are used to show quantities.

Objective

Analyze and interpret data in bar graphs.

Example 1.

Sherrie is training for the LA Marathon, which is approximately 26 miles long. The table below shows a week’s worth of Sherrie’s training days.

Sherrie’s Training Sessions

Day # of Miles Ran

Monday 4.5

Tuesday 3.25

Wednesday 0.75

Thursday 6.5

Friday 7

Sherrie's Training Sessions

0

1

2

3

4

5

6

7

8

Mon. Tues. Wed. Thurs. Fri.

DAYS

MILES

Example 2.

Miss Flores surveyed her 6th period class to investigate which is the preferred wireless provider: Sprint, AT&T (Cingular), or Verizon. Results are shown in the table below.

Wireless Provider Preference

Sprint AT&T Verizon

7 10 15

Wireless Provider Preference

0

2

4

6

8

10

12

14

16

18

Sprint AT&T Verizon

PROVIDER

PARTICIPANT(S)

Parts of a Bar GraphWireless Provider Preference

0

2

4

6

8

10

12

14

16

18

Sprint AT&T Verizon

PROVIDER

PARTICIPANT(S)

TITLE

X-Axis Units

Y-Axis Units

Y-Axis Scale

Scale Does Matter…Wireless Provider Preference

0

2

4

6

8

10

12

14

16

18

Sprint AT&T Verizon

PROVIDER

PARTICIPANT(S)

Wireless Provider Preference

0

5

10

15

20

Sprint AT&T Verizon

PROVIDER

PARTICIPANT(S)

Scale: 2

Scale: 5

Two Ways to Display…Wireless Provider Preference

0

2

4

6

8

10

12

14

16

18

Sprint AT&T Verizon

PROVIDER

PARTICIPANT(S)

Wireless Provider Preference

0 2 4 6 8 10 12 14 16 18

Sprint

AT&T

Verizon

PROVIDER

PARTICIPANT(S)

Vertical Bar

Graph

Horizontal Bar

Graph

Double Bar GraphSay that Miss Flores wants to separate

the wireless preference results of her sixth period into girls and boys. Her display would have to look different to incorporate this new information. Take a look at the data table below.

Wireless Preference by Gender

Sprint AT&T Verizon

Girls Boys Girls Boys Girls Boys

1 4 7 3 8 9

Wireless Preference by Gender

0

1

2

3

4

5

6

7

8

9

10

Sprint AT&T Verizon

PROVIDER

PARTICIPANT(S)

Girls

Boys

The Moral of the Story:

You can analyze data in bar graphs by reading and interpreting the unit labels and the scale on the graph.