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BAR GRAPHS AND CIRCLE GRAPHS

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Review

Following is the data regarding the number of candidates of 20 families. Represent it in the form of frequency table.

3, 4, 4, 0, 1, 4, 6, 0, 4, 6, 3, 0, 5, 4, 2, 2, 2, 2, 2, 1.

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Review Draw a line graph for the following table:

Income 500-600

600-700

700-800

800-900

900-1000

No. of employees

60 70 100 85 70

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Bar Graphs

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BAR GRAPHS

A bar graph uses vertical or horizontal bars to display numerical information.

We can use a bar graph to compare amounts.

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Making a Bar Graph To draw a bar graph, there must be a frequency

table. Draw and label the horizontal and vertical axes. Choose a scale. Draw bars of equal widths. The heights will vary. Choose an appropriate title.

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Bar Graph

Name Number of siblings

Ann 3

Betsy 1

Catherine 2

Riyas 1

Example: Draw a bar graph to represent the number of siblings of some of students

00.5

11.5

22.5

33.5

ANN

BETSY

CATHERINE

RIYAS

NUMBER OFSIBLINGS

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BAR GRAPHSEXAMPLE : The final mathematics grade for 6 students are given below:

Grades Number of students

A 100

B 250

C 300

D 120

E 40

F 20

0

50

100

150

200

250

300

350

A B C D E F

NUMBER OFSTUDENTS

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TRY THIS ONE!!!

Draw a bar graph showing the average rainfall recorded from June to November in New York city

June July August September October November

20cm 30cm 42cm 25cm 15cm 4cm

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Practice Problems The following table shows the interest paid by a company on external debts during the period from 1999 to 2004:

Question.1

Year 1999 2000 2001 2002 2003 2004

interest 2300 2700 3600 4100 5400 6000

Draw a bar graph.

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Question 2 In the annual examination, the marks

secured by students in Mathematics is as per data given below:

Marks 30-39 40-49 50-59 60-69 70-79 80-89 90-99

Number

of

Students

10 5 6 3 6 7 3

Draw a bar graph.

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Question 3 Represent the height of the students

from the following table:

Weight

(in KG)

40 41 42 43 44 45

Number

of

Students

8 3 7 5 5 2

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Double Bar

You can plot two data set on the same graph to compare them more easily.

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Graphing Two Sets of Data

An individual school gives different time periods to the subjects. Show it by a bar graph.

Subjects English French Mathe-

matics

History Physics Games/

library

School A 9 6 9 6 9 3

School B 6 7 10 6 9 2

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Representation of Double Graph

0

2

4

6

8

10

12

English HISTORY

SCHOOL ASCHOOL B

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Double Graphs The following table shows the production of

scooters and cars by a company over a period from 2001 to 2005. Draw a double bar graph.

Years 2001 2002 2003 2004 2005

Scooters 480,000 380,000 400,000 600,000 620,000

Cars 122,000 200,000 212,000 280,000 320,000

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Making a Double Bar Graph

0

100,000

200,000

300,000

400,000

500,000

600,000

700,000

2001 2002 2003 2004 2005

scooters

cars

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Now your turn!!

The following data gives the education level of males and females:

Education Level

Number of females

Number of

males

Elementary 91 89

Middle 5 21

High 35 40

Graduate and above

45 50

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Break

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Solve this puzzle

http://www.thekidzpage.com/onlinejigsawpuzzles/kids-jigsaw-puzzles/12-piece-jigsaw/12-27-06-uppity.html

Title: Format: WebEx Web BrowserDouble-click to edit

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CIRCLE GRAPHS

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Circle Graph

A Circle graph is a graph of data where the entire circle represents the whole. Each wedge in the circle represents part of the whole.

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Circle Graph

A circle graph is often called a pie chart. Each wedge of a circle graph is like a “piece of the pie”.

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Reading A Circle Graph

1st Qtr2nd Qtr3rd Qtr4th Qtr

48 %

26%

13%13%

Eaten fresh

Decay

processed

exported

a. For what purpose are 48% of apples used ?

Answer : eaten fresh

b. What percent of apples are exported ?

Answer : 26%

c. What percent of apples are decay?

Answer : 13% APPLES

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Making a Circle Graph

First, use a calculator to change the data to percents of the total.

Round to the nearest percent. Use number sense to divide the circle.

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Example 1

In 2006, the baseball players scored a total of 500 home runs in the various matches. Make a circle graph.

Players Runs

1 213

2 120

3 112

4 33

5 22

Total number of homeruns

500

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Converting data into percentData into percent

213 = 43%

500

120 = 24 %

500

112 = 22 %

500

33 = 7%

500

22 =4 %

500

1

2

3

4

543%

24%

22%

7%

4%

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EXAMPLE 2

Construct a pie-chart for the following frequency table:

Marks 10-19 20-29 30-39 40-49 50-59

Number

of

students

15 20 35 10 4

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Conversion of data into percent and constructing a pie-chart

15 = 18%

84

20 = 24%

84

35 = 42%

84

10 = 12%

84

4 = 5%

84

10--19

20--29

30--39

40--49

50--59

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Try to do this by yourself

Construct a pie-chart for the following frequency table:

X 0-10 10-20 20-30 30-40

F 4 7 10 18

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ASSESSMENT1. Represent the following data by means of a pie-chart:

Weekly wages: 10-15 15-20 20-25 25-30 30-40 40-50

Number of : 7 19 27 15 12 12

Workers

2. Draw a circle graph:

Daily wages frequency

25-30 2

30-35 9

35-40 12

40-45 6

45-50 1

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3. Represent the following frequency table on the same bar diagram

151425-30

262120-25

322915-20

403510-15

38285-10

25150-5

Village A

Number of inhabitants Age Group

Village B

ASSESSMENT

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ASSESSMENT 4.The following table gives the marks

obtained (out of 50) by 102 students in a test:

marks 20 22 23 24 26 31 38 43

Frequency 8 15 28 27 20 2 1 1

Draw a bar graph.

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Review

Bar graph: A bar graph uses vertical or horizontal bars to display numerical information.

Double Bar: We can plot two data sets on the same graph to compare them more easily.

Circle graph: It is a graph of data where the entire circle represents the whole. Each wedge

represents part of the whole.

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That’s all for today.