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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.