Draw a frequency polygon for the following data without using histogram.
Class interval
10−20
20−30
30−40
40−50
50−60
60−70
70−80
80−90
Frequency
4
6
8
10
12
14
7
5
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Solution
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Mark the class intervals along the X-axis and the frequency along the Y-axis. We take the imagined classe 0−10 at the beginning and 90−100 at the end, each with frequency zero. We have tabulated the data as shown. Using the adjacent table, plot the points A(5,0), B(15,4), C(25,6), D(35,8), E(45,10), F(55,12), G(65,14), H(75,7), I(85,5) and J(95,0).
Class interval
Midpoints
Frequency
0−10
5
0
10−20
15
4
20−30
25
6
30−40
35
8
40−50
45
10
50−60
55
12
60−70
65
14
70−80
75
7
80−90
85
5
90−100
95
0
We draw the line segments AB, BC, CD, DE,, EF, FG, GH, HI, IJ to obtain the required frequency polygon ABCDEFGHIJ, which is shown in Figure.
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Similar Questions
Q1
Draw a frequency polygon for the following data without using histogram.
Class interval
10−20
20−30
30−40
40−50
50−60
60−70
70−80
80−90
Frequency
4
6
8
10
12
14
7
5
View Solution
Q2
Draw a frequency polygon imposed on the histogram for the following distribution.
Class interval
10−20
20−30
30−40
40−50
50−60
60−70
70−80
80−90
Frequency
4
6
8
10
12
14
7
5
View Solution
Q3
Draw a frequency polygon for the following frequency distribution.
CI
0−10
10−20
20−30
30−40
40−50
50−60
60−70
70−80
f
12
18
6
10
8
25
22
4
View Solution
Q4
Draw a histogram and frequency polygon to represent the following data.
Marks
10−20
20−30
30−40
40−50
50−60
60−70
70−80
80−90
90−100
No. of Students
12
22
35
40
60
52
40
30
5
View Solution
Q5
Find the mean deviation about the following continuous distribution: