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Methodology of Research and Statistical Techniques
Notes The histogram will be as shown in Figure 9.1.
Figure: 9.1. Distribution of Mathematics Scores
Y
14
12
10
Frequencies 8
6
4
2
0
34.5 39.5 44.5 49.5 54.5 59.5 64.5 69.5 74.5 79.5 84.5 89.5 94.5 99.5 X
Scores
Let us re-group the data of Table 9.2 by having the length of class intervals as 10, as shown
in Table 9.5.
Table 9.5 Frequency Distribution of Mathematics Scores
Scores 90–99 80–89 70–79 60–69 50–59 48–49 30–39 Total
Frequency 11 18 20 25 21 18 7 120
To plot the histogram, we-mark the boundaries of the class intervals on X-axis. Here the points
will be 29.5, 39.5, 49.5,. . .-. . . . , 99.5. On the y-axis, the frequencies to be marked are from
1 to 25. On X-axis, a distance of 1 cm represents a scoare of 10, while on Y-axis, 1 cm represents
a frequency of 5. The histogram will be as shown in Figure 9.2.
Figure: 9.2. Distribution of Mathematics Scores
Y
25
25
21
20
20 18 18
Frequencies 15 11
10
7
5
0 29.5 39.5 49.5 59.5 69.5 79.5 89.5 99.5 X
Scores
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