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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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