Question

Draw a less than ogive for the following data:
Class Interval 1-4 4-7 7-10 10-13 13-16 16-19
Frequency 6 30 40 16 4 4

Answer 1

Step-by-step explanation:

We first prepare the cumulative frequency distribution table by less than method as given below:

Marks No. of Students Marks less than Cumulative Frequency

0-10 7 10 7

10-20 10 20 17

20-30 23 30 40

30-40 51 40 91

40-50 6 50 97

50-60 2 60 100

Other than the given class intervals, we assume a class -10-0 before the first class interval 0-10 with zero frequency.

Now, we mark the upper class limits ( including the imagined class) along x-axis on a suitable scale.

Thus, we join the plotted points by a free hand curve to obtain the required ogive as shown Fig 1 In order to obtain the cumulative frequency polygon, we join the plotted points by line segments as shown in Fig. 2.

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