State whether the following graph is true or not.

The frequency distribution of marks obtained by 36 students in a test is as follows

Marks Obtained
Number of Students
50 – 60
4
60 – 70
8
70 -80
12
80 – 90
6
90 – 100
6

A cumulative curve of 'less than type' and 'more than type' on the same axes is,

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True

False

answer is A.

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Detailed Solution

Given is a table with frequencies about a certain range.

Marks Obtained	Number of Students
50 – 60	4
60 – 70	8
70 -80	12
80 – 90	6
90 – 100	6

Less than type ogive coordinates [(upper limit, c.f.)]
For this curve, plot the upper limit of classes on x-axis, and the cumulative frequency on y-axis. The points to be plotted are as follows.

(60, 4) (70, 12) (80, 24) (90, 30) (100, 36)

More than type ogive co-ordinates [(lower limit, c.f.)] For this curve, plot the lower limit of classes on x-axis, and the cumulative frequency on y-axis. The points to be plotted are as follows.