Question

Draw an ogive for the following data which gives the marks and number of students:

Marks	$0-10$	$10-20$	$20-30$	$30-40$	$40-50$
Students	$6$	$21$	$16$	$32$	$10$

Answer 1

To draw the Ogive or cumulative frequency curve, we need to find out the cumulative frequency.

Class interval	$0-10$	$10-20$	$20-30$	$30-40$	$40-50$
Frequency	$6$	$21$	$16$	$32$	$10$
Cumulative frequency	$6$	$27$	$43$	$75$	$85$

Let us take the scale on X-axis as $1cm=10$ and Y-axis as $1cm=10$ and mark the cumulative frequency against the upper limit of each class interval. Joining these points by a smooth curve, we get ogive or cumulative frequency curve. The curve looks like this.