Question

Draw a less than ogive for the following distribution of marks secured by students of a class.

Marks	No. of students
$0-10$	$5$
$10-20$	$8$
$20-30$	$10$
$30-40$	$9$
$40-50$	$6$
$50-60$	$7$

Answer 1

Step 1: Make the required cumulative frequency table for less than curve:

At first, we have to prepare a cumulative frequency table for less than ogive:

Marks Group	No. of students	Marks	Less than c.f.
$0-10$	$5$	Less than $10$	$5$
$10-20$	$8$	Less than $20$	$13$
$20-30$	$10$	Less than $30$	$23$
$30-40$	$9$	Less than $40$	$32$
$40-50$	$6$	Less than $50$	$38$
$50-60$	$7$	Less than $60$	$45$

Step 2: Draw the ogive:

We plot the cumulative frequencies $5,13,23,32,38,$ and $45$ against the upper limits of the corresponding classes $10,20,30,40,50$, and $60$respectively.

The smooth curve obtained on joining these points is called less than ogive.

Final Answer:

Finally, we drew the ogive by using data values of marks and the number of students.