Question

The marks scored by $750$ students in an examination are given in the form of a frequency distribution table:

Marks	No. of students	Marks	No. of students
$600-640$	$16$	$760-800$	$172$
$640-680$	$45$	$800-840$	$59$
$680-720$	$156$	$840-880$	$18$
$720-760$	$284$

Prepare a cumulative frequency table by less than method and draw an ogive.

Answer 1

Marks	No. of students	Marks less than	Cumulative frequency
$600-640$	$16$	$640$	$16$
$640-680$	$45$	$680$	$61$
$680-720$	$156$	$720$	$217$
$720-760$	$284$	$760$	$501$
$760-800$	$172$	$800$	$673$
$800-840$	$59$	$840$	$732$
$840-880$	$18$	$880$	$750$

Plot the points $(640,16),(680,61),(720,217),(760,501),(800,673),(840,732),(880,750)$ by taking upper class limit over the x-axis and cumulative frequency over the y-axis.

Thus, the ogive for the given frequency distribution is obtained.