Question

Find the missing frequencies in the following frequency distribution table, if N = 100 and median is 32.

Marks obtained	0−10	10−20	20−30	30−40	40−50	50−60	Total
No. of Students	10	?	25	30	?	10	100

Answer 1

We have to find the missing term of the following distribution table if

and median is $32$.

Marks obtained	0-10	10-20	20-30	30-40	40-50	50-60	Total
No. of students	10	?	25	30	?	10	100

Suppose the missing term are x and y.

Now we have to find the cumulative frequency as

Class	0-10	10-20	20-30	30-40	40-50	50-60
Frequency	10	$x$	25	30	$y$	10
Cumulative Frequency	10

From the above distribution median class is $30-40$ and

Therefore,

Now we are using the following relation

Now we are putting the value of x in the equation (1), we get

Hence the missing terms are