Question

Find the median of the following data

Class	0-10	10-20	20-30	30-40	40-50	50-60	60-70	70-80	80-90	90-100
Frequency	5	3	4	3	3	4	7	9	7	8

Answer 1

The given distribution is

Class	0-10	10-20	20-30	30-40	40-50	50-60	60-70	70-80	80-90	90-100
Frequency	5	3	4	3	3	4	7	9	7	8

We have to find the median of the above distribution.

Now we have to find the cumulative frequency as

Class	0-10	10-20	20-30	30-40	40-50	50-60	60-70	70-80	80-90	90-100
Frequency	5	3	4	3	3	4	7	9	7	8
Cumulative Frequency	5	8	12	15	18	22	29	38	45	53

From the above distribution median class is 60-70 and

Now we are using the following relation

Hence the median of the given distribution is 66.43