Question

Write the median class of the following distribution:

Class	0 – 10	10 -20	20- 30	30- 40	40-50	50- 60	60- 70
Frequency	4	4	8	10	12	8	4

Answer 1

To find median let us put the data in the table given below:

Class	Frequency` (f_i)`	Cumulative frequency (cf)
0-10	4	4
10-20	4	8
20-30	8	16
30-40	10	26
40-50	12	38
50-60	8	46
60-70	4	50
Total	`N=Σf_i=50`

Now, `N=50⟹N/2=25`
The cumulative frequency just greater than 25 is 26, and the corresponding class is 30-40. 
Thus, the median class is 30-40.