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.