Question

If the median of the distribution given below is 28.5, find the values of x and y.

Class interval	0–10	10–20	20–30	30–40	40–50	50–60	Total
Frequency	5	x	20	15	y	5	60

Answer 1

Here, median = 28.5 and n = 60
Now, we have

Class interval	Frequency (fi)	Cumulative frequency (cf)
0–10	5	5
10–20	x	5 + x
20–30	20	25 + x
30–40	15	40 + x
40–50	y	40 + x + y
50–60	5	45 + x + y
Total	∑fi= 60

Since the median is given to be 28.5, thus the median class is 20 – 30.