Question

8. The median of the following data is 16. Find the missing frequencies a
and b if the total of frequencies is 70.
Class
0-5
5-10
10–15 | 15-20 20-25 25-30 30-35 35-40
Frequency 12
a
12
15
b
6
6
4​

Answer 1

Answer:

Let a and b be the missing frequencies of class intervals 5 – 10 and 20 – 25 respectively. Median is 16, which lies in 15 – 20. So, the median class is 15 – 20. Hence, a = 8 and b = 7.