The distribution below gives the weight of 30 students in a class. Find the median weight of students:
Weight (in kg): | 40-45 | 45-50 | 50-55 | 55-60 | 60-65 | 65-70 | 70-75 |
No. of students: | 2 | 3 | 8 | 6 | 6 | 3 | 2 |
We may find cumulative frequencies with their respective class intervals as below:
Weight (in kg) | 40-45 | 45-50 | 50-55 | 55-60 | 60-65 | 65-70 | 70-75 |
No. of students | 2 | 3 | 8 | 6 | 6 | 3 | 2 |
Cumulative frequency | 2 | 5 | 13 | 19 | 25 | 28 | 30 |
Median class = 55-60
l = 55, f = 6, F = 13 and h = 5
Median = l + * h
= 55 + () * 5
= 55 +
= 56.666
So, median weight is 56.67 kg.