# The distribution below gives the weights of 30 students of a class. Find the median weight of the students.

## Solution :

We prepare the following table to compute the median :

We have : n = 30, So, $$n\over 2$$ = 15

The cumulative frequency just greater than $$n\over 2$$ is 19 and the corresponding the class is (55 – 60).

Thus, (55 – 60) is the median class such that $$n\over 2$$ = 15, l = 55, f = 6, cf = 13 and h = 5.

Substituting these values in the formula,

Median = l + ($${n\over 2} – cf\over f$$)(h)

= 55 + ($$15 – 13\over 6$$)(5) = 55 + $$2\over 6$$(5) = 55 + 1.67 = 56.67

Hence, the median weight is 56.67 kg