Question

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

Answer 1

We prepare the cumulative frequency table, as given below.

We have,

So,

Now, the cumulative frequency just greater than 15 is 19 and the corresponding class is .

Therefore, is the median class.

Here,

We know that

Hence, the median weight of students is 56.67 kg.