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

**Solution:**

Median Class is the class having Cumulative frequency(cf) just greater than n/2

Median = l + (n/2 - cf)/f × h

- Class size, h
- Number of observations, n
- Lower limit of median class, l
- Frequency of median class, f
- Cumulative frequency of class preceding median class, cf

n = 30 ⇒ n/2 = 15

From the table, it can be observed that cumulative frequency (cf) just greater than 15 is 19, belonging to class 55 - 60.

Therefore, median class = 55 - 60

Class size, h = 5

Lower limit of median class, l = 55

Frequency of median class, f = 6

Cumulative frequency of class preceding median class, cf = 13

Median = l + (n/2 - cf)/f × h

= 55 + (15 - 13)/6 × 5

= 55 + (2/6) × 5

= 55 + 5/3

= 55 + 1.67

= 56.67

Therefore, median weight is 56.67 kg.

**Video Solution:**

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

### NCERT Solutions for Class 10 Maths - Chapter 14 Exercise 14.3 Question 7:

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

The median weights of the students given the weights of 30 students of a class is 56.67 kg