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

Solution:

We know that,

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.

☛ Check: NCERT Solutions for Class 10 Maths Chapter 14

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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

Summary:

The distribution below gives the weights of 30 students of a class. The median weight of the students is 56.67 kg.

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