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The distribution below gives the weights of 30 students of a class. Find the median weight of the students
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
Therefore, median weight is 56.67 kg.
☛ Check: NCERT Solutions for Class 10 Maths Chapter 14
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. The median weight of the students is 56.67 kg.
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