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Q.

The distributions of below give a weight of 30 students of a class. Find the median weight of a student.

Weight(in kg)40-4545-5050-5555-6060-6565-7070-75
Number of students2386632

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Detailed Solution

Class IntervalFrequencyCumulative frequency
40-4522
45-5035
50-55813
55-60619
60-65625
65-70328
70-75230

Given: n = 30 andn2= 15

Median class = 55-60

l = 55, Cf = 13, f = 6 & h = 5

Ncert solutions class 10 chapter 14-8

Median = 55+(15-136)×5

Median=55 + (106) = 55+1.666

Median =56.67

Therefore, the median weight of the students = 56.67

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