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

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

   3.7

Answers (1)

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Class

Number of

students f_i

Cumulative

Frequency
40-45 2 2
45-50 3 5
50-55 8 13
55-60 6 19
60-65 6 25
65-70 3 28
70-75 2 30

MEDIAN:
N= 30 \implies \frac{N}{2} = 15
\therefore Median class = 55-60; Lower limit, l = 55; 

Cumulative frequency of preceding class, c.f. = 13; f = 6; h = 5
Median = l + \left (\frac{\frac{n}{2}-c.f}{f} \right ).W
\\ = 55+ \left (\frac{15-13}{6} \right ).5 \\ \\ = 55+\frac{2}{6}.5

= 56.67

Thus, median weight of the student is 56.67 kg

Posted by

HARSH KANKARIA

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