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

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Find the median weight of the students.
NCERT Class 10 Mathematics Chapter 14 Statistics
Page No. 289
Exercise 14.3
Question No. 7

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1 Answer

  1. The cumulative frequency with their respective class intervals are as follows.

    Cumulative frequency just greater than n/2 (i.e. 30/2 = 15) is 19, belonging to class interval 55 – 60.
    Median class = 55 – 60
    Lower limit (l) of median class = 55
    Frequency (f) of median class = 6
    Cumulative frequency (cf) of median class = 13
    Class size (h) = 5
    Median = l + ((n/2 – cf)/f) × h = 55 + ((15 – 13)/6) × 5 = 55 + 10/6 = 55 + 1.67 = 56.67.
    Therefore, median weight is 56.67 kg.

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