Q5 of 33 Page 14

The following is the distribution of height of students of a certain class in a certain city.


Find the median height.

To find: The median height.


Formula Used:


Median = l + × h


l = lower limit of median class


f = frequency of median class


h = size of the median class


F = cumulative frequency preceding the median class.


Explanation:



We have, N = 420



= 210


The cumulative frequency just greater than is 275 then 165.5-168.5 is the median class such that,


l = 165.5, f = 142, F = 133 and h = 168.5-165.5 = 3


Median = l + × h


= 165.5 + × 3


= 165.5 + × 3


= 165.5 + 1.63


= 167.13


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