Q. 44.1( 23 Votes )

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Answer :

We’ll convert this inclusive data into exclusive data type.


For median:


We have, total frequency, N = 40


N/2 = 40/2 = 20


Observe, cf = 29 is just greater than 20.


Thus, median class = 144.5-153.5


Median is given by



Where,


L = Lower class limit of median class = 144.5


N/2 = 20


cf = cumulative frequency of the class preceding median class = 17


f = frequency of the median class = 12


h = class interval of the median class = 9


Substituting these values in the formula of median, we get




Median = 144.5 + 9/4


Median = 144.5 + 2.25


Median = 146.75


Thus, the median is 146.75 mm.


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