Q14 of 55 Page 349

Let us find the median of given data.

The data given in the question is exclusive type of data.

To find median of data, we need to make a table calculating cumulative frequency.



For median:


We have, total frequency, N = 622


N/2 = 622/2 = 311


Observe, cf = 391 is just greater than 311.


Thus, median class = 60 – 70


Median is given by



Where,


L = Lower class limit of median class = 60


N/2 = 311


cf = cumulative frequency of the class preceding median class = 289


f = frequency of the median class = 102


h = class interval of the median class = 10


Substituting these values in the formula of median, we get




Median = 60 + 2.157


Median = 62.157


Thus, the median of data is 62.157.


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