Q. 11

Size of agricultural holdings in a survey of 200 families is given in the following table



Compute median and mode size of the holdings.

Answer :


(i) Here, N = 200


Now,


N/2 = 200/2 = 100


(which lies in the interval 15 – 20)


Lower limit, l = 15,


h = 5,


f = 80 and


fc = 55





= 15 + 2.81


= 17.81 hec


the median is 17.81 hec


(ii) In a given table 80 is the highest frequency.


So, the modal class is 15 - 20.


Here, l = 15,


fm = 80,


f1 = 30,


f2 = 40


h = 5






= 15 + 25/9


= 15 + 2.77 = 17.77 hec


the mode is 17.77 hectare


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