Size of agricultural holdings in a survey of 200 families is given in the following table
Compute median and mode size of the holdings.
(i) Here, N = 200
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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