If the median of the distribution given below is 28.5, find the values of x and y.
We have 45+x+y = 60
(1)
Median = 28.5 which lies in class (20-30)
Therefore, median class = (20-30)
Median
where, l = lower limit of median class = 20
n = number of observations = 60
cf = cumulative frequency of class preceding the median class = 5+x
f = frequency of median class = 20
h = class size (assuming class size to be equal) = 10
Putting value of x in equation (1), we get
Therefore, x = 8 and y =7
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