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For median:

Since, given that: Median = 28.5

We know, median class = 20-30

Median is given by

Where,

L = Lower class limit of median class = 20

N/2 = 60/2 = 30 [, given: total observation = 60]

cf = cumulative frequency of the class preceding median class = 5 + x

f = frequency of the median class = 20

h = class interval of the median class = 10

Substituting these values in the formula of median, we get

Median = 20 + (25 – x)/2

28.5 = (40 + 25 – x)/2

57 = 65 – x

x = 65 – 57 = 8

Recall, N = 45 + x + y = 60 [given]

And x = 8

45 + 8 + y = 60

53 + y = 60

y = 60 – 53

y = 7

Thus, x = 8 and y = 7.

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