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Answer:
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Class Interval Frequency CF
0 - 10 5 5
10 - 20 x 5 + x
20 - 30 20 25 + x
30 - 40 15 40 + x
40 - 50 y 40 + x + y
50 - 60 5 45 + x + y
Then,
Median = 28.5. Thus, class is 20 - 30.
(n/2) = 30, l = 20, h = 10, cf = 5 + x and f = 20.
Median = l + [(n/2) - cf]/f) * h
=> 28.5 = 20 + [(25 - x)/20] * 10
=> 57 = 65 - x
=> x = 8
Also,
∑fi = 60
=> 45 + x + y = 60
=> 45 + 8 + y = 60
=> y = 7
Hence, the values are x = 8 and y = 7
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