Q. 225.0( 3 Votes )
Given: Median = 24
Let the unknown frequency be x.
Σfi = N = Sum of frequencies,
h = length of median class,
l = lower boundary of the median class,
f = frequency of median class
and Cf = cumulative frequency
Lets form a table, where x is the unknown frequency.
Median = 24 (as already mentioned in the question)
24 lies between 20 - 30 ⇒ Median class = 20 - 30
∴ l = 20, h = 10, f = x, N/2 = (55 + x)/2 and Cf = 30
Median is given by,
⇒ 24 – 20 = (5x – 25)/x
⇒ 4x = 5x – 25
⇒ 5x – 4x = 25
⇒ x = 25
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