Q. 114.7( 6 Votes )
Calculate the median for the following data:
Answer :
To find median, Assume
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 and convert it into exclusive - type by adjusting from both ends of a class.
So, N = 340
⇒ N/2 = 340/2 = 170
The cumulative frequency just greater than (N/2 = ) 170 is 199, so the corresponding median class is 32.5 - 39.5 and accordingly we get Cf = 131(cumulative frequency before the median class).
Now, since median class is 32.5 - 39.5.
∴ l = 32.5, h = 7, f = 68, N/2 = 170 and Cf = 131
Median is given by,
⇒ 
= 32.5 + 4.014
= 36.51
Thus, median is 36.51 years.
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