Q. 134.2( 5 Votes )

# Find the median f

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 = 123

N/2 = 123/2 = 61.5

The cumulative frequency just greater than (N/2 = )61.5 is 65, so the corresponding median class is 15.5 - 20.5 and accordingly we get Cf = 33(cumulative frequency before the median class).

Now, since median class is 15.5 - 20.5.

l = 15.5, h = 5, f = 32, N/2 = 61.5 and Cf = 33

Median is given by,  = 15.5 + 4.45

= 19.95

Thus, median is 19.95.

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