Q. 144.1( 7 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. So, N = 200

N/2 = 200/2 = 100

The cumulative frequency just greater than (N/2 = )100 is 116, so the corresponding median class is 50 - 60 and accordingly we get Cf = 92(cumulative frequency before the median class).

Now, since median class is 50 - 60.

l = 50, h = 10, f = 24, N/2 = 100 and Cf = 92

Median is given by,  = 50 + 3.33

= 53.33

Thus, median is 53.33.

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