Q. 23.9( 14 Votes )

Compute the media

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.

So, N = 50

N/2 = 50/2 = 25

The cumulative frequency just greater than (N/2 = ) 25 is 41, so the corresponding median class is 35 - 42 and accordingly we get Cf = 25(cumulative frequency before the median class).

Now, since median class is 35 - 42.

l = 35, h = 7, f = 16, N/2 = 25 and Cf = 25

Median is given by,

= 35 + 0

= 35

Thus, median marks are 35.

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