Q. 44.3( 11 Votes )

# Calculate the med

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 = 49

N/2 = 49/2 = 24.5

The cumulative frequency just greater than (N/2 = ) 24.5 is 25, so the corresponding median class is 15 - 20 and accordingly we get Cf = 11(cumulative frequency before the median class).

Now, since median class is 15 - 20.

l = 15, h = 5, f = 15, N/2 = 24.5 and Cf = 11

Median is given by,  = 15 + 4.5

= 19.5

Thus, median is 19.5.

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