Q. 13.9( 14 Votes )

# In a hospital, th

Answer :

To find median,

Assume Σf_{i} = N = Sum of frequencies,

h = length of median class,

l = lower boundary of the median class,

f = frequency of median class

and C_{f} = cumulative frequency

Lets form a table.

So, N = 140

⇒ N/2 = 140/2 = 70

The cumulative frequency just greater than (N/2 = ) 70 is 115, so the corresponding median class is 45 - 60 and accordingly we get C_{f} = 65(cumulative frequency before the median class).

Now, since median class is 45 - 60.

∴ l = 45, h = 15, f = 50, N/2 = 70 and C_{f} = 65

Median is given by,

⇒

= 45 + 1.5

= 46.5

Thus, median age is 46.5 years.

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