Calculate the med

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 and convert it into exclusive - type by adjusting from both ends of a class.

So, N = 340

⇒ N/2 = 340/2 = 170

The cumulative frequency just greater than (N/2 = ) 170 is 199, so the corresponding median class is 32.5 - 39.5 and accordingly we get C_f = 131(cumulative frequency before the median class).

Now, since median class is 32.5 - 39.5.

∴ l = 32.5, h = 7, f = 68, N/2 = 170 and C_f = 131

Median is given by,

⇒

= 32.5 + 4.014

= 36.51

Thus, median is 36.51 years.