# Find the mean, me

To find mean, we will solve by direct method:

We have got

Σfi = 50 & Σfixi = 3120

mean is given by

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 36, so the corresponding median class is 60 - 80 and accordingly we get Cf = 24(cumulative frequency before the median class).

Now, since median class is 60 - 80.

l = 60, h = 20, f = 12, N/2 = 25 and Cf = 24

Median is given by,

= 60 + 1.67

= 61.67

And we know that,

Mode = 3(Median) – 2(Mean)

= 3(61.67) – 2(62.4)

= 185.01 – 124.8

= 60.21

Hence, mean is 62.4, median is 61.67 and mode is 60.21.

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