
Given :-
- We have given some information in the above table
To Find :-
- We have to find the mean, median and mode of the given data.
Let's Begin :-
For completion of table you should know the basics formulas :-
- For calculating x( mid point)

That is,



[ For more calculation ,Please refer the attachment ]
- For calculating fx
- Multiply frequency and midpoint



[ For more calculation please refer the attachment ]
Now,
We have to calculate mean, median and mode of the given data
For mean
We know that the,
Mean = Sum of all observation / no. of observation
That is

Subsitute the required values,


Hence, The mean of the given data is 9.65
For Median
We know that, For odd numbers

Here,



- Lower limit = 34
- c = 20
- f = 14
- h = 41 - 34 = 7
Subsitute the required values in the above formula :-





Hence, The median of the given data is 36.5 .
For Mode
We know that,

- lower limit = 34
- f1 = 14
- fo = 12
- f2 = 12
- H = 7
Subsitute the required values,







So,
Hence ,The mode of the given data is 37.5 .