Mean calculation super fast tricks: Statistics Math

Mean Calculation 

Hi here some super fast tricks of statistics are given to find mean.

Basic Concept :

Mean of given Data =(Sum of all given Data)÷number of given Data

Trick -1

Mean of first n natural number=(n+1)÷2

Ex- What is the mean of 1,2,3,4,........30?

Ans. Mean=(30+1)÷2

                   =31÷2=15.5

Trick -2

If n number of given Data are in A.P then what is it's Mean?
How to calculate the mean if n number of given Data are in A.P
Short trick:( sum of first and last term)÷2

                     

Ex- What is the mean of 15,20,25,30,.........85? 

Ans-Mean=(15+85)÷2=50

Trick -3

What is the mean of first n odd natural number?

Mean of first n natural odd number=n 

Ex-What is the mean of first 11 odd natural number?

The mean of first 11 odd natural number=11×11=121

Trick -4

What is the mean of first n even natural number?

Mean of first n natural odd number=n+1

Example - What is the mean of 2,4,6,8......40?

Ans-     20+1=21

Trick -5

What is the mean of first n whole numbers?

Ans-      (n-1)÷2

What is the mean of first 20 whole numbers?

Ans- (20-1)÷2=19/2=9.5

What is the mean of first 20 multiples of 3 ?

Ans- (3+60)÷2=63÷2=31.5

Trick -6

What is the mean of x,x+2,x+4,x+6,x+8,x+10 ?

Short trick: x+(10/2)=x+5

Explanation: Mean=(x+x+2+x+4+....+x+10)÷6

                                  =(6x + 30)÷6

                                  =x+5