# Formulas To Find Averages

## General Definition Averages:

An average is defined as the sum of n different units divided by n numbers of the units.

For example:
What will be the average weight of three boy, respective weight are 46,54,52 ?
Solution– (sum of numbers/ total numbers)
46+54+53 = 153/3
= 51.

## Basic Averages Formulas:

Mathematically, it is defined as the ratio of summation of all the numbers to the number of units present in the list.

 Average = x1 + x2 + x3 + x4 +………… xn n

or

 Average  = Sum of Numbers Number of Units

## Average Speed and Velocity Formula:

• Average Speed : It can be defined as total distance travelled by a body in definite interval of time.
Average speed is calculated using the below formula Average Speed = Total Distance Total Time

Also , Formula to calculate Average speed when X travels at speed ‘a’ and ‘b’ for the same amount of time is

 Average Speed = a + b 2
• Average Velocity :It can be defined as total displacement divided by total time.
We calculate Average Velocity using the below formula : Average Velocity = Displacement Total Time

## Formula of Averages Related to Numbers:

• Average  of ‘n’ consecutive Natural Numbers n +1 2
• Average of the square of consecutive n natural numbers (n +1)(2n +1) 6
• Average of cubes of consecutive n natural numbers n(n +1)2 4
• Average of n consecutive even numbers = (n+1)
• Average of consecutive even numbers till n n + 1 2
• Average of n consecutive odd numbers = n
• Average of consecutive odd numbers till n n +1 2
• Sum of 1st n even consecutive natural numbers is n(n + 1)
• Sum of 1st n odd consecutive natural numbers is n2

Read Also: Tips and Tricks to solve Average Of Number question 