Arithmetic Mean Definition – Formula – Symbol
Arithmetic Mean
Definition:
The sum of the numerical values of each and every observation, that is divided by the total number of observations is equal to “Arithmetic Mean”.
Arithmetic Mean is also called average or mean.
The Arithmetic Mean or mean or average is defined
as,
Symbol: X = (𝚺xi)/n
X = Mean
𝚺 = Addition of all number
xi = All of value of X
n = Number of observations, or Number of items are there.
Sum of observations
Mean = ______________________
Number of observations
How to calculate mean
Example: What is the mean of 1, 2, 5, and 4.
Sum of observations
Mean = ______________________
Number of observations
1 + 2 + 5 + 4
mean = ________________
4
mean = 12/4
mean = 3
There are two steps to calculate mean
1. Step
Add all numbers.
2. Step
Divide by how many numbers are there.
Example: What is the mean of 1, 4, 5, 3, and 7.
1. Step
Add all numbers
1 + 4 + 5 + 3 + 7
= 20
2. Step
Divide by how many numbers are there.
There are total numbers are 5 so, 20 divide by 5
values put in the formula
Sum of observations
Mean = ______________________
Number of observations
mean = 20/5
mean = 5