# Sample Mean Formula

Sample mean is the mean of the collected data. To find the mean or the average of a collection of the sample, then we use the sample mean formula. For example, we might need to find the average size of the t shirt of a particular class, then we use the sample mean formula. The sample mean of the collected data is calculated by adding the numbers and then dividing the number of data collected.

Sample mean formula is given below:

\[\large \overline{x}=\frac{\sum_{i-1}^{n}x_{i}}{n}\]

Where,

$\bar{x}$ = sample mean

$\sum_{i=1}^{n}x_{i}$ = x_{1}+x_{2}+….+x_{n
}*n* = Total number of terms

x_{1}, x_{2…….}x_{n }are different values.

### Solved Examples

**Question 1: **The total marks obtained by few students in mathematics exam are 101, 161, 155, 96 and 83. Evaluate the sample mean marks ?

**Solution:
**Mean $\bar{x}$ = $\frac{\sum_{i=1}^{n}x_{i}}{n}$

Total number of terms(

*n*) = 5

Mean = $\bar{x}$ = $\frac{101 + 161 + 155 + 96 + 83}{5}$

= 119.2