# Sample Mean Formula

Sample mean formula is the formula to find 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.

## What is Sample Mean Formula?

Sample mean formula is given below:

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

Where,
= sample mean

$$\begin{array}{l}\sum_{i=1}^{n}x_{i} = x_1+x_2+….+x_n\end{array}$$

n = Total number of terms
x1, x2…….xn are different values.

## Solved Example on Sample Mean Formula

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

Solution:
Mean,

$$\begin{array}{l}\bar{x} = \frac{\sum_{i=1}^{n}x_{i}}{n}\end{array}$$

Total number of terms(n) = 5

Mean,

$$\begin{array}{l}\bar{x} = \frac{101 + 161 + 155 + 96 + 83}{5}\end{array}$$

= 119.2

#### 1 Comment

1. Yunusa Idris Hamzat

Very nice