# Mean Calculator

Enter the data values in the given input box and hit on the calculate button to find the mean of given data using a mean calculator.

## Mean Calculator

Mean calculator is used to measure the central tendency of the large/small data set. It also measures the average of the data which is separated by a comma.

## What is the mean?

In mathematics, the mean is the average value of the given data set. It is determined by adding all numbers in the data set together then the total sum is divided by the total number present in the data set. To find the Mean is similar to determining the arithmetic mean of the large data set.

The mathematical notation used for the mean is “” and its mathematical formula can be stated as,

`x̅ = Mean = Σx/n`

Where,

• `Σx` = Sum of all values in the data set
• `n` = total number of values

## How to calculate the mean of a data set by using a formula?

Follow the below solved examples to find the mean of the given data values.

Example 1:

Find the mean of the given data set “13, 24, 12, 35, 20, and 15”.

Solution

Step 1: Write a total number of values and data sets from the above question.

n = 6,                data set = {13, 24, 12, 35, 20, 15},                   x̅ =?

Step 2: Putting all values in the mean formula after simplifying gets results.

x̅ = Σx/n

= {13 + 24 + 12 + 35 + 20 + 15} / 6

= {119} / 6

x̅ = 19.83

Example 2:

Determine the mean of the given data set “1.9, 1.7, 1.3, 15, and 10”.

Solution

Step 1: Arrange the data set from least to greatest number and write the total number from the above question.

n = 5,                data set = {1.3, 1.7, 1.9, 10, 15},                      x̅ =?

Step 2: Put all values in the mean formula and simplify to get the required results.

x̅ = Σx/n

= {1.3 + 1.7 + 1.9 + 10 + 15} / 5

= {29.9} / 5

x̅ = 5.98