# Mean Calculator

Mean Calculator helps to compute the mean or average of the given numbers. The arithmetic mean or simply mean can be defined as the sum of all observations divided by the total number of observations. Mean is one of the measures of central tendency.

## What is Mean Calculator?

Mean Calculator is an online tool that enables you to calculate the mean of a given data set within seconds. Mean is widely used in many fields such as Mathematics, Statistics, Economics, and History. It is the most commonly used measure of central tendency. To use the * mean calculator* enter the values inside the bracket, separated by a comma.

## How to Use Mean Calculator?

Follow the simple steps given below to find the mean of numbers using the mean calculator.

**Step 1:**Go to Cuemath's online mean calculator.**Step 2:**Enter the numbers in the given input box of the mean calculator.**Step 3:**Click on the**"Calculate"**button to find the mean for the given numbers.**Step 4:**Click on the**"Reset"**button to clear the fields and enter new values.

## How Does Mean Calculator Work?

There are three measures of central tendency namely - mean, median, and mode. Mean is the most easily understood and widely used as compared to the other two measures. The mean does not get affected by the position of an observation in the data set. This implies that irrespective of whether the data has been arranged in ascending order or not the mean will remain the same. In contrast, the value of the median changes if the data has not been arranged properly. Extremely small or large terms within the data set greatly impact the mean. Also, we cannot determine the mean just by inspection. A formula needs to be applied to calculate it. One application of the mean is to determine the per capita income of a country's population. The formula given below is used to compute the mean:

**Arithmetic mean or mean = (x _{1} + x_{2} + x_{3}...+ x_{n}) / n**

where n = total number of observations, and x_{1}, x_{2}, x_{3}, . . . , x_{n} = different n terms

## Solved Examples on Mean:

**Example 1**: Find the mean of 2, 8, 11, 25, 4, 7 and verify it using the online mean calculator

**Solution:**

The mean formula is given as (x_{1} + x_{2} + x_{3}...+ x_{n}) / n

n = 6

= (2 + 8 + 11 + 25 + 4 + 7) / 6

= 9.5

**Example 2**: Find the mean of the first 7 even natural numbers and verify it using the online mean calculator.

**Solution:**

The first 7 even natural numbers are 2, 4, 6, 8, 10, 12, 14.

n = 7

The mean formula is given as (x_{1} + x_{2} + x_{3}...+ x_{n}) / n

= (2 + 4 + 6 + 8 + 10 + 12 + 14) / 7

= 56/7

= 8

Similarly, you can use the mean calculator and find the mean for the following:

a) 21,14,16,8,2,4,15,8

b) 25,1,7,15,6,14

c) First 10 odd natural numbers.

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