Arithmetic Mean Calculator

Enter a set of numbers to calculate their average.

Calculate the Average of a Set of Numbers

Result

What Is the Arithmetic Mean?

The arithmetic mean, commonly referred to as the average, is one of the most frequently used measures of central tendency. It provides a way to describe the central value of a dataset by dividing the sum of all data points by the total number of data points. The formula is: \( A = \frac{\sum_{i=1}^{n} x_i}{n} \) Where: \( n \) is the total number of data points, \( x_i \) represents each individual data point.

How to Calculate the Arithmetic Mean?

Steps:

Add all the numbers in the dataset to calculate the total sum.

Divide the total sum by the number of data points to get the arithmetic mean.

Examples

Example 1: Calculate the Average of Numbers from 20 to 30

Solution:

1. Calculate the sum:

\( 20 + 21 + 22 + 23 + 24 + 25 + 26 + 27 + 28 + 29 + 30 = 275 \)

2. Arithmetic Mean:

\( A = \frac{275}{11} = 25 \)

Example 2: Calculate the Average of 1, 5, 10, 15, and 20

Solution:

1. Calculate the sum:

\( 1 + 5 + 10 + 15 + 20 = 51 \)

2. Arithmetic Mean:

\( A = \frac{51}{5} = 10.2 \)