# Arithmetic Mean Calculator

With the help of this online arithmetic mean calculator tool, you can quickly determine the average or mean of a large set of numerical numbers.

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Arithmetic mean is sometimes shortened to the word “mean.” One of the three averages used in statistics (the other two are the median and the mode).

The letter ‘X̄’ stands for mean. Mean is frequently wrongly referred to as average. Generally, arithmetic mean is used to represent collection of quantities or a group.

We have covered the arithmetic mean in great detail here. You’ll discover the formula for calculating the arithmetic mean, and we also cover examples with solutions.

## How to Use Arithmetic Mean Calculator

• Simply enter the numbers in the first field to determine the arithmetic mean.
• A comma should be used to separate the numbers (for example: 1,5,9,7,2)
• The calculator will automatically display the mean for the entered values once you have entered the data values.

## Arithmetic Mean Formula

The arithmetic mean calculation formula is fairly simple. It can be calculated by dividing the sum of all observations by the total number of observations.

## Solved Examples

With the use of two real-world examples and their solutions, we have attempted to demonstrate the general concept of calculating the arithmetic mean.

Example

1. The lengths of six random wooden sticks are as follows: 2ft, 7ft, 4ft, 5.5ft, 3.2ft, and 9.2ft. Determine the average (mean) length of the sticks using the arithmetic mean formula.

Solution :

observation values (xn) = 2, 7, 4, 5.5, 3.2, 9.2
total number of observation values (n) = 6 nos.

Using the arithmetic mean formula,

Arithmetic Mean = ( x1 + x2 + x3 + x4 + x5 + x6 ) / n
Arithmetic Mean = (2+7+4+5.5+3.2+9.2) / 6
Arithmetic Mean = 30.9 / 6
Arithmetic Mean = 5.15ft

The average mean length of the sticks is 5.15ft.

Example

2. The data presented below represents the number of engineering books issued in a public library on seven different days: 3, 14, 2, 11, 9, 20. Determine the average number of books issued.

Solution

observation values (xn) = 3, 14, 2, 11, 9, 20, 25
total number of observation values (n) = 7 nos.

Using the arithmetic mean formula,

Arithmetic Mean = ( x1 + x2 + x3 + x4 + x5 + x6 ) / n
Arithmetic Mean = (3+14+2+11+9+20+25) / 7
Arithmetic Mean = 84 / 7
Arithmetic Mean = 12 books

The average number of books issued is 12.