Average Calculator

Average Calculator is an online tool that quickly finds the average of any set of numbers. It not only provides the final result but also displays useful terms such as the total sum, count of numbers, the largest value, and the smallest value in the data.

Our average value calculator gives a step-by-step solution using the average formula. This calculator also has the option to copy or download the result in PDF format for future use.

What is Average?

The average is one of the most common ways to represent central tendency of data. It gives a single value that shows the “center” or “typical” number in a collection of data. It can be calculated by adding up all the numbers in the set and dividing the sum by the total count of numbers.

Average, also referred to as the mean or arithmetic mean. It provides a central value that simplifies the comparison, analysis, and understanding of data.

Average Formula

The average formula, which is used to show the most typical number in the dataset:

Average Formula

Breakdown of the average formula:

Sigma notation means summation of all data values.
n is the total number of values.
x̄ represents the average.

How to Calculate Average?

If you want to know how to find the average, simply follow these steps:

Write down all the numbers.
Add them together to find the total.
Count how many numbers (n) you have.
Divide the total sum by the count (n) of numbers.
This will give you the average of the numbers.

Example:

Find the average of the following data set.

10,10,34,23,54,9

Solution:

To manually calculate the average of numbers, follow these steps.

Step 1: Add all the given numbers.

9+10+10+23+34+54 = 140

Step 2: Count how many numbers n you have.

n = 6

Step 3: Divide the total sum by the count (n).

9+10+10 +23+34+54 / 6

Step 4: The average of the numbers is:

9+10+10 +23+34+54 / 6

Average = 140 / 6 = 23.3333

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Average Calculator

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