Average Calculator

Average calculator

Average calculator is used to find the average value (mean value) of the given data set. This calculator finds the value of the arithmetic mean with steps.

What is average?

In mathematics, the average is the sum of numbers in the data set divided by the total numbers in the data set. Average (A.K.A mean) is a measurement of essential propensity. It tells us which number is the most common in data collection and which number best reflects all of the numbers in the data set.

Formula of Average

The formula of average to find the arithmetic mean is:

Average = Sum of values/Total number of values

Such as:

Average = (a₁ +a₂ +a₃ +….a_n)/n

How to find the average?

It is very simple to find the average of the numbers, just follow the below steps

• Add up all the numbers in the given set
• Divided by the total numbers in the given set

How to calculate the average?

Try the average calculator above to calculate the average value of the given data set in no time. Follow the below examples to evaluate the average of the given data set manually.

Example 1

Find the average of 4,8,12,14.

Solution

Step 1: Add all the values of the given data set.

4 + 8 + 12 + 14 = 38

Step 2: Count total numbers "n" in the given data set.

n = 4

Step 3: Now take the formula of average and put the value of sum and total numbers to evaluate the average value.

Average = Sum of values/Total number of values

Average = 38/4

Average = 9.5

Example 2

Find the average of 5, -9, 8, 14, -4.

Solution

Step 1: Add all the values of the given data set.

5 + (-9) + 8 + 14 + (-4) = 14

Step 2: Count total numbers "n" in the given data set.

n = 5

Step 3: Now take the formula of average and put the value of sum and total numbers to evaluate the average value.

Average = Sum of values/Total number of values

Average = 14/5

Average = 2.8

Some other examples of average

FAQ’s

What are the 4 types of averages in math?

There are four types of averages such as mean, median, mode, and range/midrange. 

• Mean is the most related type of average, that is calculated by adding all values of data and dividing by the number of data, thus is also known as the Arithmetic mean. 

• The median is the middle value of a set of data sets that is useful for separating data into two equal-sized groups. 

• The mode is the most frequent/repeated value in a data set.

• The range is the measure of the spread or distribution of a data set, also known as the midrange due to the average of maximum and minimum value.

How to find average of 4 numbers?

To find average of two or more numbers then add all of them and divide by the total number. So, the average of the four numbers is equal to the sum of numbers divided by “4”.

Why do we calculate average of numbers?

The Average of numbers calculation is used to compare the quantities of the same data, to find the summary of a long data set, and to give an idea of how the data performs as a whole.

Are averages and weighted averages same?

No, averages and weighted averages are not the same because the averages give equal weight to all data points while weighted averages give different weights to different data points. 

Is the average of averages accurate?

No, the average of averages is not accurate because there are chances of error in finding average, most of the time the data are misleading due to the weighted average and number of elements.