Mean Definition

Mean is defined as the average of any data of multiple numbers. It is pretty simple to find the mean of any type of data (grouped & ungrouped). You can easily find the mean of any data by adding the quantities and dividing them by the number of quantities.

Here is the formula to find the Mean of any data.

Mean = Sum of Quantities / Num of Quantities

It means that you have to add all values given in your question and then divide the answer by the total number of quantities. Let's have a look at the following example for a better understanding.


Example 1:

Find the Mean of 2, 5, 6, 7, 8, and 9.


First, we have to add the quantities.

Sum of quantities = 2 + 5 + 6 + 7 + 8 + 9 = 37
Number of Quantities = 6 

Similarly, you can find the mean of any data with this simple process. This type of mean is also called Arithmetic Mean. You can also read about other types of means on other pages of our website.

Other Types of Mean

  • Geometric Mean
  • Harmonic Mean


Read about Geometric Mean and Harmonic Mean in detail.

Significance of Mean

It is one of the most important measurements in Mathematics and Statistics. In Statistics, we need to know about the central value of data to solve Probability (Insert Link on this word) related questions.

Mean also indicates the central value of any data with a simple process. You can easily find the central value of any data using the above formula. It is pretty simple to memorize the formula and put the values in it.

Representation of Arithmetic Mean

Generally, Arithmetic Mean is represented by putting a bar on Wherever you will see this word with an upper bar, it indicates that the answer is taken by the Mean of the complete data.

How to find the Mean of a Negative Number?

Does not matter whether you have negative integers in your data or positive integers, it will be the same to find the Mean of the data. The only thing that you need to consider is the multiplication of symbols. Let us elaborate on this method through an example.

Example 2:

Find Mean of -2, -3, -5, +7, and -9?


Sum of quantities = (-2) + (-3) + (-5) + (+7) + (-9) = -12
Number of quantities = 5


Mean = -12 / 5 
Mean = -2.14 


What is the Significance of Mean?

It is one of the most important terms of Statistics because it helps the users in solving problems related to Central Tendency.

Does mean have any other name in Math?

Yes, the Mean is also called the Average of a given set of numbers.

How many types of Mean are in Mathematics?

Mean has three main types that are termed Arithmetic Mean, Harmonic Mean, and Geometric Mean.