Here you can find out what the average means, how to use the average calculator and why we need it. In addition, we have simplified the display of average usage through examples.

We can use the average calculator to count averages of various math terms, such as the average of the numbers, the standard of the square root of the numbers, and the average of the square root of the numbers. We can also use the average calculator to calculate averages of measurements, such as the average height of people in a group.

What is average?

The terms average or mean have the same meanings. One of the meanings implies medium quality or quantity. We look at the mean as arithmetic means from a math point of view. In inset theory, the intersection of two sets is the average.

The average has many application areas, for example, the average grade at school, the average age of a group of people, or the average salary of a professional group. We will calculate all these values ​​in the same way. Here we are talking about the average, the most superficial mean values. In addition to the arithmetic mean or the average as it is generally known, other mean values ​​are, of course, calculated differently.

How to Calculate Average?

You can find the mean of two or more elements of a set by summing all the values ​​of the elements and dividing the resulting sum by the number of factors. As in the following example.

The coach of a basketball team measures the height of his players. Calculate the average height of all basketball players. You can count the mean by adding the size of all the players and then dividing the total number of players: 179 + 171 + 177 + 183 + 180 = 890.

The total height of the players is 890, we divide this number by 5 players, and we get an average value of 178. The average body high of the basketball player is 178 cm.

Also, you can use our Average Calculator to count the average height of all basketball players from this example.

So, we use the formula:

\bar{x} = \frac{\sum x}{n} = \frac{x_{1}+x_{2}+…+x_{n}}{n}


x1,2, …n – are the values of the elements in the set
n – number of elements in the set


1. Why do we calculate the average?

The average is information that makes it easier to see the situation. When we have a large amount of data, we need a simplified approach to concise data. The average does not imply precise data but only the direction of our data set.
It is easy to see why the average is so essential. The average determines the mean value of the data set. When we add all the values from the group, we divide the obtained sum by the number of elements from the set. In this way, we get the average. We repeat this calculation for all data sets. We then calculate the average of all phases of the data. The resulting number is the average. We use the average to sort the data from the sets, so the average is therefore necessary. For example, you might want to reach the average height of adults in other countries. This reach is easy to do if you have the average size for each country. 

2. Why are averages misleading?

There is hardly a way to bypass the mean value as a characteristic value for the central tendency of distribution in statistics. However, it is essential to remember that average data can be inaccurate in several ways. If the distribution of results is uneven, the average value may be affected by extreme “deviations.” This deviation can make that one element affect the real situation, so the actual result is far below or above average. Therefore, we should not blindly monitor the average budget but consider more detailed data and identify possible extreme deviations.

3. How do I calculate my grade average?

A grade point average is providing information about how we worked in the school. It shows what kind of average we have from all subjects and can help us better assess our performance. Average grades can be essential, especially for a degree or advancement. Here we will explain how you can calculate the grade point average.
a) It is necessary to add up all the grades. Once you get the result, you move on to the second step.
b) The obtained result of the sum of grades should be divided by the number of degrees.

4. How do I calculate a weighted average?

A weighted average is a question of interest for any student in statistics or math.
a) The values ​​should first be multiplied by the number of points awarded.
b) We add the weighted values.
c) We divide the obtained sum by the total number of grades.
For example, if the data set were {3,5,7}, the weighted average would be (3+5+7)/3+5+7=7.
This key figure, also known as the weighted average, is usually required to compare it with other average values.

5. Is average better than mode?

Average and modes are different terms and therefore they are not suitable for every data type. A well-known average that everyone calculates by adding the values ​​whose mean value you are looking for and dividing by their number. So, if we do not need to add additional discounts ​​to the values ​​for which we are looking for an average, we use the average as the most accurate calculation.
While the mode is the most commonly occurring value in a series of measurements, there may be several modal features. So you do not have to worry about whether your variables are nominal, ordinal, or interval. You only have problems when there are many different characteristics.

6. Can you average averages?

We can calculate the average, but its accuracy is questionable. Calculating the average can be wildly inaccurate. The simplest way is to present the deviations in calculating the average through an example.
If one company has 10,000 employees, with an of women employed, say 2.56. Another company has one employee, with an average number of women employed 1. You may want to know the average number of women used by several companies (2.56 + 1) / 2 or according to employees (10000 * 2.56 +1) / 10001. In both cases, the results are correct but indicate different factors, which is why you should pay attention.

7. What is better, average or median?

Whether we will use the average or the median to calculate the average depends on our data.
Suppose the range of measured values is not very large, the so-called. Outliers (values that deviate significantly from other matters) can lead to the mean value not reflecting the actual position of the value exceptionally well.
In such cases, the median is an alternative. If you sort the measured values by size, the median value is in the middle for an odd number of measured values. Otherwise, we use the average of the two mean measured values as the median. If you find yourself in a situation where you need to calculate the average by the median method, you can use our Median Calculator.