Mean Calculator | Average Calculator
Online Mean Calculator enables you to calculate the mean of complex and large values within a few seconds. This tool can also work as an Average Calculator and helps you in finding the average of large values quickly.
What is Average? What is Mean?
The average is the central calculated value from a list or array of numbers. The sum of all the values divided by the total number of values provides you with the average. This is also known as the Arithmetic Mean.
If you are having a question in your mind, how to find average? Then, we've got you covered. The conventional method of finding the average is as follows:
For instance, you have four numbers, 6,7,9,4, now first, add them, 6+7+9+4 = 26. Now divide this answer with the total number of values, which is 4. The answer to this division will be, 26/4 = 6.5. So, the average of the given numbers is 6.5.
There are various types of averages, but the three most commonly used types are mean, mode, and median. Mean is the most identical to the basic average among them.
The "mean" is the type of average, where you add up all the values and then divide by the number of these values. This is almost similar to the actual and above-discussed definition of the average.
Are Mean & Average the same?
The average is a broad term in mathematics and has escalated in various forms. You can find numerous types of averages that are being used. However, one of the most common types of average is Mean. The formula for finding the mean is almost the same as the average.
How to calculate average with the mean calculator?
- Tally the number of values in your array or list
- Add all of the values to find the sum
- Divide the sum by the total number of values
The mean x̄ of an array is the sum of total values divided by the total number of values.
However, you can get rid of this hassle and pick the easy way to find the mean of a data set by using an online Mean Calculator. The online tool will enable you to save your time and efforts and provide you with accurate results within a flash of an eye.
Types of averages - Mean, Median, Mode
As discussed earlier, the average is further divided into various types, and people are using all of them as per their requirements. But, there are three types that are being used in the educational sector, programming, or even research purposes, which are mean, median, and mode. The methods of finding these types of averages are also different from one another.
How Do You Calculate the Median?
Let's understand the process of finding the median with an example.
The values from which you want to find the median are: 3,7,8,1,5,9,10,6,2
The median is the middle value of the array, so first, we need to arrange the values in numerical order.
Which is, 1,2,3,5,6,7,8,9,10.
The total number of values is 9. 9+1=10, 10/2=5. (5th Number)
Median = 6
How Do You Calculate the Range?
To calculate the Range of a data set of 3,7,8,1,5,9,10,6,2, find the largest number in the list,
which is 10. Now, find the smallest number, which is 1.
To find the range: Largest value – Smallest value = 10 – 1 = 9.
Range = 9.
How Do You Calculate the Mode?
If you want to find the Mode in the same example of data set, 3,7,8,1,5,9,10,6,2, then first you should understand Mode's definition.
The Mode is a value that repeats most of the time in a given data set.
Now, in the given values, 3,7,8,1,5,9,10,6,2. You can see that no value is being repeated. So, there will be no mode for this example.
But, if you have another example, like 8,7,6,8,3,4. Then you can see that 8 is repeating most of the time, so 8 will be the mode in this example.
How does our Mean calculator work?
The process of using our online Mean Calculator/ Average Calculator is simple and straightforward. The following easy steps will enable you to use this online Sum Calculator without any hassle.
- Enter your values on this Mean Calculator by merely writing or copy/pasting it.
- Once you are done with it, select the process you want to apply from the given options. You can find the Mean, Mode, Median, and many more easily on this tool.
- Click on the "Check Average" button to initiate the process.
- Boom! You will get accurate results within a flash of an eye.
Results you get after using our Mean Calculator
Our online Mean Calculator provides you with a vast list of mathematical operations that can be availed easily. They include:
The sum of all the values divided by the total number of values gives you the Arithmetic Mean.
The Geometric Mean is a particular type of average in which we multiply the values and then take a square root (for two values) and a cube root (for three values) etc.
The harmonic mean of a data set is calculated by the division of the number of observations by the reciprocal of each number.
If you want to get the sum of a large data set, then our Sum Calculator is the best option that you can find over the web.
This tool also gives you the opportunity to count the total number of values with a single click on your device.
You can quickly get the Median value of your data set by simply adding all the values and then divide it by two.
The tool allows you to find the largest number in your data set in the results displayed on your screen after the processing.
Once you initiate the process, the smallest number in your data set will also be displayed.
Get the Range of your data set in the results by subtracting the smallest value from the largest value.