## Mean, Median, Mode Range Calculator

 Mean x Median x Mode x Range x Largest x Smallest x Count x Sum x

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# Mean, Median, Mode and Range Calculator

### Introduction

Mean, median, mode, and range is some of the important concepts of Statistics. We all know that statistics is the subject that deals entirely with data or numbers and their arrangement and study. When we have a lot of data that needs to be studied or analyzed, it is important to have certain parameters that would make our study better.

Statistics is the grammar of science. – Karl Pearson.

### What does Central Tendency imply?

Before moving to know about mean, median and mode, we need to get an understanding of the term that has very relevance about these three terms – The Central Tendency.

• A central tendency is a statistical term that represents the central point of a given set of data.
• It is an indication about where most of the values of the given data distribution fall into.
• You can imagine a central tendency as a point around which all the values of the given data set cluster around.

Now, mean, median, mode, and range are such central tendencies that give an overall idea about the data of the given data set. Each of these has a different technique for its calculation, and each conveys a different picture of the given data set. Let us understand this better as we move further now.

#### Mean

This is more familiar to all of us. We have been used to calculate the average of a given set of values, and this average is called Mean in statistics.

Mean = Sum of all the values or numbers in the data set divided by the total number of the items in the data set.

#### Median

A given data set may contain values of different ranges. They can be arranged in such a way that they are either in ascending order or descending order.

When you arrange a given data set, either in ascending order or descending order, the middle most value is the median of the given data set.

Median = Middlemost term of a given data set when its values are arranged in either ascending or descending order.

Note: If the number of total terms is even, then the average of the two middle numbers is the median of the given data set.

#### Mode

In a given data set, there can be many values that are repeating themselves or occur many times throughout the data set. Such a number or value that repeat the highest number of times in a given set of data is called its mode.

Mode = The value or the item that is repeating the highest number of times in the given set of data.

#### Range

It is the difference between the largest value and the smallest value of a given data set.

Range= Biggest Value – Least value

Example

Consider a sample of data as shown below: 2, 5, 3, 6, 2, 6, 7, 9, 1.
For this set of data, the values of mean median and mode are as follows:
Mean = (2 + 5 + 3 + 6 + 2 + 6 + 7 + 9 + 1 ) / 9 = 45 / 10 = 4.5
Median = Middle value of (1,2,2,3,5,6,6,7,9) = 5
Mode = Most repeated values of (1, 2, 2, 3, 5, 6, 6, 7, 9) = ( 2, 6 )
Range = (Biggest value) 9 – (Least value) 1 = 8

Note: The same calculations hold good even if the values in the given data set are in fractions or decimal values. Need help on fractions or decimal values? Check our online free fractions calculator.

Mathematics is not about numbers, equations, computations, or algorithms; it is about understanding. – William Paul Thurston

### Practical Applications of Mean, Median, Mode, and Range

These central tendencies find applications in many calculations of statistics. In real time, for example, consider a data center. It contains much equipment such as servers, cooling equipment, fans, etc. that consume electrical power. Sensors and intelligent power units use these central tendencies to estimate various statistics of power consumed across a given rack of servers and other electrical equipment in a data center.

By the way, have you known various aspects that are considered while calculating electricity cost? Check them at our online free electricity cost calculator.

### How to use CalculatorHut’s Mean, Median, Mode and Range calculator?

This online free Mean, Median, Mode and Range calculator from CalculatorHut lets you calculate these values for a given set of data. You can enter the values of the data set that is with you and calculate these central tendencies very easily.

You can have this as a widget on your blog or website and let you readers know how much their device would show up in the monthly electricity bill. Mail us at [email protected] for a free and customized widget. CalculatorHut also has its app with 100+ calculators on various themes – health calculators, finance calculators, vehicle calculators, maths calculators, physics calculators, chemistry calculators, and many more. Download our free app and carry the world of calculations in your pocket.

Let us know if you want us to add any other calculator into our range. We would be happy to serve you. Happy calculating!!

In your real life, don’t be Mean! Be Median or Mode!!