Online calculator to find the statistical mean, median and mode for the given set of data. This calculator also gives you the minimum, maximum, count and sum of the elements of the dataset.

Enter the numbers separated by commas and press the **Calculate** button to get the result.

This **Statistical Mean, Median and Mode Calculator** takes a dataset of comma separated numbers and calculates the statistical mean, median and mode of the data set. This calculator also calculates the **minimum** value, **maximum** value, **count** of elements in the dataset and the **sum** of the numbers in the set.

- Enter the Data Set in comma separated format.
- Press the Calculate button to get the result.

Arithmetic mean is the average of the collection of numbers (dataset). It is calculated by adding all the numbers in the collection and divided by the count of numbers in the collection. i.e. mean is the average of numbers in the dataset.

Let's call the collection of numbers { x_{1}, x_{2}, ... , x_{n} } as x. The arithmetic mean be x.

The formula to find arithmetic mean x is:

Example:

If x = { 1, 2, 3, 4, 5},

then n = 5.

So, mean x = ( x_{1} + x_{2} + ... + x_{n} ) / n = (1 + 2 + 3 + 4 + 5) / 5 = **3**

Median is the middle value of the given dataset of numbers arranged in an order form lower to higher value.

Consider a data set x = { x_{1}, x_{2}, ... , x_{n} }.

If "n" is an odd number (i.e. the dataset has odd number of elements) then:

Example:

If x = { 1, 2, 3, 4, 5},

then n = 5.

So, Median of (x) = x_{(n + 1) / 2} = x_{(5 + 1) / 2} = x_{3} (i.e. 3rd element) = **3**

If "n" is an even number (i.e. the dataset has even number of elements) then:

Example:

If x = { 1, 2, 3, 4, 5, 6},

then n = 6.

So, Median of (x) = [x_{(n / 2)} + x_{(n / 2) + 1}] / 2 = (x_{3} + x_{4}) / 2 = (3 + 4) / 2 = **3.5**

In mathematical statistics, the value which appears most often in the given collection of numbers is called a mode of the data set. Based upon the number of modes, a data set can have one mode (unimodal) or multiple modes (bimodal, trimodal or multimodal).

In the dataset {1, 2, 3, 4, 5, 4, 2, 2}, you can see that element 2 is repeated the most number of times. So the mode of this dataset is **2**.

In the dataset {1, 2, 3, 4, 5, 4, 2, 2, 4}, you can see the elements 2 and 4 are repeated the most number of times, three times each. So the modes of this dataset are **2, 4**.

In the dataset {1, 2, 3, 4, 5, 4, 2, 2, 4, 1, 1}, you can see the elements 1, 2 and 4 are repeated the most number of times, three times each. So the modes of this dataset are **1, 2, 4**.

In the dataset {1, 2, 3, 4, 5}, all the elements are equally spread. So, there is **no mode** in this dataset.

The smallest value in the dataset is the minimum of the dataset.

The largest value in the dataset is the maximum of the dataset.

Count is the number of elements in the dataset.

The sum of the dataset is the total of all the elements in the dataset.

If the dataset is represented as { a_{1}, a_{2}, ... , a_{n} }, then, sum = a_{1} + a_{2} + ... + a_{n}.

Sum = |

- C# program to calculate mean.
- C# program to calculate mean.
- C# program to calculate mode.
- More about arithmetic mean at wikipedia.

Page Last Modified On:** Oct 03, 2022 **

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