**Note**
- Enter the values of the numbers seperated by commas whose average need to be found Example 2,3,4

- Click on the calculate button.

**Formula And concept used**
Mean is the sum of all the values divided by the number of values
$ Mean = \frac {x_1 + x_2 + x_3 +..+x_n}{n}$

**Median** is the middle-value in the list of numbers which is derived by sorting the list by ascending order and then select the middle one.

**Mode** is the value which is repeated maximum times.

**Range** is the difference of maximum and minimum value in the set

### Mean , Median ,Mode and Range Calculator

## What is Mean, Median, Mode and Range?

Mean, Median, Mode and Range are measure of central tendency in statistical values of the data.It is defined as below

**Mean** is the sum of all the values divided by the number of values

$ Mean = \frac {x_1 + x_2 + x_3 +..+x_n}{n}$

**Median** is the middle-value in the list of numbers which is derived by sorting the list by ascending order and then select the middle one.

**Mode** is the value which is repeated maximum times.

**Range** is the difference of maximum and minimum value in the set

**Example of Few questions where you can use this formula**

**Question 1**

Find the Mean, Median, Mode and Range of 1,3,3,4,5,5,6,2,3,4

**Solution**

Lets first arrange the dataset in ascending order

Ascending order will be

1,2,3,3,3,4,4,5,5,6

Now Mean is calculated as

$Mean = \frac {x_1 + x_2 + x_3 +..+x_n}{n}$

$Mean = \frac { 1 + 2 + 3 + 3 + 3+ 4 + 4 + 5 + 5 + 6}{10} = 3.6$

Now Mode is the value which is repeated maximum times.So mode is 3

Now for median, Since the data count is even, Median will be given by average value of n/2 and n/2 + 1 i,e 5th and 6th number

$Median =\frac { 3 + 4}{2} = 3.5$

Range is difference between max and min

Range = 6 -1 = 5

**Question 2**

Find the Mean of 164,156,155,145,106,189,211

**Solution**

Mean is calculated as

$Mean = \frac {x_1 + x_2 + x_3 +..+x_n}{n}$

$Mean = \frac { 164 + 156 + 155 + 145 + 106+ 189 }{6} = 152.5$

**Question 3**

Find the Median of 11,10, 11, 12, 13,13, 12, 11, 15

**Solution**

Lets first arrange the dataset in ascending order

Ascending order will be

10,11,11,11,12,12,13,13,15

Now for median, Since the data count is odd,Median will be given by middle number

i.e 12

## How Mean, Median, Mode and Range Calculators works

- First the data is arranged in ascending order

- Now mean is calculated using the formula

$ Mean = \frac {x_1 + x_2 + x_3 +..+x_n}{n}$

- Now if the number of values are Odd, Median is calculated as the Middle value in the ascending array

- If the numbers of values are even, then median is the average value of n/2 and n/2 + 1 values in the array

- Mode is value in data which is repeated maximum times.

- Range is simply calculated using the first and last value in the ascending array

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