# Mean, Median, Mode, & Range Calculator

Mean:
76.5
Median:
78.0
Mode:
60
Range:
30
Geometric Mean:
75.59644721744216
Harmonic Mean:
74.66666666666667
Largest:
90
Smallest:
60
Count:
4

This calculator gets the mean, median, mode and range from a list of numbers. To use it, paste your numbers into the input field at the top, select how each number is separated (commas, newlines or spaces) and click the "calculate" button to get the result.

This tool also gives you some extra info about sets of numbers such as the geometric and harmonic mean and the largest and smallest values.

## Calculating the Median

The median is the "middle" of a sorted list of numbers. To calculate it, put the numbers in order then find the centre number. If the list has an even amount of numbers and therefore two center numbers, add them together and divide the result by 2 to get the median.

Example:

`9, 4, 6, 8, 5, 1`

Put the numbers in order:

`1, 4, 5, 6, 8, 9`

Add 5 and 6, then divide the result by two:

`(5 + 6) / 2 = 5.5`

The median is 5.5

## How to Calculate the Mean

To calculate the mean add up all the numbers, then divide by how many numbers there are.

Example:

`9, 4, 6, 8, 5, 1`

Get the sum, then divide by the count:

`(9 + 4 + 6 + 8 + 5 + 1) / 6 = 5.5`

The mean is 5.5.

## How to Calculate the Mode

The mode is the number that appears the most often. The easiest way to find the mode is to order the numbers and find which one has the most instances.

Example:

`9, 4, 6, 8, 5, 1, 6, 4, 6`

Order the numbers:

`1, 4, 4, 5, 6, 6, 6, 8, 9`

There are 3 instances of 6, therefore 6 is the mode.

## Calculating the Range

The range is the difference between the largest and smallest values.

Example:

```9, 4, 6, 8, 5, 1

9 - 1 = 8```

If your list contains a small amount of very large or small values relative to the rest, in those cases it may be worth using interquartile range.

## Related      