# Mean, Median, Mode & Range Calculator

## Calculate Average and Range

## Math Definition

- Mean
- The average of all the data in a set.
- Median
- The value in a set which is most close to the middle of a range.
- Mode
- The value which occures most frequently in a data set.
- Range
- The difference between the largest and smallest data in a data set.

## Example Calculation

Calculate the mean, median, mode and range for 3,19,9,7,27,4,8,15,3,11.

### How to Find the Mean (or Average Value)

To figure the mean, add up the numbers, 3+3+4+7+8+9+11+15+19+27=106 then divide it by the number of data points 106/10=10.6.

### How to Find the Median

In ascending order the numbers are 3,3,4,7,8,9,11,15,19,27. There are 10 total numbers, so the 5th and 6th numbers are used to figure the median. (8+9)/2 = 8.5

If there were 9 numbers in the series rather than 10 you would take the 5th number and would not need to average the 2 middle numbers. The 2 middle numbers only need to be averaged when the data set has an even number of data points in it.

### How to Find the Mode

The only number which appears multiple times is 3, so it is the mode.

### How to Find the Range

To figure the range subtract the smallest number from the largest number 27-3=24.

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