# 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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