Mean, Median, Mode & Range
Calculate the mean, median, mode and range of a list of numbers.
Results
- Mean
- Median
- Mode
- Range
- Count
- Sum
- Minimum
- Maximum
How we calculated this
Sorted values
Worked example
Inputs: 2, 4, 4, 6, 8. Mean: (2 + 4 + 4 + 6 + 8) ÷ 5 = 24 ÷ 5 = 4.8. Median: the middle of the sorted values is 4. Mode: 4 occurs twice, more than any other value. Range: 8 − 2 = 6.
How it works
Mean is the sum of the numbers divided by how many there are. Median is the middle value once the numbers are sorted, or the average of the two middle values when there is an even count. Mode is the most frequently occurring value. If every number occurs equally often, including when every number is different, there is no mode and the result says "No mode". If several numbers are tied for most frequent, all of them are shown, not just one. Range is the highest value minus the lowest. A figure that six decimal places do not capture exactly is shown with "≈". If any entry cannot be read as a number, the whole calculation stops and tells you which entry to fix. Because a comma also separates entries, a number written with a thousands separator, such as 1,000, could be read two ways and is rejected rather than guessed at: enter 1000, or put a space after each comma.
What this result means
The mean, median, mode and range describe the centre and spread of your data set in four different ways.
Common mistakes
- Expecting a mode when every number is different. If no value occurs more often than any other there is no mode, and this tool says so rather than listing every value.
- Typing a number with a thousands separator, such as 1,000. The comma also separates entries, so 1,000 could be one number or two; it is rejected as ambiguous. Enter 1000, or put a space after each comma to separate numbers.