Average Calculator (Mean, Median, Mode, Range)
Mean, median, mode, and range are the four most common ways to summarize a list of numbers: the mean is the sum divided by the count, the median is the middle value once sorted, the mode is the most frequently occurring value, and the range is the difference between the largest and smallest values. Toolverge computes all four at once from a comma or newline separated list, which covers the vast majority of "find the average" questions.
How it works
- Paste a list of numbers separated by commas, spaces, or newlines.
- The calculator sorts, sums, and tallies frequency to derive all four statistics.
- Results update instantly with no server call.
Formula mean = Σx / n; median = middle value(s); mode = most frequent value(s); range = max − min
Frequently asked questions
How do you calculate the average of a list of numbers?
Add all the numbers together and divide by how many there are — that is the mean.
What is the difference between mean and median?
The mean is the arithmetic average; the median is the middle value when the numbers are sorted, which is less affected by extreme outliers.
What if there is no mode?
If every value appears exactly once, there is no mode, and the calculator reports "none".
Can there be more than one mode?
Yes. If two or more values tie for the highest frequency, all of them are reported as modes.
What does range tell you?
Range is the spread of the data — the difference between the highest and lowest values in the list.