Average Calculator
Enter any list of numbers to find the mean, median, mode, range and standard deviation.
Your Numbers
How This Calculator Works
Mean is the sum of every number divided by how many there are — the everyday "average." Median is the middle value once the numbers are sorted (or the average of the two middle values, if there's an even count). Mode is whichever value appears most often — a data set can have one mode, several (if there's a tie), or none at all if every value is unique. Range is simply the maximum value minus the minimum.
Standard deviation measures how spread out the numbers are from the mean — a small standard deviation means the values are clustered close together, a large one means they're spread wide apart. This calculator shows both the population version (use when your numbers are the entire group) and the sample version (use when your numbers are a sample drawn from a larger group).
Frequently Asked Questions
The mean is the sum of all values divided by how many there are (the everyday "average"). The median is the middle value when the numbers are sorted. The mode is the value that appears most often. All three can be different numbers for the same data set.
Sort the numbers, then average the two middle values. For example, the median of 2, 4, 6, 8 is (4 + 6) / 2 = 5.
The range is the difference between the largest and smallest value in the data set — it gives a quick sense of how spread out the values are.
Population standard deviation is used when your numbers are the entire group you care about. Sample standard deviation is used when your numbers are just a sample drawn from a larger group, and divides by one less to correct for that — it's always slightly larger than the population figure for the same data.