Mean, Median and Mode Calculator

What this tool does

These three are all called averages and they answer different questions. The mean is the balance point and it feels every value, which is why one huge salary drags it upward. The median is the one in the middle and does not care how extreme the extremes are. The mode is simply the value that turns up most often, and it is the only one of the three that works on things that are not numbers at all. One detail most calculators get wrong: when every value appears exactly once there is **no mode**, and saying so is the correct answer — not reporting the first value in the list. When several values tie, this shows all of them.

Formula

mean = sum ÷ count , median = the middle one , mode = the one that repeats most

Variables

Worked example

Limitations

• Standard deviation and variance are calculated for a sample (dividing by n − 1). For a full population, divide by n instead.
• The calculation runs at full precision and only the display is rounded. If you copy an intermediate value and retype it, small differences can appear.