Mean, Median, Mode and Range Calculator
Paste a list of numbers to get the usual measures of the centre and the range.
Share sends a link that reopens these numbers. Copy details pastes the full breakdown as a list.
The formula
mean = sum ÷ count median = middle value, or the mean of the middle two range = largest − smallest midrange = (largest + smallest) ÷ 2
The mode is the value that appears most often. There can be several, or none.
What to watch out for
The mean uses every value, so one extreme value can move it a long way. The median only depends on the order, so it stays put. The midrange uses just the two extremes and is the most easily thrown off.
Frequently Asked Questions
What is the median of an even number of values?
The mean of the middle two. For 1, 3, 5, 9 it is 4.
What if no value repeats?
Then there is no mode, and the same goes if every value appears equally often. If only some values tie for most frequent, all of them are modes.
Should I use the mean or the median?
Use the median when a few extreme values would distort the picture. For 2, 3, 3, 4, 100 the mean is 22.4 but the median is 3.