CalcWhenAverage Calculator — Mean, Median & Mode
For the numbers 4, 8, 15, 16, 23, 42: the mean is 18, the median 15.5, and the sum 108 — three different 'averages', each true, each answering a different question.
How it works
“Average” is three questions wearing one coat, so this calculator answers all of them: the mean (share the total equally), the median (the middle value, unmoved by extremes), and the mode (the most frequent). Sum, range and standard deviation ride along, because together they describe a set of numbers the way a single average never can.
Paste numbers separated however they come — commas, spaces, lines from a spreadsheet column all parse. The Lost numbers above are the worked example; yours will behave better.
The method
Mean = sum ÷ count. Median = the middle value of the sorted list (or the mean of the two middle values for even counts). Mode = the most frequent value. Standard deviation is the population form (dividing by N), the descriptive measure for a complete set.
Frequently asked questions
When is the median better than the mean?
When extremes distort: house prices, incomes, wait times. One mansion among cottages doubles the mean street price while the median barely notices — the median is the “typical” value.
Why does my set have no mode?
Mode needs a repeat. If every number appears once, there is honestly no most-frequent value, and the panel says so rather than picking the first number.
Mean or average — is there a difference?
In everyday speech, none: “average” usually means the mean. Statisticians keep the three separate because data punishes anyone who confuses them.