How this calculation works
Compare three meanings of “typical”: the mean balances the total, the median marks the ordered middle, and the mode identifies the most frequent value. The range adds a simple measure of spread. Their disagreement can reveal skew or repeated values that one average would hide.
Mean = Σx/n. Sort ascending: median is the middle value for odd n or the average of the two middle values for even n. Mode contains the value(s) with the highest repeated frequency. Range = maximum − minimum.
Worked example
This example uses illustrative inputs. Your current result is shown above.
For 2, 4, 4, 5 and 7, sum = 22 and mean = 22/5 = 4.4. The middle value is 4; 4 occurs twice, so median and mode are both 4. Range = 7 − 2 = 5.
Assumptions and limits
- Each entered value counts once, including repetitions and zeros.
- When every value occurs only once, this tool reports “No mode”; tied repeated frequencies can produce several modes.
- The data are numerical and ungrouped. Class intervals and frequency-table weights must not be entered as if they were raw observations.
Questions people ask
Why can the mean differ so much from the median?
A very large or small value changes the sum and therefore the mean. The median depends on order rather than the distance to an extreme value.
Can there be more than one mode?
Yes. If multiple repeated values tie for the largest frequency, all are listed. A mode is not necessarily unique.