Statistics from a list
Paste your numbers, one per line or separated by commas, and the whole summary is worked out.
10 numbers read.
Mean
14.8
Median: 15 · Count: 10
Centre
- Sum148
- Mode15
- Minimum9
- Maximum22
- Range13
Spread
- Standard deviation, sampleDivides by the count minus one, for a sample drawn from a larger set.3.7058512
- Standard deviation, population3.5156792
- Variance, sample13.733333
- Variance, population12.36
Quartiles
- First quartile12.5
- Median15
- Third quartile16.5
- Interquartile range4
Outliers
No value falls outside the boundary.
The boundary sits one and a half interquartile ranges outside the first and third quartile.
Sorted numbers
9, 11, 12, 14, 15, 15, 15, 17, 18, 22
How it works
The mean is the sum divided by the count. It is sensitive to extremes: a single very large value pulls the mean of the whole list up with it.
The median is the middle value once the numbers are sorted. It does not care how extreme the largest value is, which makes it a better fit for salaries, prices and anything with a long tail.
The mode is the most common value. If several are equally common they are all shown, and if every value is equally common there is no mode.
The standard deviation measures how far the numbers spread around the mean. Two are shown: the sample deviation, which divides by the count minus one, and the population deviation, which divides by the count.
The difference matters. If you measured everyone in the group, use the population figure. If you have a sample and want to say something about the whole, use the sample figure, which is slightly larger precisely to allow for the sampling.
The quartiles split the list into four equal parts. The distance between the first and third quartile, the interquartile range, describes where the middle half of the values sits.
Outliers here are values more than one and a half interquartile ranges outside the box. That is the boundary used in box plots, and it is a rule of thumb rather than proof that anything is wrong.