Statistics • Full Descriptive Summary
Statistics Calculator
Confidence intervals, hypothesis testing, and descriptive statistics
Confidence Interval
Z-Test
T-Test
Descriptive
Confidence intervals, hypothesis testing, and descriptive statistics
Enter a data set and get a full descriptive statistics summary in one place — mean, median, mode, range, variance, standard deviation, and more — instead of calculating each measure separately.
This calculator runs your data set through the standard descriptive statistics formulas: the mean (sum divided by count), median (middle value when sorted), mode (most frequent value), range (max minus min), variance (average squared deviation from the mean), and standard deviation (the square root of variance).
No single statistic tells the whole story. Mean and median together reveal whether a data set is skewed (a big gap between them suggests outliers pulling the mean). Standard deviation reveals how spread out the values are around that center. Looking at the full set of measures together gives a much more complete picture than any one number alone.
Comparing them reveals skew. If mean and median are close, the data is roughly symmetric. If they differ a lot, the data is skewed by outliers — median tends to be the more reliable 'typical value' in that case.
Variance is the average squared deviation from the mean, expressed in squared units (which can be hard to interpret directly). Standard deviation is the square root of variance, bringing the measure back into the original units of the data, which is why it's more commonly reported.
Yes — the calculator computes both population and sample versions of variance and standard deviation, since the correct formula depends on whether your data represents an entire population or a sample drawn from a larger one.