Descriptive statistics summarize data: central tendency (mean, median, mode) and spread (variance, SD, range).
Dataset: 4,7,13,16,21,21,21,30,36,37,38 → Mean 22.18, Median 21, Mode 21.
Standard deviation measures how spread out values are from the mean.
Reach for this tool when characterising data for research, quality control, or business analysis. The results follow standard statistical definitions and are compatible with further inferential analysis.
Many users interpret statistical results without considering the distribution of the data. Standard deviation is most meaningful for roughly normally distributed data — in highly skewed datasets, the median and IQR are more appropriate measures of centre and spread.
A researcher reports descriptive statistics for a survey dataset of 150 responses. Standard deviation is required alongside the mean for any subsequent t-test or ANOVA — the calculator produces both the sample and population variants so the correct one can be cited in the methods section.
Mean = sum ÷ count. Median = middle value when sorted. Median is more robust against outliers.
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