This descriptive-statistics sandbox was generated by Claude (Anthropic) for the STAT 101 course materials. Every number on it is computed in your browser and recomputed on every edit: the mean, the median, the mode, the sample variance with the n − 1 divisor, the standard deviation, the min, max and range, the five-number summary, the interquartile range, and the 1.5×IQR outlier fences. The histogram is a real count of the points into bins, and the box plot's whiskers, box edges and outlier dots are placed from those computed values. Nothing on this page is sketched.

Quartiles use linear interpolation of the order statistics — the method R calls type 7 and NumPy calls "linear" (its default): for a probability p the position on the sorted data is (n − 1)×p, zero-indexed, interpolated between neighbours. “The first quartile” with no stated rule is ambiguous — texts differ, and a different rule moves Q1, Q3 and the fences — so the page states its rule beside the summary rather than hiding it.

Sample variance uses the n − 1 (Bessel) divisor, the unbiased estimator; the n divisor is the maximum-likelihood estimator and is named as such in the equation notes. Seeded presets: mulberry32 (public domain). No number on this page came from a real dataset — the presets are simulations whose shape is chosen and whose draws are reproducible from the seed.