Statistics Calculator

Statistics Calculator

Summarize a list of numbers with standard descriptive statistics. Use this when you need counts, totals, min/max, range, central tendency, dispersion, tail behavior, or the full sorted sample in one call.

Capabilities

• Central tendency: Arithmetic mean, median, and mode.
• Spread: Minimum, maximum, range, population and sample variance, population and sample standard deviation.
• Distribution shape: Percentiles at 25th, 50th, 75th, 90th, 95th, and 99th (inclusive statistics.quantiles with n=100).
• Full ordering: Returns sorted_data alongside the aggregates.

Gotchas

• Mode is a list: Multimodal samples return every most-frequent value (not a single scalar). A unique mode is a one-element list.
• Two variance flavors: variance.population is statistics.pvariance; variance.sample is statistics.variance when there are at least two points. For a single value, sample variance and sample standard deviation are 0 (undefined in strict statistics; chosen for stable JSON output).
• Percentiles: Computed via Python's inclusive quantile definition; small samples still yield interpolated cut points.