Calculate mean, median, and genuinely repeated modes from one strictly parsed finite list, with count, extrema, and sorted audit output.
A quick decision brief for this specific tool
One complete list of up to 1,000 finite numbers separated by commas, semicolons, or whitespace
Mean, ordered-position median, genuinely repeated mode values or no mode, plus count, sum, extrema and sorted audit trail
Rejects the whole list if any token is invalid, uses compensated summation for the mean, sorts for the median, and reports modes only when the highest frequency exceeds one
Choose your path
Summarize one complete finite list with mean, median, and genuinely repeated mode values without silently discarding bad tokens.
See how ordering and frequency affect the three measures.
Enter one complete small dataset and inspect mean, median, mode, count, and sorted values.
Gets mathematically distinct location measures with no fabricated mode.
Detect a bad token instead of losing it silently.
Paste the full list using supported separators and correct any named invalid token.
Knows every entered token was either included or the whole list was rejected.
Avoid treating one location statistic as automatically representative.
Compare mean and median, then review the distribution-context note.
Uses spread, shape, extremes, and subject context before selecting a summary.
Outputs and checklists are planning aids. Review the linked current authorities and the records, terms, instructions, and requirements that apply to your exact situation before a consequential decision.
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Comma, semicolon, and whitespace separators are accepted, but any nonfinite or invalid token rejects the entire list rather than changing its membership.
Mean uses a compensated sum divided by count; median uses the ordered middle position or pair; mode uses the greatest frequency only when that frequency exceeds one.
Mean = Σx/n; median = ordered middle; mode = greatest repeated frequencyThe result also shows count, sum, extrema, and sorted values. Location measures do not describe spread, shape, sampling quality, or causal meaning.
Updated: August 2026
A student verifies a mean and median while correctly seeing no mode instead of every value mislabeled as modal.
An analyst checks a list where two values share the highest repeated frequency and retains both modes.
A researcher compares mean and median, then inspects distribution shape and extreme values before choosing a summary.
Report no mode when no value repeats; a mode must have a repeated greatest frequency in this finite-list tool.
Correct the named invalid token so the summary represents the complete intended dataset.
Paste one complete dataset of up to 1,000 finite numbers. Invalid tokens reject the whole list, and an all-unique dataset correctly reports that no mode exists.