Statistics Calculator
Compute descriptive statistics and z-scores from your dataset. Enter numbers separated by commas, spaces, or new lines.
Results
Count (n)
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Sum
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Mean
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Median
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Mode
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Min
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Max
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Range
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Variance
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Std Dev
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Z-Score
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About Statistics Calculator
This tool computes core descriptive statistics from a list of numbers, including central tendency (mean, median, mode), spread (variance, standard deviation, range), and z-score for any chosen value.
Computed Values
- Mean: average of all values
- Median: middle value when sorted
- Mode: most frequently occurring value(s)
- Variance & Std Dev: measure of spread (population or sample)
- Range: max ā min
- Z-score: how many standard deviations a value is from the mean
How to Use
- Enter your numbers separated by commas or new lines in the input field.
- Choose Population or Sample for variance/std deviation.
- Click Calculate ā all statistics appear instantly.
- Optionally enter a specific value to compute its z-score.
How It Works
The tool parses the input, sorts the numeric array, then calculates each statistic. Population variance divides by n; sample variance divides by nā1 (Bessel's correction) to produce an unbiased estimate of the population variance.
Example
Dataset: 4, 8, 15, 16, 23, 42
Mean = 18, Median = 15.5, Mode = none, Range = 38, Std Dev (pop) ā 12.47.
Frequently Asked Questions
Use population variance when your dataset contains every member of the group you're analyzing. Use sample variance when your dataset is a subset (sample) of a larger population ā the nā1 correction produces a less biased estimate.
A z-score tells you how many standard deviations a value is from the mean. A z-score of 0 means exactly average. A z-score of +2 means 2 standard deviations above the mean. Useful for comparing values across different datasets.
If more than one value appears with the same highest frequency, all of them are reported as modes. If all values are unique (no repeats), the dataset has no mode.
No. All calculations happen entirely in your browser. Your dataset never leaves your device.