Advanced Stats Calculator
One value per entry (commas, spaces or newlines all work; negatives and decimals are fine). Basic metrics such as mean, variance and standard deviation live in the Statistics Calculator.
Entropy log base:
Hypothesized mean mu0:
Decimals:
Separator:
Z score per data point
Download CSV
| No. | Value | Z score |
|---|
Statistics Result
Download CSV
| Metric | Value | Definition |
|---|
Introduction to the tool and how to use it
Advanced statistics calculator: paste a dataset and get the interquartile range IQR, skewness, kurtosis, mode, coefficient of variation, information entropy, T statistic, and the Z-score of every data point in one pass — suited to distribution checks, outlier preview, and an introduction to hypothesis testing.
Definitions are stated explicitly so results match across software:
· Quartiles use linear interpolation (Excel QUARTILE.INC, position = (n−1)×p), IQR = Q3 − Q1;
· Skewness uses sample skewness (Excel SKEW, requires n ≥ 3);
· Kurtosis uses excess kurtosis (Excel KURT; 0 for the normal distribution, requires n ≥ 4);
· Mode takes the most frequent value; all ties are listed, and it shows — when no value repeats;
· Coefficient of variation CV = s / μ;
· Information entropy follows Shannon entropy (frequency share of each distinct value as probability; base may be 2 / e / 10);
· Z-scores are computed point by point as (x − μ) / s; T statistic = (μ − μ0) / (s / √n), with μ0 given as a parameter.
Standard deviation always uses the sample standard deviation (denominator n−1); when the sample is too small or σ = 0, that statistic shows — instead of NaN / Infinity.
For basic statistics (mean / variance / standard deviation), use the site's math statistics calculator. Input recognizes negative numbers and decimals, and commas, spaces, or line breaks all separate values; results support one-click copy and CSV export.
Definitions are stated explicitly so results match across software:
· Quartiles use linear interpolation (Excel QUARTILE.INC, position = (n−1)×p), IQR = Q3 − Q1;
· Skewness uses sample skewness (Excel SKEW, requires n ≥ 3);
· Kurtosis uses excess kurtosis (Excel KURT; 0 for the normal distribution, requires n ≥ 4);
· Mode takes the most frequent value; all ties are listed, and it shows — when no value repeats;
· Coefficient of variation CV = s / μ;
· Information entropy follows Shannon entropy (frequency share of each distinct value as probability; base may be 2 / e / 10);
· Z-scores are computed point by point as (x − μ) / s; T statistic = (μ − μ0) / (s / √n), with μ0 given as a parameter.
Standard deviation always uses the sample standard deviation (denominator n−1); when the sample is too small or σ = 0, that statistic shows — instead of NaN / Infinity.
For basic statistics (mean / variance / standard deviation), use the site's math statistics calculator. Input recognizes negative numbers and decimals, and commas, spaces, or line breaks all separate values; results support one-click copy and CSV export.
How to use
- Paste the dataset into the input box (commas, spaces, or line breaks all work as separators).
- Set parameters such as the entropy base, hypothesized mean μ0, and decimal places.
- Click Run.
- Check the point-by-point Z-score table and the advanced statistics table, then copy or export the results.
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