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This sample shows how a small dataset turns into a compact descriptive summary.
| Index | Value |
|---|---|
| 1 | 8 |
| 2 | 10 |
| 3 | 12 |
| 4 | 13 |
| 5 | 15 |
| 6 | 17 |
| 7 | 17 |
| 8 | 18 |
| 9 | 22 |
| 10 | 25 |
| Example Metric | Result |
|---|---|
| Count | 10 |
| Mean | 15.70 |
| Median | 16.00 |
| Q1 | 12.00 |
| Q3 | 18.00 |
| IQR | 6.00 |
| Sample Variance | 27.57 |
| Sample Std. Deviation | 5.25 |
Mean: x̄ = Σx / n
Median: Middle sorted value, or average of two middle values.
Range: Maximum − Minimum
Population Variance: σ² = Σ(x − μ)² / n
Sample Variance: s² = Σ(x − x̄)² / (n − 1)
Standard Deviation: Square root of the relevant variance.
Quartiles: Q1 and Q3 are medians of lower and upper halves.
IQR: Q3 − Q1
Coefficient of Variation: CV = (Sample SD / |Mean|) × 100
Standard Error: SE = Sample SD / √n
Geometric Mean: GM = exp[Σln(x) / n], only for positive values.
Harmonic Mean: HM = n / Σ(1/x), unavailable when any value is zero.
Median Absolute Deviation: Median of |x − median| values.
Percentile: Linear interpolation across sorted positions.
Outlier Fences: Lower = Q1 − 1.5×IQR, Upper = Q3 + 1.5×IQR
Skewness and Excess Kurtosis: Standardized third and fourth central moments, describing asymmetry and tail shape.
You can paste integers, decimals, negative values, and scientific notation. Separate items with commas, spaces, line breaks, or semicolons.
Non-numeric items are skipped from calculations and listed as invalid tokens. This helps you spot data cleaning issues without stopping the summary.
Yes. It reports both sample and population variance plus standard deviation, so you can match classroom formulas or practical analytics workflows.
The values are sorted first. Then Q1 and Q3 are taken from the lower and upper halves, while the median becomes Q2.
Geometric mean needs every value to be positive. Zero or negative entries make logarithmic averaging invalid, so the result is marked unavailable.
Harmonic mean divides by each value. If any entry equals zero, division becomes impossible, so the calculator safely returns unavailable.
Outliers use Tukey fences. Values below Q1 minus 1.5 times IQR, or above Q3 plus 1.5 times IQR, are flagged.
Yes. The CSV is convenient for spreadsheets, while the PDF creates a neat report snapshot that is easy to share or archive.
Important Note: All the Calculators listed in this site are for educational purpose only and we do not guarentee the accuracy of results. Please do consult with other sources as well.