Calculator Inputs
Example Data Table
This sample shows a simple dataset you can paste into the calculator.
| Observation | Value |
|---|---|
| 1 | 12 |
| 2 | 15 |
| 3 | 18 |
| 4 | 18 |
| 5 | 20 |
| 6 | 22 |
| 7 | 25 |
| 8 | 27 |
| 9 | 27 |
| 10 | 30 |
Formula Used
Central Tendency
Mean: x̄ = Σx / n
Median: middle value of the sorted dataset.
Mode: value with the highest frequency.
Trimmed Mean: remove equal tails, then average the remaining values.
Geometric Mean: (x₁·x₂·...·xₙ)^(1/n) for positive values only.
Harmonic Mean: n / Σ(1/x) for nonzero values only.
Spread and Shape
Range: max - min
Variance: sample uses Σ(x - x̄)² / (n - 1); population uses Σ(x - μ)² / n.
Standard Deviation: √variance
SEM: s / √n
IQR: Q3 - Q1
Coefficient of Variation: (standard deviation / |mean|) × 100
Skewness and Kurtosis: moment-based shape measures.
Outlier Fences: Q1 - 1.5×IQR and Q3 + 1.5×IQR.
Quartiles and percentiles in this calculator use linear interpolation on the sorted data.
How to Use This Calculator
- Enter a label for your dataset so exported files stay organized.
- Paste numbers into the dataset box using commas, spaces, semicolons, or line breaks.
- Choose sample or population mode, set decimals, trim percentage, and histogram bins.
- Click Calculate Descriptive Stats to view summary cards, full metrics, a Plotly chart, and export buttons.
FAQs
1. What does this calculator measure?
It summarizes a numeric dataset using center, spread, quartiles, percentiles, shape, and outlier checks. It also builds a chart and export-ready tables.
2. When should I choose sample mode?
Choose sample mode when your numbers represent only part of a larger population. It uses n - 1 in the variance denominator.
3. When should I choose population mode?
Use population mode when the dataset already contains every value of interest. In that case, variance divides by n.
4. How are quartiles calculated here?
Quartiles are based on the sorted dataset using linear interpolation. This gives smooth percentile estimates, especially when the dataset size is even.
5. Why can geometric or harmonic mean be unavailable?
Geometric mean requires all values to be positive. Harmonic mean requires all values to be nonzero. If the data breaks those rules, the result is not shown.
6. How are outliers flagged?
The calculator uses the common IQR rule. Values below Q1 - 1.5×IQR or above Q3 + 1.5×IQR are counted as outliers.
7. What does trimmed mean do?
It removes the chosen percentage of smallest and largest values before averaging. This reduces the influence of extreme observations.
8. What can I export?
You can export a CSV file with summary metrics and sorted data, plus a PDF report with the same results in a clean printable layout.