About Descriptive & Summary Statistics Calculator
Comprehensive mathematical statistics suite for empirical research. Calculate sample and population mean, median, modes, geometric and harmonic means, sample variance (s²), standard deviation (s), standard error of the mean (SEM), IQR, Fisher-Pearson skewness, excess kurtosis, and full percentile rankings.
Key Capabilities & Features
- Measures of Central Tendency: Sample mean, population mean, median, modes, geometric mean, and harmonic mean
- Measures of Dispersion: Sample variance (n-1), population variance (N), standard deviations, and standard error (SEM)
- Distribution Shape Metrics: Fisher-Pearson sample skewness and excess kurtosis (sample-adjusted)
- Five-Number Summary: Minimum, First Quartile (Q1), Median (Q2), Third Quartile (Q3), Maximum, and IQR
- Percentile Table: Automatic R Type 7 linear interpolation for P10, P25, P50, P75, P90, P95, and P99
How to Use Descriptive & Summary Statistics Calculator
Enter Numbers
Paste numerical data separated by commas, spaces, tabs, or line breaks.
Inspect Summary Cards
Read mean, median, standard deviation, and standard error at a glance.
Review Moments & Shape
Check skewness and kurtosis to assess whether your data follows a normal distribution.
Copy Mathematical Outputs
Use the computed values directly in your research manuscripts.
Privacy & In-Browser Execution Guarantee
100% Client-Side. All numerical calculations execute using high-precision IEEE 754 floating-point arithmetic in your browser.
Frequently Asked Questions
What is the difference between sample variance and population variance?
Sample variance uses Bessel’s correction (n - 1 in the denominator) to provide an unbiased estimator of the population variance, whereas population variance divides by N.
How is the standard error of the mean (SEM) interpreted?
SEM measures the precision of the sample mean as an estimate of the true population mean, calculated as s / √n.