Descriptive Statistics Calculator

Compute Mean, Median, Mode, Variance, Standard Deviation, Quartiles, IQR, Range, and Z-Scores from numerical datasets.

Descriptive Statistics Calculator

Compute Mean, Median, Mode, Variance, Standard Deviation, Quartiles, IQR, Range, and Z-Scores from numerical datasets.

Raw Dataset (Comma, space, or newline separated):

Sample Statistics (n - 1)Population Statistics (n)

Count (n)

Sum (Σx)

325

Mean (Average)

29.545

Median

29.000

Standard Deviation (s)

11.414

Variance (s²)

130.273

Min / Max

12 / 50

Range / IQR

38 (IQR: 16)

About This Tool

The Descriptive Statistics Calculator computes key summary statistics from arrays of numbers, providing central tendency, dispersion, quartiles, and outlier detection.

Key Features

Calculates Mean, Median, Mode, and Geometric Mean

Calculates Sample & Population Variance and Standard Deviation

Calculates Min, Max, Range, Sum, Q1, Q3, and Interquartile Range (IQR)

Generates Five-Number Summary

How to Use This Tool

Paste or type comma, space, or newline-separated numbers into the dataset field.
Select Sample (n-1) or Population (n) variance calculation.
Instantly view the statistical summary and metric breakdown.

Why Use This Tool

Analyze data science benchmarks, latency distributions, and query response times.
Prepare statistical summaries for research papers and financial audits.

Pro Tips

Use Sample standard deviation (divided by n-1) when analyzing a subset or test sample of a larger population.

Frequently Asked Questions

When should I use Sample vs Population Standard Deviation?

Use Sample Standard Deviation (divided by n - 1, Bessel's correction) when your data is a sample of a larger group. Use Population (divided by n) when you have measured all members of the entire group.

What is the Interquartile Range (IQR)?

The Interquartile Range is the difference between the 75th percentile (Q3) and 25th percentile (Q1), measuring the spread of the middle 50% of your data.

Descriptive Statistics Calculator