Statistics Calculator

What is a Statistics Calculator?

Calculate descriptive statistics for any numerical dataset: Mean (Average), Median, Mode, Sample & Population Standard Deviation, Variance, Range, Minimum, Maximum, and Quartiles (Q1, Q3, IQR).

Why Use This Tool?

  • Data Analysis & Research: Calculate central tendency and dispersion metrics for data science and research papers.
  • Quality Control & Testing: Measure process variance and standard deviation in manufacturing or software metrics.
  • Student Statistics Math: Verify statistics homework calculations instantly.

How to Use

  1. Paste comma, space, or line-separated numbers into the data field.
  2. Select Sample or Population mode.
  3. View calculated Mean, Median, Mode, Variance, and Standard Deviation.

Real Working Example

Input:

Dataset: 12, 15, 18, 22, 22, 25, 30, 35

Output Result:

Count: 8 | Mean: 22.375 | Median: 22.0 | Mode: 22 | Sample Std Dev: 7.21 | Range: 23

Important Technical Details & Formulas

  • Statistical Formulas: Computes Sample Variance `s² = Σ(x - x̄)² / (n - 1)` and Population Variance `σ² = Σ(x - x̄)² / n`.
  • Quartile Method: Computes Q1 (25th percentile), Q3 (75th percentile), and Interquartile Range (IQR).
  • Client-Side Engine: Fast calculation in local browser memory.

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Frequently Asked Questions

What is the difference between Mean and Median?

Mean is the mathematical average of all numbers; Median is the middle value when data is sorted.

What is the difference between Sample and Population Standard Deviation?

Sample Std Dev divides by (n - 1) to estimate population parameters; Population Std Dev divides by n for complete datasets.

How is Mode determined if multiple numbers repeat equally?

If multiple numbers repeat with the highest frequency, the dataset is bimodal or multimodal.

Is it free?

Yes, 100% free.

Is my dataset stored on a server?

No, all statistical processing happens 100% locally in your browser.