Statistics Calculator

Q: What is the difference between mean and median?

Mean is the arithmetic average. Median is the middle value when sorted. Median is better for skewed data.

Q: What does standard deviation tell you?

It measures how spread out data is from the mean. Low SD = clustered; high SD = spread out.

Q: When should I use sample vs population standard deviation?

Use population SD (divide by n) for entire groups. Use sample SD (divide by n-1) for subsets.

Powerful tools for mean, median, mode, standard deviation, probability, correlation and more. Analyze your data with confidence.

Advanced Analysis Real-time Calculation Export & Share

Enter Your Data

Enter numbers separated by commas, spaces or new lines

Data Format

Count (n)

Sum (Σx)

Advanced Options

Decimal Places

Confidence Level

Variance/Std Dev Mode

Results Overview

Mean -

Median -

Mode -

Std Deviation - σ

Variance - σ²

Range -

Minimum -

Maximum -

Sum - Σ

Data Distribution

Box Plot

Normal Distribution Curve

Data Table

#	Data (x)	(x - Mean)	(x - Mean)²
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Additional Analysis

Coefficient of Variation (CV) -

Quartile 1 (Q1) -

Quartile 3 (Q3) -

Interquartile Range (IQR) -

Skewness -

Kurtosis -

Standard Error -

Confidence Interval (95%) -

Tips: Enter your data in the input box, click calculate and explore comprehensive statistical analysis with visualizations.

What is a Statistics Calculator?

A statistics calculator computes measures of central tendency (mean, median, mode) and dispersion (standard deviation, variance, range) from a dataset. Enter a list of numbers and get all key statistical metrics instantly. Essential for students, researchers, and data analysts.

Key Statistics Formulas

Mean (Average): Σx / n

Median: Middle value when data is sorted (or average of two middle values for even n)

Standard Deviation: √[Σ(x − x̄)² / (n−1)]

Variance: Σ(x − x̄)² / (n−1)

How to Use

Enter your data — Type numbers separated by commas, spaces, or newlines (e.g., 23, 45, 56, 78, 34).
Click Calculate — View complete mean, median, mode, standard deviation, variance, range, quartiles, skewness, kurtosis, and confidence interval reports.

Example: Dataset {4, 8, 6, 5, 3, 2, 8, 9, 5, 10}

Mean: 6.0 | Median: 5.5 | Mode: 5, 8 | Std Dev: 2.62 | Range: 8

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Frequently Asked Questions

What is the difference between mean and median?

Mean is the arithmetic average of all values. Median is the middle value when data is sorted. Median is better for skewed data because it is not affected by extreme outliers.

What does standard deviation tell you?

Standard deviation measures how spread out data is from the mean. A low SD means data points cluster near the mean; a high SD means they are spread out.

When should I use sample vs population standard deviation?

Use population SD (divide by n) when you have data for the entire group. Use sample SD (divide by n-1) when working with a subset. This calculator supports both modes under Advanced Options.