Statistics Calculator

Calculate descriptive statistics including mean, median, mode, standard deviation, and more. Perfect for students, researchers, and data analysts.

Data Input

Enter your data values. You can input numbers separated by commas, spaces, or on separate lines.

Data Format

Enter Data

Sample Datasets

Click any sample to load example data

How to Use

Choose your data format (List, CSV, or Frequency)
Enter your numerical data
View comprehensive statistical analysis
Copy individual results or download full report
Use sample datasets to explore features

Understanding Statistics

Mean: The average value, calculated by summing all values and dividing by count

Median: The middle value when data is arranged in order

Mode: The value(s) that appear most frequently in the dataset

Standard Deviation: Measures how spread out data points are from the mean

When to Use Each Measure

Use Mean: When data is normally distributed without extreme outliers

Use Median: When data is skewed or contains outliers (more robust)

Use Mode: For categorical data or to find the most common value

Standard Deviation: Low values indicate data clustered around mean

Step-by-Step Instructions

Enter Your Data

Input your numerical data separated by commas, spaces, or new lines. You can paste data directly from spreadsheets.

Choose Data Format

Select whether your data is raw values, frequency data, or grouped data for appropriate statistical analysis.

Calculate Statistics

Click "Calculate Statistics" to compute descriptive statistics including mean, median, mode, and standard deviation.

Review Results

Examine the calculated measures of central tendency, dispersion, and distribution shape statistics.

Interpret Charts

View the histogram and box plot to visualize your data distribution and identify outliers or patterns.

Export or Save

Copy individual statistics or download the complete analysis report for your documentation or presentation.

Pro Tips

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Clean Your Data: Remove outliers or errors before calculation if they don't represent your true population.

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Choose the Right Average: Use median for skewed data, mean for normal distributions, and mode for categorical data.

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Sample vs Population: Use sample standard deviation (n-1) for samples, population standard deviation (n) for entire populations.

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Large Datasets: The calculator handles thousands of data points efficiently. Consider data grouping for very large sets.

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Visual Analysis: Use charts to spot trends, outliers, and distribution shapes that numbers alone might not reveal.

Frequently Asked Questions

What's the difference between population and sample statistics?

This calculator computes population statistics (using N in denominators). For sample statistics, the standard deviation would use N-1. Population statistics are used when you have data for the entire group you're studying.

How do I interpret skewness and kurtosis values?

Skewness measures asymmetry: values near 0 indicate symmetry, positive values indicate right tail, negative values indicate left tail. Kurtosis measures tail heaviness: positive values indicate heavy tails, negative values indicate light tails.

What data formats can I use?

You can enter data as a comma-separated list, CSV format (one value per line), or frequency format (value:frequency). The calculator automatically detects and parses your input format.

Is there a limit to how much data I can analyze?

Yes, the calculator supports up to 10,000 data points to ensure fast performance. For larger datasets, consider using specialized statistical software.

Can I export my statistical results?

Yes, you can copy individual statistics or download a complete report as a text file. The download includes all calculated statistics, frequency distribution, and your original dataset for reference.