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Statistics Calculator

Calculate mean, median, mode, standard deviation, variance, quartiles, and more. Free online statistics calculator for any data set.

Statistics Calculator

Enter your data set to compute mean, median, mode, standard deviation, and more.

Enter at least one number

Summary

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Enter data to see results

How to Use This Statistics Calculator

Enter your data as comma-separated or space-separated numbers, and the calculator will instantly compute all key descriptive statistics. This tool is perfect for students, researchers, and anyone who needs to quickly analyze a data set.

Understanding the Results

  • Mean: The arithmetic average — sum of all values divided by the count.
  • Median: The middle value when data is sorted. Less affected by outliers than the mean.
  • Mode: The most frequently occurring value(s). If all values are unique, there is no mode.
  • Standard Deviation: Measures how spread out the data is from the mean. A low value means data points are close to the mean.
  • Variance: The square of the standard deviation. Used extensively in statistical analysis.
  • Quartiles: Q1 (25th percentile), Q2 (median), and Q3 (75th percentile) divide the data into four equal parts.
  • IQR: Interquartile Range (Q3 - Q1) measures the spread of the middle 50% of data.

Population vs Sample

This calculator uses population formulas for variance and standard deviation (dividing by N). If your data is a sample from a larger population, the sample standard deviation (dividing by N-1) will be slightly larger. For large data sets, the difference is negligible.

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How to Use

  1. 1Enter your data set as comma-separated numbers or one number per line.
  2. 2Click calculate to process your data.
  3. 3View comprehensive statistics including mean, median, mode, standard deviation, variance, range, and quartiles.

Frequently Asked Questions

What is the difference between mean, median, and mode?
The mean is the arithmetic average of all values. The median is the middle value when data is sorted. The mode is the most frequently occurring value. Each measures central tendency differently and is useful in different situations.
What is standard deviation?
Standard deviation measures how spread out values are from the mean. A low standard deviation means values are clustered close to the mean, while a high standard deviation indicates values are spread over a wider range.
What is the difference between population and sample standard deviation?
Population standard deviation divides by N (total count), while sample standard deviation divides by N-1. Use sample standard deviation when your data is a subset of a larger population, which is the more common scenario.
What are quartiles?
Quartiles divide a sorted data set into four equal parts. Q1 (25th percentile) is the median of the lower half, Q2 (50th percentile) is the overall median, and Q3 (75th percentile) is the median of the upper half.
What is variance?
Variance is the average of the squared differences from the mean. It measures data dispersion and is the square of the standard deviation. Variance is useful in probability theory and statistical analysis.

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