Statistics Calculator
Quickly find your Statistical summary with our free Statistics Calculator. Simple, fast, and accurate.
Data
Statistics
What is a Statistics Calculator?
A statistics calculator provides a full descriptive summary of your data set, including mean, median, mode, range, standard deviation, and more. It is a one-stop tool for understanding the key characteristics of your numbers.
How to calculate statistics manually
Mean = sum ÷ count. Median = middle sorted value. Mode = most frequent value. Range = max − min. Population SD = √(Σ(x − μ)² / N). Sample SD = √(Σ(x − x̅)² / (N − 1)).
Example calculation
For 12, 15, 15, 18, 22, 30: Mean = 112 ÷ 6 ≈ 18.67. Median = (15 + 18) ÷ 2 = 16.5. Mode = 15. Range = 30 − 12 = 18.
Common mistakes
- Ignoring outliers — The mean is sensitive to outliers. Check your data for extreme values.
- Using population SD for sample data — When your data is a sample, always use sample SD (n−1).
- Misreading the mode — The mode is the most frequent value, not a measure of central tendency in the usual sense.
Frequently asked questions
What statistics does this calculator provide?
Mean, median, mode, range, min, max, sum, count, and both SDs.
What is the difference between population and sample standard deviation?
Population uses N; sample uses N−1.
How do I interpret the mean?
The arithmetic average, sensitive to outliers.
What does the range tell me?
The spread from the smallest to the largest value.
How do I enter my data?
Separated by commas, spaces, or new lines.
Is this calculator free?
Yes, completely free.