Statistics Formulas
Mean = Σx / n
Median = middle value of sorted data
Mode = most frequent value(s)
Range = max − min
Variance = Σ(x − mean)² / n
Std Dev = √Variance
Statistics Calculator
Calculate descriptive statistics for any data set. Enter numbers separated by commas or spaces to get mean, median, mode, range, standard deviation, variance, and more instantly.
Descriptive Statistics Calculator
Frequently Asked Questions
What is the difference between population and sample standard deviation?
Population std dev (σ) divides by n; sample std dev (s) divides by n−1 (Bessel's correction). Use population when you have the entire data set; use sample when your data is a subset of a larger population. This calculator shows population std dev.
What does standard deviation tell you?
Standard deviation measures how spread out values are from the mean. A low std dev means data points are clustered near the mean; a high std dev means they're spread widely. About 68% of values fall within 1 std dev of the mean in a normal distribution.
About the Statistics Calculator
This free statistics calculator helps you get accurate results instantly without needing to work through the math manually. Whether you need a quick estimate or a precise figure, having a reliable tool on hand saves time and reduces errors compared to manual calculation.
How to Use This Calculator
- Enter your values in the input fields above. Each field is labeled to guide you.
- Double-check your inputs — results are only as accurate as the numbers you enter.
- Click the Calculate button to see your result instantly.
- Use the result for your planning, budgeting, or decision-making.
Why Accurate Calculations Matter
Small errors in math calculations can compound into significant problems. A 1% miscalculation in a budget or measurement can translate to hundreds or thousands of dollars in wasted resources, or result in having to redo work entirely. This calculator uses the standard formulas and methods to give you reliable results you can trust.
Tips for Getting the Best Results
- Use consistent units throughout (all in feet, all in dollars, etc.)
- For estimates, add a 10% buffer to account for real-world variables
- Save your result by taking a screenshot or writing it down before closing the page
- For decisions involving significant money or safety, verify results with a qualified professional
Frequently Asked Questions
Is this calculator free? Yes — completely free with no account, login, or payment required. Use it as many times as you need.
How accurate are the results? This calculator uses the standard formulas for statistics calculations. Results are accurate for typical use cases. For specialized or high-stakes applications, consult a professional.
Does it work on mobile? Yes. This calculator is fully responsive and works on smartphones, tablets, and desktops.