Statistics Calculator
Instructions:
1. Enter your data as comma-separated values (e.g., 5, 8, 12, 3, 9)
2. Select the statistics you want to calculate from the dropdown menu
3. Click "Calculate" to see results with mathematical formulas
Key Features of Our Statistics Calculator
Calculate essential statistical measures including mean, median, mode, standard deviation, variance, correlation and more with our free online calculator. Perfect for students, researchers, and data analysis.
- Comprehensive Statistics - Mean, median, mode, variance, standard deviation
- Advanced Calculations - Correlation, regression, z-scores, t-tests
- Probability Tools - Permutations, combinations, binomial probability
- Two Data Modes - Single dataset or paired datasets for correlation/regression
- Example Data - Quick-load examples for each calculation type
- Mobile-Friendly - Works perfectly on all devices
How to Use the Statistics Calculator
Basic Statistics
For mean, median, or mode: Select the calculation type, enter your data in the "Single Dataset" tab, and click Calculate. Use the example buttons to load sample data.
Correlation & Regression
Switch to the "Paired Datasets" tab, enter your X and Y values, select correlation or regression, and click Calculate. Ensure both datasets have the same number of values.
Hypothesis Testing
For t-tests: Select t-test from the menu, choose your test type in the options panel, enter your data, and click Calculate. Review the p-value for significance.
Dispersion Measures
Calculate range, standard deviation, variance, quartiles, and interquartile range to understand how spread out your data is from the average value.
Quartile Calculations
Get Q1, Q3, and IQR values to understand the distribution of your data and identify potential outliers.
Population vs Sample
View both population statistics (divide by N) and sample statistics (divide by N-1) to ensure you're using the right calculations for your data type.
Formula Display
Click "Show Formulas" to reveal all mathematical formulas used in the calculations, including step-by-step explanations of each statistical measure.
Statistics Calculator FAQs
What's the difference between population and sample variance?
Population variance divides by N (number of items in population) while sample variance divides by n-1 (to correct for bias in small samples). Our calculator shows both when relevant.
How does the calculator handle missing data?
Empty values in comma/space separated lists are automatically ignored. For paired data, both X and Y values must be present for each data point.
What's the maximum dataset size?
The calculator can handle reasonably large datasets, but extremely large datasets (10,000+ points) may slow down your browser.
How precise are the calculations?
Calculations use JavaScript's floating-point arithmetic with about 15-17 decimal digits of precision.