Statistics Calculator
Comprehensive statistical analysis tool for your data
Statistical Formulas
Mean (Average)
μ = Σx / n
Sum of all values divided by the number of values
Standard Deviation
σ = √(Σ(x - μ)² / n)
Square root of the variance
Variance
σ² = Σ(x - μ)² / n
Average of squared deviations from the mean
Benefits & Features
Our statistics calculator offers multiple advantages for data analysis:
Comprehensive Analysis
- Calculate basic and advanced statistics
- Variance and standard deviation
- Quartile analysis
- Skewness measurement
- Data visualization
Data Visualization
- Interactive histograms
- Distribution analysis
- Visual data patterns
- Frequency distribution
- Clear result presentation
Educational Features
- Learn statistical concepts
- Formula explanations
- Practice data analysis
- Understanding distributions
- Real-time calculations
Frequently Asked Questions
Standard deviation measures the amount of variation in a dataset. It indicates how spread out the numbers are from their average (mean). A low standard deviation indicates that the values tend to be close to the mean, while a high standard deviation indicates that the values are spread out over a wider range.
Skewness measures the asymmetry of the probability distribution. A positive skewness indicates a distribution with a longer tail on the right side, while a negative skewness indicates a longer tail on the left. A skewness of 0 suggests a perfectly symmetrical distribution.
Quartiles divide a dataset into four equal parts. Q1 (First Quartile) represents the 25th percentile, Q2 (Median) the 50th percentile, and Q3 (Third Quartile) the 75th percentile. The difference between Q3 and Q1 is called the interquartile range (IQR), which is a measure of statistical dispersion.
Our calculator uses standard statistical formulas and provides results with 4 decimal places of precision. All calculations are performed client-side using JavaScript's built-in Math functions, ensuring both accuracy and quick response times.