Statistics Calculator
Calculate comprehensive statistical measures including mean, median, mode, variance, standard deviation, and more. Perfect for data analysis and research.
Statistics Calculator
How to Use This Calculator
Enter your data set with numbers separated by commas, spaces, or line breaks. The calculator will compute comprehensive statistical measures including central tendency (mean, median, mode) and dispersion (variance, standard deviation, range).
Understanding Mean, Median, and Mode
Mean is the average (sum divided by count). Median is the middle value when sorted (less affected by outliers). Mode is the most frequent value. Together, these measures of central tendency describe the typical value in your data set.
Variance and Standard Deviation
Variance measures how spread out data is from the mean. Formula: σ² = Σ(x – μ)² / n. Standard deviation is the square root of variance (σ = √σ²). Lower values indicate data points are close to mean; higher values show more spread.
Common Applications
Used in research analysis, quality control, financial analysis, test score analysis, scientific experiments, market research, sports statistics, and any field requiring data interpretation. Essential for understanding data distributions and making informed decisions.
Interpreting Results
Compare mean and median to detect skewness. Large standard deviation indicates high variability. Range shows data spread. Multiple modes suggest multi-modal distribution. Use these measures together for comprehensive data understanding.
Frequently Asked Questions
Q: Population vs sample? A: This uses population formulas (÷n). For samples use ÷(n-1). Q: What if there’s no mode? A: All values appear equally. Q: Why is std deviation useful? A: Shows typical deviation from mean. Q: Can variance be negative? A: No, it’s always non-negative.