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Calculate mean, median, mode, range, standard deviation, variance, quartiles & more. Professional statistical calculator with frequency distribution, box plots, outlier detection & advanced analytics. Perfect for students, researchers & data analysts.
Input your numbers above to calculate mean, median, mode, range, and more!
Mean, median, mode, range, standard deviation, variance, quartiles & more
Skewness, kurtosis, geometric mean, harmonic mean, RMS & outlier detection
Interactive box plots, frequency distribution charts & statistical comparisons
Real-time calculations with adjustable decimal precision & multiple input formats
Input numbers separated by commas, spaces, semicolons, or line breaks. Use sample data buttons for quick testing.
Select decimal places (0-5) based on your data precision requirements.
Explore basic statistics, advanced measures, frequency distribution, and visual representations across different tabs.
Interpret results, identify outliers, and download complete statistical report for your records.
Sum of all values divided by count. Best for symmetric data without outliers.
Middle value when data is sorted. Resistant to outliers and extreme values.
Most frequently occurring value. Can have multiple modes or no mode.
Difference between maximum and minimum values. Simple measure of variability.
Measures data spread from mean. Low SD = clustered, High SD = dispersed. Formula: √[Σ(x-μ)²/(n-1)]
Square of standard deviation. Measures average squared deviation from mean. Variance = SD²
Divide data into four parts. Q1 = 25th percentile, Q3 = 75th percentile. Used in box plots
Middle 50% of data. IQR = Q3 - Q1. Used for outlier detection and box plots
nth root of product. Best for growth rates, investment returns. GM = ⁿ√(x₁×x₂×...×xₙ)
Reciprocal of average reciprocals. Best for rates and speeds. HM = n / Σ(1/x)
Measures asymmetry. Positive = right-skewed, Negative = left-skewed, Zero = symmetric
Measures tail heaviness. Positive = heavy tails, Negative = light tails, Zero = normal
Identifies extreme values using IQR method. Outliers: < Q1-1.5×IQR or > Q3+1.5×IQR
Accuracy & Reliability: This mean, median, mode, and range calculator implements industry-standard statistical formulas validated against academic references including NIST Engineering Statistics Handbook and peer-reviewed statistical methods. All calculations follow established mathematical principles used in academic research and professional data analysis.
Educational Purpose: Designed for students, researchers, educators, and data analysts who need reliable statistical calculations. The calculator provides step-by-step insights into statistical measures, helping users understand not just the results but the underlying concepts.
Transparency: All formulas and calculation methods are based on standard statistical practices. Sample standard deviation uses (n-1) denominator (Bessel's correction), outlier detection follows the 1.5×IQR rule, and all measures are computed using established algorithms.
Regular Updates: This tool is maintained and updated to ensure accuracy, compatibility, and adherence to best practices in statistical analysis. Last updated: December 2024.
Disclaimer: This calculator is provided for educational and informational purposes. While we strive for accuracy, users should verify critical calculations and consult with qualified statisticians for professional or academic research requiring peer review.
Calculate SD, variance & CV
Standardize data & find probabilities
Calculate CI for mean & proportion
Calculate probabilities & odds
Calculate nPr & nCr
Complete statistical analysis
Determine required sample size
Calculate percentages easily
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