Probability Calculators

Values (X) 1, 2, 3, 4 Enter the possible values of the random variable Probabilities P(X) 0.1, 0.2, 0.4, 0.3 Enter probabilities corresponding to each value (must sum to 1) Calculate Reset Mean (Expected Value μ): Variance (σ²): Standard Deviation (σ): Sum of Probabilities: A Discrete Random Variable Calculator is a probability and statistics tool…

Enter data points to find the line of best fit: y = mx + b Separate values with commas (e.g., 1,2,3,4,5) X Values Y Values Predict Y for X value (Optional) Calculate Reset Regression Equation Slope (m): Y-Intercept (b): Correlation (r): R² (Coefficient of Determination): Prediction: When X = Number of Data Points: Mean X:…

Enter Data Set (comma-separated numbers) Calculate Reset Count (n): Mean (Average): Median: Mode: Standard Deviation: Variance: Range: Sum: Min / Max: Statistics plays a fundamental role in understanding data, making decisions, and analyzing real-world problems across various fields. From business and economics to science, education, and technology, statistical analysis helps transform raw data into meaningful…

Mean (μ) Standard Deviation (σ) X Value Calculate Reset Z-Score: P(X ≤ x): P(X > x): Percentile: Probability Density: Statistics is one of the most important branches of mathematics used in science, economics, engineering, healthcare, finance, education, and research. Among all statistical concepts, the normal distribution is considered one of the most fundamental and widely…

Enter Numbers (comma-separated) Calculate Reset Mean (Average): Median: Mode: Range: Count: Sum: Statistics plays a critical role in mathematics, science, business, economics, education, and data analysis. Every day, people collect and analyze numerical information to identify patterns, measure performance, and make informed decisions. One of the most important parts of statistics is understanding averages and…

X Values (comma-separated) Y Values (comma-separated) Calculate Reset Correlation Coefficient (r): R-Squared (r²): Relationship Strength: Sample Size (n): Statistics plays a critical role in modern research, finance, economics, business analysis, healthcare, and scientific studies. One of the most important statistical concepts used to understand relationships between variables is the correlation coefficient. This mathematical measure helps…

Significance Level (α) 0.10 (10%)0.05 (5%)0.01 (1%)0.001 (0.1%) Distribution Type Z-Distribution (Normal)t-DistributionChi-Square Distribution Degrees of Freedom Calculate Reset Critical Values: Left Tail: Right Tail: Rejection Region: Statistical analysis plays a crucial role in research, data science, economics, engineering, healthcare, and academic studies. One of the most important concepts in inferential statistics is hypothesis testing, where…

t-Statistic Degrees of Freedom Alternative Hypothesis Two-Sided (≠)Greater Than (>)Less Than (

Significance Level (α) 0.10 (10%)0.05 (5%)0.025 (2.5%)0.01 (1%)0.005 (0.5%) Tail Type Two-TailedOne-Tailed Sample Size (n) Calculate Reset Critical Value: Degrees of Freedom: Alpha Level: Rejection Region: Statistical hypothesis testing is one of the most essential tools used in scientific research, data analysis, healthcare, business intelligence, psychology, economics, engineering, and academic studies. Researchers rely on statistical…

t-Statistic Value Degrees of Freedom (df) Test Type Two-Tailed TestLeft-Tailed TestRight-Tailed Test Calculate Reset p-value: Significance at α = 0.05: t-Statistic: Degrees of Freedom: Statistical analysis is one of the most important tools used in scientific research, business analytics, economics, healthcare, psychology, engineering, and academic studies. Researchers and analysts rely heavily on hypothesis testing to…