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📊 Statistics Calculator
📋 Descriptive
🎲 Probability
🔔 Normal Dist.
📈 Regression
📏 Confidence Intervals
🧪 Hypothesis Tests
Enter Data
Data values (comma or space separated)
Calculate
Sample Data
Descriptive Statistics
5-Number Summary
Box Plot
Histogram
Frequency Table
🔢 Combinations & Permutations
n (total)
r (choose)
Calculate
C(n,r) = n! / (r!(n−r)!) | P(n,r) = n! / (n−r)!
📊 Basic Probability
Favorable outcomes
Total outcomes
Calculate
🎯 Expected Value
Enter value:probability pairs (e.g. 10:0.3, 20:0.5, -5:0.2)
Calculate E(X)
🎲 Binomial Distribution
n (trials)
p (success prob)
k (successes)
Calculate
P(X=k) = C(n,k) × pᵏ × (1−p)ⁿ⁻ᵏ
🔢 Factorial
n
n!
➕ Addition & Multiplication Rules
P(A)
P(B)
P(A∩B)
Calculate
🔔 Find Probability
μ (mean)
σ (std dev)
Type
P(X < a)
P(X > a)
P(a < X < b)
Find x given percentile
a
Calculate
📐 Z-Score Calculator
x (value)
μ (mean)
σ (std dev)
Calculate
📊 Empirical Rule (68-95-99.7)
μ
σ
Show
Bell Curve
Enter X and Y Data
X values
Y values
Calculate
Sample Data
Results
Scatter Plot + Regression Line
Residuals
📏 Z-Interval (σ known)
Sample mean (x̄)
σ (pop std dev)
n (sample size)
Confidence level
90%
95%
99%
Calculate
x̄ ± z* × (σ/√n)
📏 T-Interval (σ unknown)
Sample mean (x̄)
s (sample std dev)
n (sample size)
Confidence level
90%
95%
99%
Calculate
x̄ ± t* × (s/√n), df = n−1
📊 Sample Size Calculator
Margin of error (E)
σ (or estimate)
Confidence level
90%
95%
99%
Calculate n
n = (z* × σ / E)²
🧪 One-Sample Z-Test (σ known)
Null hypothesis μ₀
x̄ (sample mean)
σ (pop std dev)
n
Alternative hypothesis
μ ≠ μ₀ (two-tailed)
μ > μ₀ (right-tailed)
μ < μ₀ (left-tailed)
Significance level α
0.10
0.05
0.01
Run Test
🧪 One-Sample T-Test (σ unknown)
Null hypothesis μ₀
x̄ (sample mean)
s (sample std dev)
n
Alternative hypothesis
μ ≠ μ₀ (two-tailed)
μ > μ₀ (right-tailed)
μ < μ₀ (left-tailed)
Significance level α
0.10
0.05
0.01
Run Test
📖 Chebyshev's Theorem
k (# of std devs, k>1)
Calculate
P(|X−μ| < kσ) ≥ 1 − 1/k²