Mean Calculator
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Category: Statistics Calculator
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Mean Calculator
Mean Calculator -
Variance Calculator
Variance Calculator Variance Calculator
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Formula:
Population Variance (σ²)
σ² = Σ(x − μ)² / N
Sample Variance (s²)
s² = Σ(x − x̄)² / (n − 1)
Where:
x = observation
μ or x̄ = mean
N or n = number of observations -
Standard Deviation Calculator
Standard Deviation Calculator Standard Deviation Calculator
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Formula:
Population Standard Deviation (σ)
σ = √[ Σ(x − μ)² / N ]
Sample Standard Deviation (s)
s = √[ Σ(x − x̄)² / (n − 1) ]
Where:
x = observation
μ or x̄ = mean
N or n = number of observations -
Standard Error Calculator
Standard Error Calculator Standard Error of Mean (SE)
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Formula:
Standard Error of Mean (SE)
SE = s / √n
Where:
s = sample standard deviation
n = number of observations -
Coefficient of Variation Calculator
Coefficient of Variation Calculator Coefficient of Variation (CV %)
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Formula:
Coefficient of Variation (CV %)
CV % = (Standard Deviation / Mean) × 100
Where:
Standard Deviation = measure of dispersion
Mean = average of observations -
Correlation Calculator
Correlation Calculator Correlation Calculator
Enter paired values (X Y) in each line
Formula (Pearson’s r):
r = Cov(X,Y) / √(σ²X · σ²Y)
Where:
Cov(X,Y) = covariance between X and Y
σ²X, σ²Y = variances of X and Y -
Regression Calculator
Regression Calculator with Formula & Graph Simple Regression Calculator
Enter paired values (X Y) line by line
Formulas Used:
Regression equation (Y on X)
Y = a + bX
Slope (b)
b = Σ[(X − X̄)(Y − Ȳ)] / Σ[(X − X̄)²]
Intercept (a)
a = Ȳ − bX̄ -
Path Coefficient Analysis
Path Coefficient Analysis Path Coefficient Analysis
Correlation Decomposition (Direct & Indirect Effects)
Formula Used:
Correlation decomposition:
rij = Pij + Σ rikPkj
Where:
Pij = Direct effect of Xi on Y
rikPkj = Indirect effect via Xk -
Standard Error of Mean Calculator
Regression Coefficient Calculator Regression Coefficient (bᵧₓ)
Enter covariance and variance values
Formula:
Regression coefficient of Y on X
byx = Covxy / σx2
Where:
Covxy = Covariance between X and Y
σx2 = Variance of X -
Covariance Calculator
Covariance Calculator Covariance (Covₓᵧ)
Enter X and Y values (same number of observations)
Formula:
Covariance
Covxy = Σ (x − x̄)(y − ȳ) / n
Where:
x̄ = Mean of X values
ȳ = Mean of Y values
n = Number of observations