Measures Of Dispersion
Telangana Open School (TOSS) · Class 12 · Mathematics
All formulas from Measures Of Dispersion in Telangana Open School (TOSS) Class 12 Mathematics. Key equations, constants, and identities for board exam preparation.
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Formulas
Range
Range = Maximum value - Minimum value
Mean Deviation
M.D. from mean = (Σ fᵢ |xᵢ - x̄|) / N
M.D. from median = (Σ fᵢ |xᵢ - M|) / N
Variance and Standard Deviation
Variance (σ²) = Σ(xᵢ - x̄)² / n (for ungrouped data)
Variance (σ²) = [Σ fᵢ(xᵢ - x̄)²] / N (for grouped data)
σ² = (Σ fᵢxᵢ² / N) - (Σ fᵢxᵢ / N)²
Standard Deviation (σ) = √Variance
Step Deviation Method
uᵢ = (xᵢ - a)/h
σₓ² = h² × σᵤ²
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