o² = V(x) = [(b-a+1)²-1]/12

MATLAB: An Introduction with Applications
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Derive the formula in picture 1 using the variance formula derivations given in picture 2.

o² = V(x) = [(b-a+1)²-1]/12
Transcribed Image Text:o² = V(x) = [(b-a+1)²-1]/12
Variance Formula Derivations
v(x)=Σ(x-μ) f(x) is the definitional formula
=Σ(x −2μx + μ?)f(x)
=Σxf(x)-2μΣ f(x)+a2f(x)
*
x
=Σxf(x)-2μ' + μ?
=Σxf(x)– μ' is the computational formula
x
x
Transcribed Image Text:Variance Formula Derivations v(x)=Σ(x-μ) f(x) is the definitional formula =Σ(x −2μx + μ?)f(x) =Σxf(x)-2μΣ f(x)+a2f(x) * x =Σxf(x)-2μ' + μ? =Σxf(x)– μ' is the computational formula x x
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