Lecture - Ch 2 Triola
Sample standard deviation
Definition vs Computing formula: Prove that they are the same
We need to show ![]()
Note
means
so
=1 + 1 +...+1 (n terms) = n
Proof:
Expand
binomial square
=
Linearity: ![]()
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Factor out
constants: 2 and x-bar
=
Def. of
is
; ![]()
=
Simplify
algebraically
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