Please state your assumptions and show all your work clearly. 1. Show that the following equalities hold: a) Population variance: N 'i=1 i=1 N N b) Sample variance: E,(xi – x)² E-,(x;)² n(x)? i=1 n – 1 n – 1 n – 1 c) Sum of differences from the population mean: Σα. > (xi – u) = 0 | i=1

MATLAB: An Introduction with Applications
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Please state your assumptions and show all your work clearly.
1. Show that the following equalities hold:
a) Population variance:
N
'i=1
i=1
N
N
b) Sample variance:
E,(xi – x)² E-,(x;)² n(x)?
i=1
n – 1
n – 1
n – 1
c) Sum of differences from the population mean:
Σα.
> (xi – u) = 0
|
i=1
Transcribed Image Text:Please state your assumptions and show all your work clearly. 1. Show that the following equalities hold: a) Population variance: N 'i=1 i=1 N N b) Sample variance: E,(xi – x)² E-,(x;)² n(x)? i=1 n – 1 n – 1 n – 1 c) Sum of differences from the population mean: Σα. > (xi – u) = 0 | i=1
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