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Unformatted text preview: = 5061.1
n âˆ’1
9 âˆ’1
s = 5061.1 = 71.14
Yes, the rescaling is by a factor of 10. Therefore, s2 and s would be rescaled by multiplying s2 by 102
(resulting in 5061.1) and s by 10 (71.14). Subtracting 30 from each value has no affect on the variance or
standard deviation. This is because n n i =1 696 V (aX + b) = a 2V ( X ) . i =1 âˆ‘ ( x i âˆ’ a ) 2 = âˆ‘ ( xi âˆ’ x ) 2 + n( x âˆ’ a ) 2 ; The sum written in this form shows that the quantity is minimized when a = x . n 697 n âˆ‘ (xi âˆ’ x )2 and âˆ‘ (xi âˆ’ Î¼ )2 Of the two quantities i =1 given that xâ...
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This document was uploaded on 02/09/2014.
 Spring '14

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