Provide a mathematical proof for the transformation of weighted mean with weights Wi, i= 1, ..., n, a measure of location, when all values of data are shifted by a constant a E R. Further, provide a mathematical proof of a statement about the transformation of sample variance, a measure of variability, when all values of data are multiplied by a positive constant b E R, b > 0.
Provide a mathematical proof for the transformation of weighted mean with weights Wi, i= 1, ..., n, a measure of location, when all values of data are shifted by a constant a E R. Further, provide a mathematical proof of a statement about the transformation of sample variance, a measure of variability, when all values of data are multiplied by a positive constant b E R, b > 0.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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![Provide a mathematical proof for the transformation of weighted mean with weights
Wi, i = 1, ... , n, a measure of location, when all values of data are shifted by a constant
a E R. Further, provide a mathematical proof of a statement about the transformation
of sample variance, a measure of variability, when all values of data are multiplied by a
positive constant b E R, b > 0.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb1b6fd35-affc-4c43-8294-bc26e9900081%2Fd36cf76e-ae89-44c6-afcb-74ffa4834c12%2Frte0a84_processed.png&w=3840&q=75)
Transcribed Image Text:Provide a mathematical proof for the transformation of weighted mean with weights
Wi, i = 1, ... , n, a measure of location, when all values of data are shifted by a constant
a E R. Further, provide a mathematical proof of a statement about the transformation
of sample variance, a measure of variability, when all values of data are multiplied by a
positive constant b E R, b > 0.
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