For sample values X X X the sample variance is s Each x a Show...
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Algebra
For sample values X X X the sample variance is s Each x a Show that the sample variance is unchanged if a constant c is added to or subtracted from each value in the sample b Show that the sample variance becomes c times its original value if each observation in the sample is multiplied by c becomes x c n 1 x x where x n i 1 becomes CX 1 0 1 a If a constant c is added to or subtracted from each value in the sample how do the sample values x change remains unchanged n Ex is the sample mean i 1 B
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