if each of the observations x1,x2,x3, ,xn is increased by a, where a is a negative - Maths - Statistics

Question

if each of the observations x1,x2,x3, ,xn is increased by a,
where a is a negative or positive number show that the variance
remains unchanged

Zico · Answer

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if each of the observations x1,x2,x3,.....,xn is increased by a, where a is a negative or positive number show that the variance remains unchanged.