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+1 vote
22.4k views
in Mathematics by (31.4k points)

Consider three observations a, b and c such that b = a + c. If the standard deviation of a + 2, b + 2, c + 2 is d, then which of the following is true ?

(1) \(b^2=3(a^2 + c^2) + 9d^2\)

(2) \(b^2=a^2 + c^2 + 3d^2\)

(3) \(b^2=3(a^2 + c^2 + d^2)\)

(4) \(b^2=3(a^2 + c^2) - 9d^2\)

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1 Answer

+2 votes
by (30.9k points)

Correct answer is (4)

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