Mathematics · Statistics
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?
- 1b2 = 3(a2 + c2) - 9d2✓
- 2b2 = 3(a2 + c2 + d2)
- 3b2 = a2 + c2 + 3d2
- 4b2 = 3(a2 + c2) + 9d2
Correct answer
b2 = 3(a2 + c2) - 9d2
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