Statistics And Probability Question 424
Question: Suppose values taken by a variable x are such that $ a\le x_{i}\le b $ , where $ x_{i} $ denotes the value of x in the ith case for i = 1, 2, n. Then
[Kurukshetra CEE 1995, 2000]
Options:
A) $ a\le Var(x)\le b $
B) $ a^{2}\le Var(x)\le b^{2} $
C) $ \frac{a^{2}}{4}\le Var(x) $
D) $ {{(b-a)}^{2}}\ge Var(x) $
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Answer:
Correct Answer: D
Solution:
Since S.D. $ \le $ Range = b ? a \ Var $ (x)\le {{(b-a)}^{2}} $ or $ {{(b-a)}^{2}}\ge $ Var (x).
BETA
