यदि n पदों x1, x2, _ _ _ _ _, xn का माध्य और मानक विचलन क्रमशः x̅ और σ है, तो -x1, -x2, -x3, _ _ _ _ _, -xn का माध्य और मानक विचलन क्रमशः है:

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SSC CGL Tier-II ( JSO ) 2016 Official Paper ( Held On : 2 Dec 2016 )
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  1. x̅, -σ
  2. -x̅, σ
  3. x̅, σ
  4. -x̅, -σ

Answer (Detailed Solution Below)

Option 2 : -x̅, σ
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व्याख्या

x1, x2, ---------,xn का माध्य = x̅

⇒ -x1, -x2 -------- -xका माध्य

⇒ -(x1 + x2 --------xn)/n का माध्य

⇒ नये पदों का माध्य = - x̅

मानक विचलन = √[(∑(xi - x̅)2/N]

(xi - x̅)2 सदैव घनात्मक है 

∴ माध्य और मानक विचलन क्रमशः - x̅  और σ है।

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