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दो चर राशियों X और Y के बीच सहसंबंध गुणांक 0.48 है। सहप्रसरण 36 है। X का प्रसरण 16 है। Y का मानक विचलन है:

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SSC CGL Tier-II ( JSO ) 2016 Official Paper ( Held On : 2 Dec 2016 )
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  1. 10.15
  2. 13.32
  3. 16.5
  4. 18.75

Answer (Detailed Solution Below)

Option 4 : 18.75
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Detailed Solution

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दिया गया है

σx = √16 = 4

r = 0.48

सहप्रसरण = ∑xy/N = 36

सूत्र

सहप्रसरण = ∑xy/N

r = ∑xy/N.σx × σy

गणना

प्रश्न के अनुसार

⇒ 0.48 = 36/4 × σy

⇒ σy = 9/0.48

∴ y(σy) का मानक विचलन 18.75 है।

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