यदि आँकड़ों के एक निश्चित समूह का माध्य 16 है और प्रसरण 4 है तो प्रसरण का गुणांक ज्ञात कीजिए।

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SSC CGL Tier-II ( JSO ) 2017 Official Paper ( Held On : 22 Feb 2018 )
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  1. 25
  2. 12.5
  3. 10
  4. 20

Answer (Detailed Solution Below)

Option 2 : 12.5
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Detailed Solution

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दिया गया है

समांतर माध्य (μ) = 16

प्रसरण = σ2 = 4

सूत्र

मानक विचलन = σ = √प्रसरण

CV = प्रसरण का गुणांक σ/μ

σ = मानक विचलन

μ = माध्य

गणना

मानक विचलन =  σ = √4 = 2

⇒ CV = (σ/μ) × 100

⇒ CV = (2/16) × 100

∴ प्रसरण का गुणांक 12.5 है। 

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