चार प्रेक्षणों के लिए -1, 0, 1, 4, पृथुशीर्षत्व या ककुदता का माप किसके बराबर होता है।

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SSC CGL Tier-II ( JSO ) 2016 Official Paper ( Held On : 2 Dec 2016 )
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  2. 2
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Answer (Detailed Solution Below)

Option 2 : 2
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सूत्र

पृथुशीर्षत्व या ककुदता = μ422

μ4 = ∑(xi - x̅)4/n

μ2 = ∑(xi - x̅)2/n

गणना

माध्य = (-1 + 1 + 4)/4

⇒ माध्य = 1

⇒ μ4 = [(-1 -1)4 + ( - 1 - 0)4 + (1 - 1)4 + (4 - 1)4]/4

⇒ [16 + 1 + 81]/4

⇒ μ4 = 98/4

⇒ μ2 = [(1 - 1)2 +(-1 - 0)2 + (1 - 1)2 + (4 - 1)2]/4

⇒ μ2 = [4 + 1 + 9]/4

⇒ μ2 = 14/4

⇒  μ2 = (14/4)2

⇒ पृथुशीर्षत्व या ककुदता = 98/4/(14/4)2

⇒ 98/4 × 16/196

∴ पृथुशीर्षत्व या ककुदता​ का मान 2 है।

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