Question
Download Solution PDFचार प्रेक्षणों के लिए -1, 0, 1, 4, पृथुशीर्षत्व या ककुदता का माप किसके बराबर होता है।
Answer (Detailed Solution Below)
Detailed Solution
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पृथुशीर्षत्व या ककुदता = μ4/μ22
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।
Last updated on Jul 11, 2025
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