Question
Download Solution PDFIf the mean and the standard deviation of n observations x1, x2, _ _ _ _ _, xn be x̅ and σ respectively, then the mean and standard deviation of -x1, -x2, -x3, _ _ _ _ _, -xn are, respectively,:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFExplanation
Mean of x1, x2, ---------,xn = x̅
⇒ Mean of -x1, -x2 -------- -xn
⇒ Mean of -(x1 + x2 --------xn)/n
⇒ Mean of new observation = - x̅
Standard deviation = √[(∑(xi - x̅)2/N]
(xi - x̅)2 is always positive
∴ Mean and standard deviation is - x̅ and σ
Last updated on Jul 10, 2025
-> The SSC CGL Notification 2025 for the Combined Graduate Level Examination has been officially released on the SSC's new portal – www.ssc.gov.in.
-> This year, the Staff Selection Commission (SSC) has announced approximately 14,582 vacancies for various Group B and C posts across government departments.
-> The SSC CGL Tier 1 exam is scheduled to take place from 13th to 30th August 2025.
-> Aspirants should visit ssc.gov.in 2025 regularly for updates and ensure timely submission of the CGL exam form.
-> Candidates can refer to the CGL syllabus for a better understanding of the exam structure and pattern.
-> The CGL Eligibility is a bachelor’s degree in any discipline.
-> Candidates selected through the SSC CGL exam will receive an attractive salary. Learn more about the SSC CGL Salary Structure.
-> Attempt SSC CGL Free English Mock Test and SSC CGL Current Affairs Mock Test.