Question
Download Solution PDFপাচঁটি ধারাবাহিক জোড় সংখ্যার গড় হল 16, সংখ্যা গুলির ভেদমান (ভেরিএন্স) কত হবে?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFপ্রদত্ত :
পাচঁটি ধারাবাহিক জোড় সংখ্যার গড় = 16
অনুসৃত সূত্র :
\({\rm{গড় \;}}\left( {\rm{m}} \right) = \;\frac{{\left\{ {2{\rm{a\;}} + \left( {{\rm{n\;}} - 1} \right){\rm{d}}} \right\}}}{2}\)
V =ভেদমান
∑ = সমষ্টি
x = পর্যবেক্ষণ
n = পর্যবেক্ষণের সংখ্যা
a = সংখ্যা গুলির 1ম পদ (টার্ম)
d = সাধারণ অন্তর
গণনা :
\(\frac{{\left\{ {2{\rm{a\;}} + \left( {{\rm{n\;}} - 1} \right){\rm{d}}} \right\}}}{2} = 16\)
⇒ 2a + (5 – 1)2 = 32
⇒ 2a + 4 × 2 = 32
⇒ 2a = 32 – 8
⇒ 2a = 24
⇒ a = 12
1ম পদ = 12
অন্যান্য পদগুলি হল 14, 16, 18, 20
\({\rm{V}} = {\rm{\;}}\frac{{{{\left( {12{\rm{\;}} - 16} \right)}^2} + {{\left( {14{\rm{\;}} - 16} \right)}^2} + {{\left( {16{\rm{\;}} - 16} \right)}^2} + {{\left( {18{\rm{\;}} - 16} \right)}^2} + {{\left( {20{\rm{\;}} - 16} \right)}^2}}}{5}\)
⇒ \({\rm{\;}}\frac{{16{\rm{\;}} + {\rm{\;}}4{\rm{\;}} + {\rm{\;}}0{\rm{\;}} + {\rm{\;}}4{\rm{\;}} + 16}}{5}\)
⇒ \({\rm{\;}}\frac{{40}}{5}\)
⇒ 8
⇒ V = 8
∴ সংখ্যাগুলির ভেদমান হল 8
Last updated on Jun 9, 2025
-> RRB NTPC 2025 Exam Postponed. Railway Recruitment Board has rescheduled the RRB NTPC Exam for June 5, 2025 (Shift 3).
-> RRB NTPC Exam Analysis 2025 is LIVE now. All the candidates appearing for the RRB NTPC Exam 2025 can check the complete exam analysis to strategize their preparation accordingly.
-> The RRB NTPC Admit Card 2025 has been released on its official website.
-> Candidates who will appear for the RRB NTPC Exam can check their RRB NTPC Time Table 2025 from here.
-> The RRB NTPC CBT 1 Exam is scheduled from 5th June to 24th June 2025 as per the revised tentative exam schedule.
-> The RRB NTPC 2025 Notification has been released for a total of 11558 vacancies.
-> A total of 3445 Vacancies have been announced for Undergraduate posts like Commercial Cum Ticket Clerk, Accounts Clerk Cum Typist, Junior Clerk cum Typist & Trains Clerk.
-> A total of 8114 vacancies are announced for Graduate-level posts in the Non-Technical Popular Categories (NTPC) such as Junior Clerk cum Typist, Accounts Clerk cum Typist, Station Master, etc.
-> Prepare for the exam using RRB NTPC Previous Year Papers.
-> Check out the Rajasthan PTET Admit Card 2025 and UPSC Prelims Result Date 2025 here.