Question
Download Solution PDFThe mode and median of a data set is 28.4 and 88, respectively. What is the mean of the data set? (Use empirical formula.)
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Mode = 28.4
Median = 88
Formula used:
\(Mean - Mode = 3(Mean - Median)\)
Or, \(Mode = 3 × Median - 2 × Mean\)
Calculation:
Using formula: \(Mean - 28.4 = 3(Mean - 88)\)
⇒ Mean - 28.4 = 3Mean - 264
⇒ -28.4 + 264 = 3Mean - Mean
⇒ 235.6 = 2Mean
⇒ Mean = 117.8
∴ The correct answer is 117.8.
Last updated on Jul 19, 2025
-> RRB NTPC Under Graduate Exam Date 2025 has been released on the official website of the Railway Recruitment Board.
-> The RRB NTPC Admit Card will be released on its official website for RRB NTPC Under Graduate Exam 2025.
-> CSIR NET City Intimation Slip 2025 Out @csirnet.nta.ac.in
-> HSSC CET Admit Card 2025 has been released @hssc.gov.in
-> Candidates who will appear for the RRB NTPC Exam can check their RRB NTPC Time Table 2025 from here.
-> The RRB NTPC 2025 Notification 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.
-> Get detailed subject-wise UGC NET Exam Analysis 2025 and UGC NET Question Paper 2025 for shift 1 (25 June) here
->Bihar Police Driver Vacancy 2025 has been released @csbc.bihar.gov.in.