Search for: In any discrete series (when all values are not same) the relationship between M.D. about mean and S.D. is In any discrete series (when all values are not same) the relationship between M.D. about mean and S.D. is AM.D.=S.DBM.D. ≥S.D.CM.D.<S.D.DM.D. ≤S.D. Register to Get Free Mock Test and Study Material +91 Verify OTP Code (required) I agree to the terms and conditions and privacy policy. Solution:Let xi/fi;i=1,2,…,n be a frequencydistribution. Then,=1N∑i=1n fixi−X¯2 and M.D. =1N∑i=1n fixi−X¯let xi−X¯=zi;i=1,2,…,n. Then, (S.D.) 2−( M.D. )2=1N∑i=1n fizi2−1N∑i=1n fizi2=σz2≥0⇒ S.D. > M.D. Post navigationPrevious: If ∑i=1n xi−a=n and ∑i=1n xi−a2=na, (n, a>1), then the standard deviation of n observationsx1,x2,…,xn isNext: The standard deviation of a group of 18 observations x1,x2,…,x13 is 1. If α and β are distinct real numbers such that ∑i=118 xi−α=36 and ∑i=118 xi−β2=90, then |α−β|=Related content NEET Rank Assurance Program | NEET Crash Course 2023 JEE Main 2023 Question Papers with Solutions JEE Main 2024 Syllabus Best Books for JEE Main 2024 JEE Advanced 2024: Exam date, Syllabus, Eligibility Criteria JEE Main 2024: Exam dates, Syllabus, Eligibility Criteria JEE 2024: Exam Date, Syllabus, Eligibility Criteria NCERT Solutions For Class 6 Maths Data Handling Exercise 9.3 JEE Crash Course – JEE Crash Course 2023 NEET Crash Course – NEET Crash Course 2023