Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
IAT IISER2021MathematicsStatistics

Consider the two data sets aligned & S₁= 1,2,4,8,9,11,15,20,27,29,33 & S₂= 51,52,54,58,59,61,65,70,77,79,83 aligned Let m₁, m₂ and v₁, v₂ be the means and the variances of S₁ and S₂ , respectively. Then, which of the following relations is correct?

Options

  1. Am₂=m₁, v₂=v₁
  2. Bm₂=m₁+50, v₂=v₁
  3. Cm₂=m₁+50, v₂ v₁
  4. Dm₂=m₁+50, v₂=v₁+50 .

Correct answer

B. m₂=m₁+50, v₂=v₁

Step-by-step solution

No solution available.

Practice Statistics on Quantrex Academy →

More from Statistics

The variance of a set of 20 observations is 16. If 7 is added to each observation, and then 5 is subtracted from each resulting observation, what will be the new standard deviation 2026If for a distribution of 20 items, (x - 4) = 10 and (x - 4)^2 = 85 then the standard deviation is: 2026Consider the data of scores obtained by students in an examination. If the score of every student is increased by 2 marks, then which of the following statements is TRUE? 2026The mean and standard deviation of 100 items are 50 and 4 , respectively then the sum of all squares of the items is 2026If _ i=1 ^9 (x_i-5 )=9 and _ i=1 ^9 (x_i-5 )^2=45 , then the standard deviation of the nine observations x ₁, x ₂, , x ₉ is 2025Variance of the following continuous frequency distribution is Class Interval 0 – 4 4 – 8 8 – 12 12 – 16 Frequency 1 2 2 1 2025The mean deviation from the median for the following data is x_i 9 3 7 2 5 f_i 1 6 2 8 4 2025The mean deviation about the mean for the following data is Class Interval 0 – 2 2 – 4 4 – 6 6 – 8 8 – 10 Frequency 1 3 4 1 2 2025 Full Statistics list All IAT IISER PYQs