Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
AP EAMCET2016MathematicsStatistics

If the mean of 10 observations is 50 and the sum of the squares of the deviations of the observations from the mean is 250, then the coefficient of variation of thoseobservations is

Options

  1. A25
  2. B50
  3. C10
  4. D5

Correct answer

C. 10

Step-by-step solution

Given, number of observation, n=10 , Mean, x =50 and |x i- x |^2=250 Variance, ^2= _ i=1 ^n |x_i- x |^2 n gathered ^2= _ i=1 ¹⁰ |x_i- x ^2 | 10 = 250 10 =25 =5 gathered Cofficient of variation, C.V. = x 100= 5 50 100=10

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 AP EAMCET PYQs