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Suppose a population A has 100 observations 101,102, , 200 , and another population B has 100 observations 151,152, , 250 . If V_A and V_B represent the variances of the two populations, respectively, then V_A V_B is

Options

  1. A1
  2. B9/4
  3. C4/9
  4. D2/3

Correct answer

A. 1

Step-by-step solution

_x^2= d₁^2 n . (Here deviations are taken from the mean) Since A and B both has 100 consecutive integers, therefore both have same standard deviation and hence the variance. V_A V_B =1 ( . As d_i^2 is same in both the cases).

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