Statistics · JEE Preparation Mathematics

The covariance between variables X and Y is 12. If the standard deviations of X and Y are 3 and 8 respectively, what is their coefficient of correlat…

Practice question from Statistics (JEE Preparation Mathematics), with the correct answer and a step-by-step solution.

hard · MCQ · Q-AE0661

The covariance between variables X and Y is 12. If the standard deviations of X and Y are 3 and 8 respectively, what is their coefficient of correlation?

  1. A.0.25
  2. B.0.5Correct answer
  3. C.2
  4. D.32

Solution

The coefficient of correlation is r=Cov⁡(X,Y)σXσYr=\frac{\operatorname{Cov}(X,Y)}{\sigma_X\sigma_Y}. Thus, r=123×8=0.5r=\frac{12}{3\times 8}=0.5.

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