JEE MATHEMATICS MCQ: STATISTICS

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Application +4 | -1

If variance of

X, Y, X-Y

are respectively

\sigma_x^2, \sigma_y^2, \sigma_{x-y}^2

, then the coefficient of correlation

r

between two variables

X

and

Y

is given by

View answer and explanation

Correct option: B

\frac{\sigma_x^2+\sigma_y^2-\sigma_{x-y}^2}{2 \sigma_x-\sigma_y}

Option D (

\frac{{\sigma_x^2+\sigma_y^2-\sigma_{x-y}^2}}{{2 \sigma_x \sigma_y}}

) is correct because it is the formula for the correlation coefficient derived from the variances of X, Y, and X-Y.

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