Statistics and Probability: JEE Main 2023 Mathematics question

JEE Main 2023 · 11 Apr, Morning shift · Q5485

JEE Main 202311 Apr, Morning shiftMathematicsHardStatistics and Probability258× since 2002

Let sets A and B have 5 elements each. Let the mean of the elements in sets A and B be 5 and 8 respectively and the variance of the elements in sets A and B be 12 and 20 respectively. A new set C of 10 elements is formed by subtracting 3 from each element of

\mathrm{A}

and adding 2 to each element of

\mathrm{B}

. Then the sum of the mean and variance of the elements of

\mathrm{C}

is ___________.

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