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Statistics question

2023 · 11 Apr · Shift 1 · Q31
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Statistics question

2023 · 11 Apr · Shift 1 · Q31

JEE MainMathematicsStatisticsMCQ+4 / −1
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 A\mathrm{A}A and adding 2 to each element of B\mathrm{B}B. Then the sum of the mean and variance of the elements of C\mathrm{C}C is ‾\underline{\hspace{2cm}}​.
  1. A
    36
  2. B
    40
  3. C
    38
  4. D
    32
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