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Statistics question

2012 · Shift 0 · Q24
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Statistics question

2012 · Shift 0 · Q24

JEE MainMathematicsStatisticsMCQ+4 / −1
Let x1, x2,........., xn be n observations, and let x‾\overline xx be their arithematic mean and σ2{\sigma ^2}σ2 be their variance. Statement 1 : Variance of 2x1, 2x2,......., 2xn is 4 σ2{\sigma ^2}σ2. Statement 2 : : Arithmetic mean of 2x1, 2x2,......, 2xn is 4 x‾\overline xx.
  1. A
    Statement 1 is false, statement 2 is true
  2. B
    Statement 1 is true, statement 2 is true; statement 2 is a correct explanation for statement 1
  3. C
    Statement 1 is true, statement 2 is true; statement 2 is not a correct explanation for statement 1
  4. D
    Statement 1 is true, statement 2 is false
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