Q74 / 160 · AP EAMCET 2023 (17 May Shift 1) · Mathematics

If each of the observations $x_1, x_2, \ldots, x_n$ is increased or decreased by $k$, where $k$ is a positive number, then the variance of the da

  • A
    increases by $\mathrm{k}$
  • Correct answer
    B
    do not change
  • C
    is equal to $\mathrm{k}^2$
  • D
    is equal to $2 \mathrm{k}$

Solution

If each of the observations $x_1, x_2, \ldots x_n$ is increased or decreased by $k$ then mean and variance of the obtained data remains unchanged.

Hence, the correct answer is option: 'B'.

Relevant Questions