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TS EAMCET · Maths · Statistics

The variance of the first 10 natural numbers which are multiples of 3 is

  1. A 53
  2. B 73
  3. C 52.5
  4. D 74.25
Verified Solution

Answer & Solution

Correct Answer

(D) 74.25

Step-by-step Solution

Detailed explanation

\begin{array}{|c|c|c|}\hline \mathbf{X} & \mathbf{X}-\mu & (\mathbf{X}-\mu)^2 \\\hline 3 & -13.5 & 182.25 \\6 & -10.5 & 110.25 \\9 & -7.5 & 56.25 \\12 & -4.5 & 20.25 \\15 & -1.5 & 2.25 \\18 & 1.5 & 2.25 \\21 & 4.5 & 20.25 \\24 & 7.5 & 56.25 \\27 & 10.5 & 110.25 \\30 & 13.5 &…