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If the variance of 3+x, 6, 4, x and 7-x is 4 and the mean…

If the variance of 3+x, 6, 4, x and 7-x is 4 and the mean is 5, find the standard deviation
  • A.
    (sqrt{3})
  • B.
    2
  • C.
    3
  • D.
    (sqrt{2})
Correct Answer: Option B
Explanation

Let (delta^2) and (delta) denote the variance and standard deviation of the distribution respectively.
But (delta^2) = 4 (given)
Hence (delta) = (sqrt{4}) = 2

There is an explanation video available below.

Explanation Video

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