Home » Find the standard derivation of the following data -5, -4, -3, -2, -1, 0, 1,…

Find the standard derivation of the following data -5, -4, -3, -2, -1, 0, 1,…

Find the standard derivation of the following data -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5
  • A.
    2
  • B.
    3
  • C.
    (sqrt{10})
  • D.
    (sqrt{11})
Correct Answer: Option C
Explanation

x = (frac{sum x}{N})
= (frac{0}{11})
= 0
(begin{array}{c|c} x & (x – x) & (x – x)^2 \hline -5 & -5 & 25 \ -4 & -4 & 16 \-3 & -3 & 9 \ -2 & -2 & 4 \ -1 & -1 & 1\ 0 & 0 & 0\ 1 & 1 & 1\ 2 & 2 & 4\ 3 & 3 & 9\ 4 & 4 & 16 \5 & 5 & 25\ hline & & 110end{array})
S.D = (sqrt{frac{sum(x – x)^2}{sum f}})
= (sqrt{frac{110}{11}})
= (sqrt{10})

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