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Find the standard deviation of 2,3,8,10 and 12

Find the standard deviation of 2,3,8,10 and 12
  • A.
    3.9
  • B.
    4.9
  • C.
    5.9
  • D.
    6.9
Correct Answer: Option A
Explanation

(begin{array}{c|c} x & (x – varkappa) & (x – varkappa)^2 \ hline 2 & -5 & 25 \ hline 3 & -4 & 16 \ hline 8 & 1 & 1 \ hline 10 & 3 & 9 \ hline 12 & 5 & 25 \ hline & & 76
end{array})
S.D = (sqrt{frac{(x – varkappa)^2}{n}})
S.D = (sqrt{frac{76}{5}})
S.D = 3.9

There is an explanation video available below.

Explanation Video