Home » Calculate the standard deviation of the following data: 7, 8, 9, 10, 11, 12, 13.

Calculate the standard deviation of the following data: 7, 8, 9, 10, 11, 12, 13.

Calculate the standard deviation of the following data: 7, 8, 9, 10, 11, 12, 13.
  • A.
    2
  • B.
    4
  • C.
    10
  • D.
    11
Correct Answer: Option A
Explanation

(begin{array}{c|c} x & x – x & (x – x)^2\ hline 7 & -3 & 9\8 & -2 & 4 \9 & -1 & 1\10 & 0 & 1\11 & 1 & 1\ 12 & 2 & 4\13 & 3 & 9\ hline & & 28end{array})
S.D = (sqrt{frac{sum(x – x)^2}{N}})
= (sqrt{frac{sum d^2}{N}})
= (sqrt{frac{28}{7}})
= (sqrt{4})
= 2

Related:  In the diagram, KL//MN, ∠LKP = 30o and ∠NMP = 45o. Find the size of...