Mathematics

Find the value of t if the standard deviation of 2t, 3t, 4t, 5t, and…

Find the value of t if the standard deviation of 2t, 3t, 4t, 5t, and 6t is √2
  • A.
    1
  • B.
    2
  • C.
    3
  • D.
    4
Correct Answer: Option A
Explanation

(mean(x) = frac{20t}{5} = 4t\standardhspace{1mm}deviation=sqrt{frac{10t^2}{5}}\sqrt{2}=sqrt{frac{10t^2}{5}}\sqrt{2}=sqrt{2t^2}\2 = 2t^2\t^2=1\t=1)