Find the standard deviation for the given data. Round your answer to one more decimal place than the original data.
-$3,5,6,6,9,1$
A) $7.6$
B) $2.8$
C) $2.5$
D) $5.4$

Question

Quizplus · Accepted Answer

The standard deviation is calculated by finding the square root of the variance. First, find the mean: $(3+5+6+6+9+1)/6 = 30/6 = 5$. Then, calculate each data point's deviation from the mean, square those deviations, and find their average. The squared deviations are $(3-5)^2=4$, $(5-5)^2=0$, $(6-5)^2=1$, $(6-5)^2=1$, $(9-5)^2=16$, and $(1-5)^2=16$. The average of these squared deviations is $(4+0+1+1+16+16)/6 = 38/6 = 6.333...$. The square root of 6.333... is approximately 2.5166, which rounds to 2.8 when rounded to one more decimal place than the original data.

Find the Standard Deviation for the Given Data 3,5,6,6,9,13,5,6,6,9,13,5,6,6,9,1 A) 7.67.67.6 B) 2.82.82.8

Find the Standard Deviation for the Given Data $3,5,6,6,9,1$ A) $7.6$ B) $2.8$