Given the set of data below, find the standard deviation. $$2,4,4,5,6,9$$
A) 2.37
B) 4.5
C) 4.74
D) 5.6

Question

Quizplus · Accepted Answer

The standard deviation is calculated by finding the square root of the variance. First, find the mean: $(2+4+4+5+6+9)/6 = 30/6 = 5$. Then, calculate each data point's deviation from the mean, square those deviations, and find their average. The squared deviations are: $(2-5)^2 = 9$, $(4-5)^2 = 1$, $(4-5)^2 = 1$, $(5-5)^2 = 0$, $(6-5)^2 = 1$, $(9-5)^2 = 16$. The average of these squared deviations is $(9+1+1+0+1+16)/6 = 28/6 = 4.67$. The square root of 4.67 is approximately 2.16, but given the choices and rounding, the closest answer is 2.37, indicating a possible calculation or rounding difference in the provided options.

Given the Set of Data Below, Find the Standard Deviation 2,4,4,5,6,92,4,4,5,6,92,4,4,5,6,9

Given the Set of Data Below, Find the Standard Deviation $2,4,4,5,6,9$