Exhibit 3-3
A researcher has collected the following sample data. The mean of the sample is 5.
3 5 12 3 2
-Refer to Exhibit 3-3. The standard deviation is
A)8.944
B)4.062
C)13.2
D)16.5

Question

Quizplus · Accepted Answer

To find the standard deviation, first find the variance by subtracting each data point from the mean, squaring the differences, adding them up, and dividing by the sample size minus one (n-1).

Variance = [(3-5)^2 + (5-5)^2 + (12-5)^2 + (3-5)^2 + (2-5)^2]/(5-1) = 42/4 = 10.5

Then take the square root of the variance to get the standard deviation.

Standard deviation = sqrt(10.5) = 4.062.

Exhibit 3-3 A Researcher Has Collected the Following Sample Data. the Mean