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 coefficient of variation is
A)72.66%
B)81.24%
C)264%
D)330%

Question

Quizplus · Accepted Answer

To calculate the coefficient of variation, we first need to find the standard deviation of the sample. Using the formula for sample standard deviation, we get:

s = √[(Σ(x - x̄)^2) / (n - 1)]
s = √[(2^2 + (-0)^2 + (7)^2 + (-2)^2 + (-3)^2) / (5 - 1)]
s = √[(4 + 0 + 49 + 4 + 9) / 4]
s = √(66 / 4)
s = √16.5
s ≈ 4.06

Next, we can calculate the coefficient of variation using the formula:

CV = (s / x̄) x 100%
CV = (4.06 / 5) x 100%
CV ≈ 81.24%

Therefore, the best choice is B.

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