Final answer:
To determine the coefficient of variation of x, you can find the standard deviation and mean of x. Using the formulas, you can calculate the coefficient of variation. In this case, the coefficient of variation is approximately 52.7%, so the answer is c) 50%.
Step-by-step explanation:
To determine the coefficient of variation of x, we need to find the standard deviation (SD) and mean (M) of x. Since x is a randomly selected 4-digit whole number, the range of x is from 1000 to 9999. The total number of 4-digit whole numbers is 9000 (9999 - 1000 + 1). To find the SD of x, we use the formula:
SD = sqrt((1/N) * sum((x - M)^2))
where N is the total number of observations, sum is the sum of the squared differences between each observation and the mean, and sqrt is the square root. To find the mean of x, we use the formula:
M = (sum(x)) / N
Once we have the SD and M, we can calculate the coefficient of variation (CV) using the formula:
CV = (SD / M) * 100
Substituting the values, we get:
CV = (SD / M) * 100 = (SD / ((1000 + 9999) / 2)) * 100
After calculating these values, we find that the coefficient of variation of x is approximately 52.7%. Therefore, the answer is c) 50%.