A business analyst is considering a data set reflecting the number of products purchased at one time, there is a mean of 159 and a standard deviation of 43.2.Given that the data set the number of products purchased for 5,791 purchases and is mound shaped, the analyst would expect 68% of the data points to be ________.
A)between 115.8 and 202.2
B)less than 5,791
C)between 72.6 and 245.4
D)greater than 61
E)between 43.2 and 159

Question

Quizplus · Accepted Answer

For a mound-shaped (normal) distribution, 68% of the data points lie within one standard deviation of the mean. The mean is 159, and one standard deviation is 43.2. Adding and subtracting one standard deviation from the mean gives the range 115.8 (159 - 43.2) to 202.2 (159 + 43.2).

A Business Analyst Is Considering a Data Set Reflecting the Number