In the annual report, a major food chain stated that the distribution of daily sales at its Detroit stores is known to be bell-shaped, and that 95 percent of all daily sales fell between $19,200 and $36,400. Based on this information, what were the mean sales?
A) Around $20,000
B) Close to $30,000
C) Approximately $27,800
D) Can't be determined without more information.

Question

Quizplus · Accepted Answer

The mean is the average of the data, which is typically in the middle of the distribution. Since 95% of the data falls between $19,200 and $36,400, the mean must be within this range. The midpoint of this range is $27,800, which is the most likely value for the mean.

In the Annual Report, a Major Food Chain Stated That