A small kiosk at the Atlanta airport carries souvenirs in the price range of $$\(\$ 3.99\)$$ to $$\(\$ 29.99\)$$, with a mean price of $$\(\$ 14.75\)$$. The airport authorities decide to increase the rent charged for a kiosk by 5 percent. To make up for the increased rent, the kiosk owner decides to increase the prices of all items by 50 cents. As a result, which of the following will happen?

A.
The mean price and the range of prices will increase by 50 cents.
B.
The mean price will remain the same, but the range of prices will increase by 50 cents.
C.
The mean price and the standard deviation of prices will increase by 50 cents.
D.
The mean price will increase by 50 cents, but the standard deviation of prices will remain the same.
E.
The mean price and the standard deviation will remain the same.
Statistics
AP
College Board
Exam No:AP Statistics Problem Set 10 Year:2024 Question No:APStatistics2024AP0423

Answer:

D

Knowledge points:

1.6 Describing the Distribution of a Quantitative Variable
1.7 Summary Statistics for a Quantitative Variable

Solution:

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