9
QuizMultiple Select

Summarizing Data Sets with Statistics

Question 9 • *WHS Pre-Algebra - MA3119 B-CR

The table below shows the number of cars sold each month for 5 months at two dealerships.Cars SoldMonthAdmiral AutosCountywide CarsJan49Feb1917Mar1514Apr1010May1715Which statements are supported by the data in the table? Check all that apply.

Answer
A
The mean number of cars sold in a month is the same at both dealerships.
B
The median number of cars sold in a month is the same at both dealerships.
C
The total number of cars sold is the same at both dealerships.
D
The range of the number of cars sold is the same for both dealerships.
E
The data for Admiral Autos shows greater variability.

Explanation

Admiral Autos sold 4, 19, 15, 10, and 17 cars, for a total of 65 and a mean of 65 ÷ 5 = 13. Countywide Cars sold 9, 17, 14, 10, and 15, also totaling 65 with a mean of 13, so A and C are supported. The ranges are 19 − 4 = 15 and 17 − 9 = 8, so Admiral Autos’ sales show greater variability (E). The medians differ: 15 for Admiral Autos and 14 for Countywide Cars.

AI-written and checked against the verified answer.

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