Question

cars sold
month\tadmiral autos\tcountywide cars
jan\t4\t9
feb\t19\t17
mar\t15\t14
apr\t10\t10
may\t17\t15

which statements are supported by the data in the table? check all that apply.

the mean number of cars sold in a month is the same at both dealerships.

the median number of cars sold in a month is the same at both dealerships.

the total number of cars sold is the same at both dealerships.

the range of the number of cars sold is the same for both dealerships.

Explanation:

Step1: Calculate total for Admiral Autos

Sum the values: \(4 + 19 + 15 + 10 + 17 = 65\)

Step2: Calculate total for Countywide Cars

Sum the values: \(9 + 17 + 14 + 10 + 15 = 65\)

Step3: Calculate mean for Admiral Autos

Mean = \(\frac{65}{5} = 13\)

Step4: Calculate mean for Countywide Cars

Mean = \(\frac{65}{5} = 13\)

Step5: Find median for Admiral Autos

Order the data: \(4, 10, 15, 17, 19\). Median is \(15\).

Step6: Find median for Countywide Cars

Order the data: \(9, 10, 14, 15, 17\). Median is \(14\).

Step7: Calculate range for Admiral Autos

Range = \(19 - 4 = 15\)

Step8: Calculate range for Countywide Cars

Range = \(17 - 9 = 8\)

Answer:

• The mean number of cars sold in a month is the same at both dealerships.
• The total number of cars sold is the same at both dealerships.