month admiral autos countywide cars jan 4 9 feb 19 17 mar 15 14 apr 10 10 may 17 15 which statements are…

month admiral autos countywide cars jan 4 9 feb 19 17 mar 15 14 apr 10 10 may 17 15 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. the data for admiral autos shows greater variability.

month admiral autos countywide cars jan 4 9 feb 19 17 mar 15 14 apr 10 10 may 17 15 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. the data for admiral autos shows greater variability.

Answer

Explanation:

Step1: Calculate mean for Admiral Autos

Mean = $\frac{4 + 19+15+10+17}{5}=\frac{65}{5}=13$

Step2: Calculate mean for Countywide Cars

Mean = $\frac{9 + 17+14+10+15}{5}=\frac{65}{5}=13$

Step3: Arrange Admiral Autos data in ascending - order: 4, 10, 15, 17, 19. Median is 15.

Arrange Countywide Cars data in ascending - order: 9, 10, 14, 15, 17. Median is 14.

Step4: Calculate total for Admiral Autos

Total = $4 + 19+15+10+17 = 65$

Step5: Calculate total for Countywide Cars

Total = $9 + 17+14+10+15 = 65$

Step6: Calculate range for Admiral Autos

Range = $19 - 4=15$

Step7: Calculate range for Countywide Cars

Range = $17 - 9 = 8$

Step8: Analyze variability

The range of Admiral Autos (15) is greater than the range of Countywide Cars (8), so Admiral Autos has greater variability.

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. The data for Admiral Autos shows greater variability.