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Sagot :
To determine which statements are supported by the data in the table, we need to analyze the data for both Admiral Autos and Countywide Cars across various statistical metrics: mean, median, total, range, and standard deviation (for variability).
1. Mean Number of Cars Sold:
- Calculate the mean for each dealership.
- If the means are equal, the statement is supported.
2. Median Number of Cars Sold:
- Determine the median for each dealership.
- If the medians are equal, the statement is supported.
3. Total Number of Cars Sold:
- Sum the number of cars sold across all months for each dealership.
- If the totals are equal, the statement is supported.
4. Range of the Number of Cars Sold:
- Compute the range (difference between the maximum and minimum) for each dealership.
- If the ranges are equal, the statement is supported.
5. Variability:
- Calculate the standard deviation for the number of cars sold for each dealership.
- The dealership with a greater standard deviation has greater variability.
Results:
- Mean Number:
The mean number of cars sold per month is the same at both dealerships.
Supported Statement: The mean number of cars sold in a month is the same at both dealerships.
- Median Number:
The median number of cars sold per month is not the same at both dealerships.
Unsupported Statement: The median number of cars sold in a month is the same at both dealerships.
- Total Number of Cars Sold:
The total number of cars sold is the same at both dealerships.
Supported Statement: The total number of cars sold is the same at both dealerships.
- Range of Number of Cars Sold:
The range of the number of cars sold is not the same for both dealerships.
Unsupported Statement: The range of the number of cars sold is the same for both dealerships.
- Variability:
The data for Admiral Autos shows greater variability.
Supported Statement: The data for Admiral Autos shows greater variability.
Therefore, the supported statements are:
1. The mean number of cars sold in a month is the same at both dealerships.
2. The total number of cars sold is the same at both dealerships.
3. The data for Admiral Autos shows greater variability.
1. Mean Number of Cars Sold:
- Calculate the mean for each dealership.
- If the means are equal, the statement is supported.
2. Median Number of Cars Sold:
- Determine the median for each dealership.
- If the medians are equal, the statement is supported.
3. Total Number of Cars Sold:
- Sum the number of cars sold across all months for each dealership.
- If the totals are equal, the statement is supported.
4. Range of the Number of Cars Sold:
- Compute the range (difference between the maximum and minimum) for each dealership.
- If the ranges are equal, the statement is supported.
5. Variability:
- Calculate the standard deviation for the number of cars sold for each dealership.
- The dealership with a greater standard deviation has greater variability.
Results:
- Mean Number:
The mean number of cars sold per month is the same at both dealerships.
Supported Statement: The mean number of cars sold in a month is the same at both dealerships.
- Median Number:
The median number of cars sold per month is not the same at both dealerships.
Unsupported Statement: The median number of cars sold in a month is the same at both dealerships.
- Total Number of Cars Sold:
The total number of cars sold is the same at both dealerships.
Supported Statement: The total number of cars sold is the same at both dealerships.
- Range of Number of Cars Sold:
The range of the number of cars sold is not the same for both dealerships.
Unsupported Statement: The range of the number of cars sold is the same for both dealerships.
- Variability:
The data for Admiral Autos shows greater variability.
Supported Statement: The data for Admiral Autos shows greater variability.
Therefore, the supported statements are:
1. The mean number of cars sold in a month is the same at both dealerships.
2. The total number of cars sold is the same at both dealerships.
3. The data for Admiral Autos shows greater variability.
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