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\begin{tabular}{|c|c|c|}
\hline Month & Admiral Autos & Countywide Cars \\
\hline Jan & 4 & 9 \\
\hline Feb & 19 & 17 \\
\hline Mar & 15 & 14 \\
\hline Apr & 10 & 10 \\
\hline May & 17 & 15 \\
\hline
\end{tabular}

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.

Sagot :

GinnyAnsweridn
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.
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