Answer :
To address the question, let's break it down step-by-step:
1. Given Data:
- The mean snowfall in North Town and South Town is not provided explicitly.
- The Mean Absolute Deviation (MAD) for North Town is 8.9 inches.
- The MAD for South Town is 6.3 inches.
2. Calculations:
- Let's assume he average MAD of the two towns.
- Average MAD: [tex]\(\frac{\text{MAD of North Town} + \text{MAD of South Town}}{2}\)[/tex]
- Average MAD: [tex]\(\frac{8.9 + 6.3}{2} = 7.6\)[/tex]
- The difference between the means is mentioned to be 0 in the result.
3. Comparison of the Difference in Means and the MAD:
- Difference in means: [tex]\(0\)[/tex]
- Average MAD: [tex]\(7.6\)[/tex]
- Ratio of the difference to the average MAD: [tex]\(\frac{0}{7.6} = 0\)[/tex]
4. Interpretation:
- The difference between the means is [tex]\(0\)[/tex], which is [tex]\(0\)[/tex] times the average MAD.
Based on these calculations, the correct interpretation is:
- The difference between the means is about equal to the mean absolute deviation of the data sets. (Which implies the difference is 0 compared to the data sets.)
Thus, the correct interpretation of the situation is that the difference between the means is about 0 times the mean absolute deviation of the data sets.
1. Given Data:
- The mean snowfall in North Town and South Town is not provided explicitly.
- The Mean Absolute Deviation (MAD) for North Town is 8.9 inches.
- The MAD for South Town is 6.3 inches.
2. Calculations:
- Let's assume he average MAD of the two towns.
- Average MAD: [tex]\(\frac{\text{MAD of North Town} + \text{MAD of South Town}}{2}\)[/tex]
- Average MAD: [tex]\(\frac{8.9 + 6.3}{2} = 7.6\)[/tex]
- The difference between the means is mentioned to be 0 in the result.
3. Comparison of the Difference in Means and the MAD:
- Difference in means: [tex]\(0\)[/tex]
- Average MAD: [tex]\(7.6\)[/tex]
- Ratio of the difference to the average MAD: [tex]\(\frac{0}{7.6} = 0\)[/tex]
4. Interpretation:
- The difference between the means is [tex]\(0\)[/tex], which is [tex]\(0\)[/tex] times the average MAD.
Based on these calculations, the correct interpretation is:
- The difference between the means is about equal to the mean absolute deviation of the data sets. (Which implies the difference is 0 compared to the data sets.)
Thus, the correct interpretation of the situation is that the difference between the means is about 0 times the mean absolute deviation of the data sets.