Question
Logan wants to move to a new city. He gathered graphs of temperatures for two different cities. Which statements about the data sets shown are true? Select the three that apply. (3 points) Responses City B has a larger range of temperatures than City A. City B has a larger range of temperatures than City A. City A is likely to have a colder temperatures because the interquartile range is smaller than that of City B. City A is likely to have a colder temperatures because the interquartile range is smaller than that of City B. City B is likely to have more warm days than City A because the maximum value is greater. City B is likely to have more warm days than City A because the maximum value is greater. City A is likely to have very hot days and extreme temperatures because the mean is larger than that of City B. City A is likely to have very hot days and extreme temperatures because the mean is larger than that of City B. The interquartile range for City A is smaller than the interquartile range for City B. The interquartile range for City A is smaller than the interquartile range for City B. City A has a higher median temperature than City B. City A has a higher median temperature than City B. Skip to navigation Formula
Answers
GPT-4o mini
To evaluate the statements about the temperature data for City A and City B, let's break down the possible true statements based on general principles of statistics and temperature ranges.
1. **City B has a larger range of temperatures than City A.**
- This statement can only be confirmed by looking at the actual values in the graphs. If the maximum temperature for City B exceeds the maximum of City A by a larger difference than their minimum temperatures, this statement would be true.
2. **City A is likely to have colder temperatures because the interquartile range is smaller than that of City B.**
- The interquartile range (IQR) indicates the middle 50% of data and does not directly measure whether one city is colder than another. Therefore, this statement might not necessarily be true.
3. **City B is likely to have more warm days than City A because the maximum value is greater.**
- If City B's maximum temperature is significantly higher than that of City A, it is reasonable to conclude that there are likely more warm days in City B.
4. **City A is likely to have very hot days and extreme temperatures because the mean is larger than that of City B.**
- A larger mean does suggest the presence of higher temperature days, potentially indicating extreme temperatures; however, it depends on the distribution of the data.
5. **The interquartile range for City A is smaller than the interquartile range for City B.**
- If we are comparing interquartile ranges directly from graphs and see that City A has a smaller range, this statement would be true.
6. **City A has a higher median temperature than City B.**
- Whether this is true depends on the actual values of the median temperatures as seen in the graphs.
Based on statistical reasoning, we would likely select the statements about the maximum values and the interquartile range if they are confirmed through the given graphs. Therefore, the three statements that apply might be:
- **City B has a larger range of temperatures than City A.**
- **City B is likely to have more warm days than City A because the maximum value is greater.**
- **The interquartile range for City A is smaller than the interquartile range for City B.**
To be absolutely certain, one must review the specific graphs to see the actual maximum, interquartile range, and mean values for both cities for confirmation.
1. **City B has a larger range of temperatures than City A.**
- This statement can only be confirmed by looking at the actual values in the graphs. If the maximum temperature for City B exceeds the maximum of City A by a larger difference than their minimum temperatures, this statement would be true.
2. **City A is likely to have colder temperatures because the interquartile range is smaller than that of City B.**
- The interquartile range (IQR) indicates the middle 50% of data and does not directly measure whether one city is colder than another. Therefore, this statement might not necessarily be true.
3. **City B is likely to have more warm days than City A because the maximum value is greater.**
- If City B's maximum temperature is significantly higher than that of City A, it is reasonable to conclude that there are likely more warm days in City B.
4. **City A is likely to have very hot days and extreme temperatures because the mean is larger than that of City B.**
- A larger mean does suggest the presence of higher temperature days, potentially indicating extreme temperatures; however, it depends on the distribution of the data.
5. **The interquartile range for City A is smaller than the interquartile range for City B.**
- If we are comparing interquartile ranges directly from graphs and see that City A has a smaller range, this statement would be true.
6. **City A has a higher median temperature than City B.**
- Whether this is true depends on the actual values of the median temperatures as seen in the graphs.
Based on statistical reasoning, we would likely select the statements about the maximum values and the interquartile range if they are confirmed through the given graphs. Therefore, the three statements that apply might be:
- **City B has a larger range of temperatures than City A.**
- **City B is likely to have more warm days than City A because the maximum value is greater.**
- **The interquartile range for City A is smaller than the interquartile range for City B.**
To be absolutely certain, one must review the specific graphs to see the actual maximum, interquartile range, and mean values for both cities for confirmation.