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. NOTE: In the bottom right corner of each question, you will see an option to check answer. Click this to check your answer before moving on to the next question. It will not tell you the correct answer, but it will tell you if the answer you selected is correct. You can use this feature once per question. (3 points) Responses 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 B has a lower median temperature than City A. City B has a lower median temperature than City A. The interquartile range for City B is larger than the interquartile range for City A. The interquartile range for City B is larger than the interquartile range for City A. 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. 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 A has a smaller range of temperatures than City B. City A has a smaller range of temperatures than City B.
Answers
GPT-4o mini
To determine the correct statements about the temperature data for City A and City B, we will analyze each statement based on typical data comprehension regarding measures like maximum value, median, interquartile range (IQR), and mean.
1. **City B is likely to have more warm days than City A because the maximum value is greater.**
- This might not be automatically true, as a higher maximum does not guarantee more warm days.
2. **City B has a lower median temperature than City A.**
- This statement could be true depending on the data presented.
3. **The interquartile range for City B is larger than the interquartile range for City A.**
- This could indicate more variability in temperatures in City B compared to City A, making it a plausible true statement if the data supports it.
4. **City A is likely to have very hot days and extreme temperatures because the mean is larger than that of City B.**
- A higher mean may suggest that City A has a tendency for higher temperatures, potentially including more extreme values.
5. **City A is likely to have colder temperatures because the interquartile range is smaller than that of City B.**
- A smaller IQR could imply less variability (more consistent temperatures), but it does not necessarily imply that City A is colder.
6. **City A has a smaller range of temperatures than City B.**
- This could be true if the data shows it, indicating less extreme fluctuation in temperatures.
Based on the possible interpretations of the statistics presented, we could logically select statements that relate to comparisons of median, interquartile range, and the implications of the mean in determining temperature variability.
Assuming typical statistics interpretation, the three statements that are likely correct could be:
1. "City B has a lower median temperature than City A."
2. "The interquartile range for City B is larger than the interquartile range for City A."
3. "City A is likely to have very hot days and extreme temperatures because the mean is larger than that of City B."
The final selection depends on the actual temperature data you have; however, these interpretations can serve as a guide. Please check your graphs/data to confirm these selections.
1. **City B is likely to have more warm days than City A because the maximum value is greater.**
- This might not be automatically true, as a higher maximum does not guarantee more warm days.
2. **City B has a lower median temperature than City A.**
- This statement could be true depending on the data presented.
3. **The interquartile range for City B is larger than the interquartile range for City A.**
- This could indicate more variability in temperatures in City B compared to City A, making it a plausible true statement if the data supports it.
4. **City A is likely to have very hot days and extreme temperatures because the mean is larger than that of City B.**
- A higher mean may suggest that City A has a tendency for higher temperatures, potentially including more extreme values.
5. **City A is likely to have colder temperatures because the interquartile range is smaller than that of City B.**
- A smaller IQR could imply less variability (more consistent temperatures), but it does not necessarily imply that City A is colder.
6. **City A has a smaller range of temperatures than City B.**
- This could be true if the data shows it, indicating less extreme fluctuation in temperatures.
Based on the possible interpretations of the statistics presented, we could logically select statements that relate to comparisons of median, interquartile range, and the implications of the mean in determining temperature variability.
Assuming typical statistics interpretation, the three statements that are likely correct could be:
1. "City B has a lower median temperature than City A."
2. "The interquartile range for City B is larger than the interquartile range for City A."
3. "City A is likely to have very hot days and extreme temperatures because the mean is larger than that of City B."
The final selection depends on the actual temperature data you have; however, these interpretations can serve as a guide. Please check your graphs/data to confirm these selections.