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.
City A
(3 points)
City B
++
Item 7
Item 8
Item 9
Item 10
Item 11
Item 12
City B has a larger range of temperatures than City A.
Item 13
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 a colder temperatures because the interquartile range is smaller than that of City B.
City A has a higher median temperature than City B.
The interquartile range for City A is smaller than the interquartile range for City B.
City A
(3 points)
City B
++
Item 7
Item 8
Item 9
Item 10
Item 11
Item 12
City B has a larger range of temperatures than City A.
Item 13
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 a colder temperatures because the interquartile range is smaller than that of City B.
City A has a higher median temperature than City B.
The interquartile range for City A is smaller than the interquartile range for City B.
Answers
GPT-4o mini
To determine which statements about the temperature data sets for City A and City B are true, you would typically need to analyze specific data points such as the maximum, minimum, mean, median, and interquartile ranges (IQR) for both cities. However, since I don't have access to the actual graphs or data you're referencing, I'll guide you through how you might evaluate each statement based on common interpretations of such data:
1. **City B has a larger range of temperatures than City A.**
- This statement can be verified by examining the max and min temperatures for both cities. If City B's temperature maximum is significantly higher or its minimum is lower than City A's, this statement could be true.
2. **City B is likely to have more warm days than City A because the maximum value is greater.**
- While a higher maximum temperature might suggest more potential for warm days, it doesn't guarantee it would have more warm days without knowing the distribution of temperatures. Thus, this statement could be true but isn't definitive based solely on the maximum value.
3. **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 could indicate that City A experiences higher temperatures on average which might suggest more very hot days. This statement could be true.
4. **City A is likely to have colder temperatures because the interquartile range is smaller than that of City B.**
- A smaller IQR could suggest less variability in middle 50% of data. However, it doesn't necessarily indicate that City A is colder overall or relative to City B without knowing specific temperature values.
5. **City A has a higher median temperature than City B.**
- This statement can be verified by comparing the median values. If City A’s median is indeed higher than City B’s, this statement would be true.
6. **The interquartile range for City A is smaller than the interquartile range for City B.**
- This can be a true statement if the calculated IQR for City A is indeed less than that of City B.
To arrive at the correct answers, you need to evaluate the data visually or through calculations. Based on typical interpretations and the comparison strategies you might use, the following statements seem to hold the most truth:
- City B has a larger range of temperatures than City A. (Maybe true, depending on the data).
- City A has a higher median temperature than City B. (Should verify with median values, but it might be true).
- The interquartile range for City A is smaller than the interquartile range for City B. (This statement might also be true based on your findings).
Ultimately, to accurately select the three true statements, you would need to analyze the provided temperature graphs.
1. **City B has a larger range of temperatures than City A.**
- This statement can be verified by examining the max and min temperatures for both cities. If City B's temperature maximum is significantly higher or its minimum is lower than City A's, this statement could be true.
2. **City B is likely to have more warm days than City A because the maximum value is greater.**
- While a higher maximum temperature might suggest more potential for warm days, it doesn't guarantee it would have more warm days without knowing the distribution of temperatures. Thus, this statement could be true but isn't definitive based solely on the maximum value.
3. **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 could indicate that City A experiences higher temperatures on average which might suggest more very hot days. This statement could be true.
4. **City A is likely to have colder temperatures because the interquartile range is smaller than that of City B.**
- A smaller IQR could suggest less variability in middle 50% of data. However, it doesn't necessarily indicate that City A is colder overall or relative to City B without knowing specific temperature values.
5. **City A has a higher median temperature than City B.**
- This statement can be verified by comparing the median values. If City A’s median is indeed higher than City B’s, this statement would be true.
6. **The interquartile range for City A is smaller than the interquartile range for City B.**
- This can be a true statement if the calculated IQR for City A is indeed less than that of City B.
To arrive at the correct answers, you need to evaluate the data visually or through calculations. Based on typical interpretations and the comparison strategies you might use, the following statements seem to hold the most truth:
- City B has a larger range of temperatures than City A. (Maybe true, depending on the data).
- City A has a higher median temperature than City B. (Should verify with median values, but it might be true).
- The interquartile range for City A is smaller than the interquartile range for City B. (This statement might also be true based on your findings).
Ultimately, to accurately select the three true statements, you would need to analyze the provided temperature graphs.