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.

Question

(3 points)
Responses

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 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 B has a larger range of temperatures than City A.
City B has a larger range of temperatures than City A.

City A has a higher median temperature than City B.
City A has a higher median temperature than City B.

City B is likely to have more warm days than City A because the maximum value is greater.

Answer 1

To evaluate the statements given about the two cities, we would need to analyze the temperature data sets based on interquartile range, mean temperatures, median temperatures, and maximum values. However, as I don't have access to the specific graphs or data sets that Logan gathered, I can help you understand how to assess these statements.

Here’s how you can determine the truthfulness of the statements:

1. Interquartile Range (IQR):

   • Compare the IQR for both cities. If the IQR of City A is indeed smaller than that of City B based on your analysis, then the first statement is true.

2. Mean and Extremes:

   • If City A has a mean temperature that is significantly larger than that of City B, it may indicate that City A experiences hotter days. Thus, if this observation holds true, the second statement can be accepted.

3. Cold Temperatures:

   • The IQR is a measure of variability. If City A has a smaller IQR but the mean is larger, it may not necessarily indicate that City A has colder temperatures. Therefore, this statement might not be true.

4. Overall Temperature Range:

   • If you find that City B has a larger range (difference between the maximum and minimum temperatures) than City A, then the fourth statement is true.

5. Median Temperature:

   • If you can calculate and confirm that City A has a higher median temperature than City B, then the fifth statement is true.

6. Warm Days:

   • If the maximum temperature for City B is indeed greater than that of City A, it could imply that City B has more warm days, making the sixth statement true.

To summarize, you will need to analyze the graphed data to determine the accuracy of the statements. The three that could potentially be true based on your findings would be selected according to the measures discussed above. If you provide data or results from the graphs, I can assist further in interpreting them!