To solve this question, we need to analyze the average monthly temperature and the range of monthly temperatures for both cities, Buenos Aires and Rio de Janeiro.
First, let's take a look at the data given:
- Buenos Aires:
- Mean temperature: [tex]\(65^{\circ} F\)[/tex]
- Range of temperatures: [tex]\(16.3^{\circ} F\)[/tex]
- Rio de Janeiro:
- Mean temperature: [tex]\(76.5^{\circ} F\)[/tex]
- Range of temperatures: [tex]\(11.1^{\circ} F\)[/tex]
Now, we need to determine which city has the higher average temperature and which city's temperatures vary more.
### Step 1: Determine which city has the higher average temperature
- Buenos Aires: [tex]\(65^{\circ} F\)[/tex]
- Rio de Janeiro: [tex]\(76.5^{\circ} F\)[/tex]
Comparison:
[tex]\[ 76.5^{\circ} F > 65^{\circ} F \][/tex]
Thus, Rio de Janeiro has the higher average monthly temperature.
### Step 2: Determine which city's temperatures vary more
- Buenos Aires: [tex]\(16.3^{\circ} F\)[/tex]
- Rio de Janeiro: [tex]\(11.1^{\circ} F\)[/tex]
Comparison:
[tex]\[ 16.3^{\circ} F > 11.1^{\circ} F \][/tex]
Thus, Buenos Aires has more variation in its monthly temperatures.
### Step 3: Match these findings to the given statements
Based on the analysis:
1. Rio de Janeiro has a higher average monthly temperature.
2. Buenos Aires has more variation in its monthly temperatures.
Let's compare this with the provided statements:
- Statement A: On average, Buenos Aires has a higher monthly temperature. Its monthly temperatures also vary more.
- This statement is false because Rio de Janeiro has a higher average temperature.
- Statement B: On average, Buenos Aires has a higher monthly temperature. However, temperatures in Rio de Janeiro vary more.
- This statement is false because Rio de Janeiro has the higher average temperature, not Buenos Aires, and Buenos Aires has more variation.
- Statement C: On average, Rio de Janeiro has a higher monthly temperature. Its monthly temperatures also vary more.
- This statement is false because, while Rio de Janeiro does have the higher average temperature, its temperatures vary less, not more.
- Statement D: On average, Rio de Janeiro has a higher monthly temperature. However, temperatures in Buenos Aires vary more.
- This statement is true because it accurately states that Rio de Janeiro has the higher average temperature and Buenos Aires has more variation in temperatures.
Thus, the correct statement is D: On average, Rio de Janeiro has a higher monthly temperature. However, temperatures in Buenos Aires vary more.
