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A weather researcher compared average monthly temperature data for Buenos Aires, Argentina, and Rio de Janeiro, Brazil.

\begin{tabular}{|l|l|l|}
\hline & Buenos Aires & Rio de Janeiro \\
\hline Mean & [tex]$65^{\circ} F$[/tex] & [tex]$76.5^{\circ} F$[/tex] \\
\hline Range & [tex]$16.3^{\circ} F$[/tex] & [tex]$11.1^{\circ} F$[/tex] \\
\hline
\end{tabular}

Based on these data, which statements are true?

A. On average, Buenos Aires has a higher monthly temperature. Its monthly temperatures also vary more.

B. On average, Buenos Aires has a higher monthly temperature. However, temperatures in Rio de Janeiro vary more.

C. On average, Rio de Janeiro has a higher monthly temperature. Its monthly temperatures also vary more.

D. On average, Rio de Janeiro has a higher monthly temperature. However, temperatures in Buenos Aires vary more.

Sagot :

GinnyAnswer
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.
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