Digital PSAT Math Practice Question 246: Answer and Explanation

Question: 246

The average monthly temperatures for the cities of Townsville and Cityberg were recorded in the last calendar year. Based on the graph, which statement is true?

• A. The temperature on a randomly selected day in Townsville will be greater than the temperature on a randomly selected day in Cityberg.
• B. The temperature on a randomly selected day in Cityberg will be greater than the temperature on a randomly selected day in Townsville.
• C. The average monthly temperature in Townsville was greater than the average monthly temperature in Cityberg for the majority of the year.
• D. The average monthly temperature in Cityberg was greater than the average monthly temperature in Townsville for the majority of the year.

Correct Answer: C

Explanation:

(C) From the graph, you can tell that the average monthly temperature in Townsville is greater than that in Cityberg for April, May, June, July, August, September, October, and November, or 8 months. This excessive temperature is sufficient to outweigh the lesser average that Townsville is in the remaining four months to make its average monthly temperature greater than that of Cityberg. Therefore, choice (C) is correct. (A) and (B) are incorrect because the graph doesn't tell you anything about the temperature on any random day. (D) is incorrect because the average temperature in Cityberg is only greater for January, February, March, and December.