PSAT Math Multiple-Choice Question 748: Answer and Explanation

Question: 748

If a third graph of 1,000 randomly selected values were created, what would most likely be the average of the randomly selected values?

• A. 35
• B. 50
• C. 60
• D. 75

Correct Answer: B

Explanation:

(B) Since the data set would be far larger than either of the data sets portrayed and since the values are selected at random, it is most reasonable to conclude that the average (mean) of the set of 1,000 randomly selected values would be 50. Generally speaking, the larger your data sample, the more likely your actual mean will approach your estimated mean.