SAT Math Multiple Choice Question 694: Answer and Explanation

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Question: 694

4. The average (arithmetic mean) of a set of 3 positive integers is m. If the number 24 is added to this set, what is the average (arithmetic mean) of the new set of numbers?

  • A. Images
  • B. Images
  • C. m + 8
  • D. Images

Correct Answer: B

Explanation:

B

Data Analysis (central tendency) EASY

Let's call the 3 positive integers a, b, and c. If the average of these numbers is m, then

Images

Multiply by 3:

a + b + c = 3m

New average when 24 is included in the set:

Images

Substitute a + b + c = 3m:

Images

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