ISEE Quantitative Comparisons Question 166: Answer and Explanation

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Question: 166

7. Carl’s average score on 5 tests is 88 and the mode is 89.

  • A. The quantity in Column A is greater.
  • B. The quantity in Column B is greater.
  • C. The two quantities are equal.
  • D. The relationship cannot be determined from the information given.

Correct Answer: A

Explanation:

A

As 89 is the mode, at a minimum there are two scores of 89. Let x, y, and z represent the three unknown scores, and set up the average formula: = 88. Multiply both sides by 5 to find the sum of the five scores: x + y + z + 89 + 89 = 440. For Column A, let q represent the sixth score and set up another average formula: = 89. Multiply both sides by 6 to find the sum of the six scores: q + x + y + z + 89 + 89 = 534. Subtract the sum of the five scores from the sum of the six scores to find q: 94. Now that you know Column A is 94, proceed to Column B. The median will be the average of the middle two scores. For the median to equal or exceed 94, the remaining three numbers would have to be listed to the right of 94, whi

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