ISEE Quantitative Comparisons Question 175: Answer and Explanation

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Question: 175

16. In a set of five numbers, the mode is 4, the median is 4, and the range is 4.

• 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: D

Explanation:

D

Start with what you know and begin a list. The middle of five numbers is 4, and there are at least two 4s: _, _, 4, 4, _. (Note that the second 4 could be to the left of the median.) Given that the range (largest – smallest) is 4, there are a number of possibilities. Write one or two, just to get a sense of how things might look: 1, _, 4, 4, 5 & 2, _, 4, 4, 6. Now address Column B. A good way to think of mean is Total = Average × Number (TAN). Here, the number of numbers is 5, and the average is 4. Thus, the total of all five numbers when added is 20 (4 × 5). Put a number, such as 2, into the first list and find the average:

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