SAT Math Multiple Choice Practice Question 429: Answer and Explanation

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Question: 429

12. In a list of seven integers, 13 is the lowest member, 37 is the highest member, the mean is 23, the median is 24, and the mode is 18. If the numbers 8 and 43 are then included in the list, which of the following will change?

I. The mean

II. The median

III. The mode

A. I only
B. I and II only
C. I and III only
D. II and III only
E. I, II, and III

Correct Answer: A

Explanation:

A Do NOT try to figure out the seven numbers in the original list! The median is the middle number in a list of numbers. Because 8 is lower than every other number, and 43 is higher, they won't change the value of the median. This means that option II is wrong, so you can eliminate B, D, and E. Because A and C both include I, you know it must be true without even checking it. Let's focus on option III. The mode is the number repeated most often. Because 8 and 43 weren't in the original list, they can't change the mode. Eliminate C and pick A.

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