SAT Example (the Mathematics Section)
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CLI 아카데미
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2013-02-09 12:02
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4960
Mathemathics Section: Multiple choice question
10, 18, 4, 15, 3, 21, x
If x is the median of the 7 numbers listed above, which of the following could be the value of x?
(A) 5
(B) 8
(C) 9
(D) 14
(E) 16
<Terms>
1) average – The numerical result of dividing the sum of two or more quantities by the number of quantities.
2) mean – The average of a number of items in a group (total the items and divide by the number of items).
3) median – The middle item in an ordered group. If the group has an even number of items, the median is the average of the two middle terms.
4) mode – A type of average; the number (or numbers) that occurs most frequently in a set of data.
Answer & Explanation: Choice (D) is correct.
If x is the median of the 7 numbers listed, then x must be the middle number when these numbers are listed in order from least to greatest: 3, 4, 10, x, 15, 18, 21. Thus, x must be at least 10 and no greater than 15. Therefore, of the given choices, only 14 could be the value of x.
(practice question from Collegeborad)