1道SAT數(shù)學難題.

　　下面為大家搜集了1道SAT數(shù)學難題，供大家在備考的時候進行適當?shù)臏蕚?。解答SAT數(shù)學難題可以比常規(guī)的題目更加容易了解SAT數(shù)學考試的出題思路和方法。下面我們來看看詳細內(nèi)容吧。

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　　Read the following SAT test question and then click on a button to select your answer.　　

　　The table above shows the attendance at the home games of the Central High School football team. If the median attendance for the five games was , and no two games had the same attendance, what is the greatest possible value for ?

　　Answer Choices

　　(A)

　　(B)

　　(C)

　　(D)

　　(E)

　　The correct answer is B

　　Explanation

　　The median of five numbers can be found by putting the numbers in increasing order and picking the middle, or third, number from the list. Putting the four numbers you know in increasing order produces the following list:

　　Thus, if is less than or equal to , the list of the numbers in increasing order will be

　　In either case, the median will be . However, if is greater than , the list of numbers in increasing order will beor or

　　In these cases, the median will be eitheror . Since you know that the median is , it must be true that is less than or equal to . Also, since no two games had the same attendance, the number cannot be equal to . Therore, the greatest possible value of is .

　　以上就是這道SAT數(shù)學難題的全部內(nèi)容，后面附有詳細的答案解析。大家可以在備考自己的SAT數(shù)學考試的時候，進行適當?shù)膮⒖己徒梃b之用。

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