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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 be or 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 . Therefore, the greatest possible value of is .
以上就是这道SAT数学难题的全部内容，后面附有详细的答案解析。大家可以在备考自己的SAT数学考试的时候，进行适当的参考和借鉴之用。