下面為大家搜集了1道SAT數學難題,供大家在備考的時候進行適當的準備。解答SAT數學難題可以比常規的題目更加容易了解SAT數學考試的出題思路和方法。下面我們來看看詳細內容吧。
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 .
以上就是這道SAT數學難題的全部內容,后面附有詳細的答案解析。大家可以在備考自己的SAT數學考試的時候,進行適當的參考和借鑒之用。