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  3. For each of Questions 1 to 9, compare Quantity A and Quantity B, using additional information centered above the two quantities

For each of Questions 1 to 9, compare Quantity A and Quantity B, using additional information centered above the two quantities

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问题 For each of Questions 1 to 9, compare Quantity A and Quantity B, using additional information centered above the two quantities if such information is given. Select one of the following four answer choices and fill in the corresponding oval to the right of the question.
(A)Quantity A is greater.
(B)Quantity B is greater.
(C)The two quantities are equal.
(D)The relationship cannot be determined from the information given.
A symbol that appears more than once in a question has the same meaning throughout the question.

选项
答案D
解析 In this question you are given that x with y.
    Two approaches that you could use to solve this problem are:
    1: Search for a mathematical relationship between the two quantities.
    2: Plug in numbers for the variables.
    Approach 1: Note thatis the average of the three numbers x, y, and and that y is the median. Is the average of 3 numbers always equal to the median? The average could equal the median, but in general they do not have to be equal. Therefore, the correct answer is Choice D.
    Approach 2: When you plug in numbers for the variables, it is a good idea to consider what kind of numbers are appropriate to plug in and to choose numbers that are easy to work with, if possible.
    Sinceis the average of the three numbers x, y, and z and you are omparing it to the median, you may want to try plugging in numbers that are evenly spaced and plugging in numbers that are not evenly spaced.
    You can plug in numbers that are both evenly spaced and easy to work with. For example, you can plug in x= 1, y = 2, and z = 3. In this case,
    You can also plug in numbers that not are not evenly spaced and are easy to work with. For example, you can plug in x = 3, y = 6, and z = 12. In this case, is equal to y and in the second case, it is greater than y, the relationship between the two quantitiesand y cannot be determined from the information given. The correct answer is Choice D.
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