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Compare Quantity A and Quantity B, using additional information centered above t
Compare Quantity A and Quantity B, using additional information centered above t
游客
2025-02-24
32
管理
问题
Compare Quantity A and Quantity B, using additional information centered above the two quantities if such information is given, and select one of the following four answer choices:
(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. [br] The sum of the annual salaries of the 21 teachers at School X is $781,200. Twelve of the 21 teachers have an annual salary that is less than $37,000.
选项
答案
A
解析
The average of the annual salaries of the 21 teachers is
, or $37,200. By definition, the median of the 21 annual salaries is the 11th salary when the 21 salaries are listed in increasing order. Note that in the question you are given that 12 of the 21 salaries are less than $37,000. Thus, when the 21 salaries are listed in increasing order, the first 12 salaries in the list are less than $37,000. Thus the median of the salaries, which is the 11th salary in the list, is less than $37,000, which is less than the average salary of $37,200. The correct answer is Choice A.
This explanation uses the following strategy.
Strategy 8: Search for a Mathematical Relationship
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