The following data sufficiency problems consist of a question and two statements

游客2024-01-14  27

问题 The following data sufficiency problems consist of a question and two statements, labeled (1) and (2), in which certain data are given.You have to decide whether the data given in the statements are sufficient for answering the question. Using the data given in the statements plus your knowledge of mathematics and everyday facts (such as the number of days in July or the meaning of counterclockwise), you must indicate whether
   A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
   B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
   C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
   D. EACH statement ALONE is sufficient.
   E. Statements (1) and (2) TOGETHER are NOT sufficient. [br] Kara attends a university where students study for an average (arithmetic mean) of 13.4 hours per week. How many hours per week does Kara study?
   (1) The standard deviation of study time at Kara’s school is 2.8.
   (2) Kara’s study time is one standard deviation away from the mean.

选项

答案 E

解析 Statement (1) alone tells us more about the student population, but nothing in particular about Kara, so it is not sufficient and we can cross off A and D.
   Statement (2) alone tells us nothing because we don’t know what the standard deviation is, so we can eliminate B. Together, the statements tell us that Kara studies for either 16.2 hours or 10.6 hours, but because we don’t know whether she studies more or less than the mean, the statements are not sufficient together and our answer is E.
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