Good Tests, Bad Tests: Can The Testing Fanatics Tell The Difference?
And do they really care? Consider the following problem: ===================================== 3, 4, 6, 7, 10, 12 The number n is to be added to the list above. If n is an integer, which of the following could be the median of the new list of seven numbers? I. 6 II. 6 1/2 III. 7 (A) I only (B) II only (C) III only (D) I and III only (E) I, II, and III ============================================== In considering your evaluation of the question, you may wish to know the following facts: this is the 13th of 16 questions for which the total time allotted is 20 minutes. The question appeared on the last of three mathematics sections and on the 8th of 10 sections overall in an exam that takes a total of 225 minutes. The test is one commonly used as part of college admissions in the United States. What factors enter into your determination of how good or bad a question this is? What assumptions are you making, if any, about what comprises a good mathematics assessment in general? Some inte...