4, 10, 18, 4, 4, 5, 6, 5 What is the median of the data set shown?
Correct answer: B (parsed from the explanation — this source omits an answer key for this item)
Explanation
Choice B is correct. If a data set contains an even number of data values, when the data values are listed in ascending or descending order, the median is between the two middle values. The given data set contains 8 values. When listed 10 18 in ascending order, the data set is 4, 4, 4, 5, 5, 6, , and the two middle values are 5 and 5. Since the two middle values are the same, the median must be 5. Choice A is incorrect. This value is between the two middle values in the list shown, not the two middle values when the data values are listed in ascending or descending order. Choice C is incorrect. This is the mean, not the median, of the data set. Choice D is incorrect. This is the range, not the median, of the data set. 47 SAT PRACTICE TEST #6 ANSWER EXPLANATIONS SAT ANSWER EXPLANATIONS n MATH: MODULE 2
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