ACT Math · Statistics and data analysis
What is the median of the data set 4, 7, 7, 9, 12, 15, 7, 20?
What is the median of the data set 4, 7, 7, 9, 12, 15, 7, 20?
Answer and explanation
Answer: B: 8
First order the data: . There are values, so the median is the mean of the 4th and 5th values: , choice B. Choice A () is the mode, the most frequent value. Choice C () takes only the 5th value rather than averaging the two middle values. Choice D () is not the median; the mean of these values is . The median must be found after sorting; using the original order gives a different, wrong middle.
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