Only the means are different.
Only the medians are different.
Both the means and the medians are different.
Neither the means nor the medians are different.
Explanation
Correct answer: A.
Choice A is correct. The mean of a data set is the sum of the values divided by the number of values. The mean of data set A is , or . The mean of data set B is , or . Thus, the means are different. The median of a data set is the middle value when the values are ordered from least to greatest. The medians of data sets A and B are both . Therefore, the medians are the same, so only the means are different.
Desmos solution:
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Reviewed and rewritten by CookSAT
Why the other choices are wrong
Choice B
Choice B is incorrect and may result from conceptual or calculation errors.
Choice C
Choice C is incorrect and may result from conceptual or calculation errors.
Choice D
Choice D is incorrect and may result from conceptual or calculation errors.