Decide whether the following statement makes sense (or is clearly true) or does not make sense (or is clearly false). Explain your reasoning. Both exams had the same range, so they must have had the same median. Choose the correct answer below. A. This does not make sense because the range is the most common value or group of values in a distribution. It has nothing to do with the median. B. This makes sense because the median is equal to the range. C. This makes sense because the median is equal to half of the range. D. This does not make sense because the range is the difference between the highest and lowest data values. It has nothing to do with the median.
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D. This does not make sense because the range is the difference between the highest and lowest data values. It has nothing to do with the median. The range simply gives a sense of the spread of the data, while the median represents the middle value of a sorted dataset. Two datasets can have the same range but very different distributions, leading to different medians. Moreover, let's think about it this way: you could have one dataset with values clustered closely together and another spread widely; they could share a range but have completely different middle values. So, it's the distribution that counts!
