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Which example of data set can only be summarized by the mode?A) Harvest per farmB) Exam scoresC) Preferred climate

Question

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Solution

The data set that can only be summarized by the mode is "Preferred climate". This is because this data set is likely to be nominal or categorical, meaning it consists of named categories that cannot be quantitatively compared or ordered. In this case, the mode, which identifies the most frequently occurring category, is the only measure of central tendency that can be used.

Here's the step-by-step reasoning:

  1. "Harvest per farm" is likely to be ratio data, which can be summarized by the mean, median, and mode.
  2. "Exam scores" are likely to be interval or ratio data, which can also be summarized by the mean, median, and mode.
  3. "Preferred climate" is likely to be nominal data. Nominal data can only be summarized by the mode, as it represents categories that do not have a numerical or ordered relationship.

Therefore, the answer is "Preferred climate".

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