Which example of data set can only be summarized by the mode?
A) Harvest per farm
B) Exam scores
C) Preferred climate
C) Preferred climate.
The example of a data set that can only be summarized by the mode is C) Preferred climate.
The example of a data set that can only be summarized by the mode is Preferred climate.
To understand why the mode is the appropriate summary measure for this data set, let's first define what the mode is. The mode represents the value(s) that occur most frequently in a data set.
In the case of "Preferred climate," it refers to people's preferred climate conditions. Since climate preferences can vary from person to person, there is no numerical scale or specific order in which the data can be ranked. Therefore, we cannot calculate measures such as the mean (average) or median (middle value).
Instead, the mode would be the only appropriate summary measure for this data set. It would simply indicate the most commonly preferred climate among the respondents or participants.