Which example of data set can only be summarized by the mode?A) Children per household in a countryB) Agreement with a statementC) Scale from 1 to 10
Question
Which example of data set can only be summarized by the mode?A) Children per household in a countryB) Agreement with a statementC) Scale from 1 to 10
Solution
The data set that can only be summarized by the mode is B) Agreement with a statement.
Here's why:
A) Children per household in a country - This data set can be summarized using the mean, median, or mode. For example, the mean would give the average number of children per household, the median would give the middle value when the data is arranged in ascending order, and the mode would give the most common number of children per household.
B) Agreement with a statement - This is typically a nominal data set where responses are categories such as "agree", "disagree", "neutral". In this case, the mode (the most common response) is the only measure of central tendency that can be used. The mean and median can't be computed because the data isn't numerical.
C) Scale from 1 to 10 - This data set can also be summarized using the mean, median, or mode. The mean would give the average rating, the median would give the middle rating when the data is arranged in ascending order, and the mode would give the most common rating.
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