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Is it possible for a quantitative data set to have no mean no median, or no...

Is it possible for a quantitative data set to have no mean no median, or no mode?Give an example of a data set for which this summary measure does not exist.

chapter 3 of the book Introductory statistics

my first time taking statistic need help

Math   Statistics-And-Probability   
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Answer #1

Yes, it is possible for a quantitative data set to have no mode, but there will always be mean and median for the quantitative data set.

we always have the mean and median for the quantitative data set because the mean and median are not dependent on the frequency of any data observation, but the median and mean are dependent on the entire data set. Mode is dependent on the frequency of the data observation, so when all the data observation has same frequency in the data set, then there is no mode.

For example, there is no mode for the given data set

1,2,3,4,5,6,7,8,9,10

There is no mode because all values appeared only once.

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