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For the following data, which measure of central tendency would be the LEAST useful? Data: 4...

For the following data, which measure of central tendency would be the LEAST useful?

Data: 4 8 11 11 11 27 27 27 27 27 400

Please explain your answer.

Math   Statistics-And-Probability   
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Answer #1

For this data, the mean or arithmetic mean as a measure of central tendency would be least useful because it depends on all of the observations and the given data includes one significant oilier at the end of the data. Also, data consistency is low. If we use mean for this types of data sets, then we would not get proper representation of the population. In such cases, we can use median or mode as the measures of central tendency because these are not depends on extreme observations.

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