# Does all statistical data have a mean, median or mode?

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1) Does all statistical data have a mean, median or mode? Why? When is the mean the best measure of central tendency? When is the median the best measure of central tendency? Investigate a business data and then calculate mean, median and mode.

Please provide a response explaining thoroughly.

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In most cases, data have mean and median. There are rare theoretical cases where the mean and median do not exist (for example, the cauchy distribution does not have a mean, and an infinite set does not have a median, these are beyond the content of this question), but for most practical cases, they do exist. However, not all data have a mode. For example, the set 1,2,3,4,5,6,7,8,9,10 ...

#### Solution Summary

Does all statistical data have a mean, median or mode?

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