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In general when you take a sample of values of a random variable you will find that those values lie around some central value that is characteristic of the total population for the random variable. A measure of central tendancy (such as a sample mean, sample mode or sample median) is a statistic which is intended to estimate the central value of the population using the values in the sample in some way.

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Q: What does the measure of central trendency tell us about the data?
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