Math

6. Which is the best measure of central tendency for the type of data below-the mean, the median, or the mode? Explain.

Hours of sleep each night

A. Median; there will be outliers
B. Range; there are no outliers
C. Mode; the data are non-numeric
D. Mean; the outliers are limited

Can you please help me figure this out? Thanks

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  1. I forgot to mention, I think that the answer is B.

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  2. First of all, range is not a measure of central tendency. Since hours are numerical, eliminate C. However, since the data is not given, we cannot know if there are a significant number of outliers on one side (skewed distribution) or not. If so, median. If not, mean.

    The mean acts as a fulcrum (balance point) for the distribution, so it is biased by outliers on one side.

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  3. Okay thank you. I usually good at this stuff, but this is the first time they gave me a question like this. Thanks again for the help.

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