# 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

Median; there will be outliers
Range; there are no outliers
Mode; the data are non-numeric
Mean; the outliers are limited

BUT I NEED PROOF/BACKUP SO THAT MY PARENTS DON'T SAY ITS A

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1. First of all, the range is not a measure of central tendency.

The mean acts as a fulcrum (balance point) for the distribution, therefore outliers on one side will draw the mean out to that side. In other words, the distribution is significantly skewed.

In a skewed distribution, the mean is biased toward the outliers, while the mode is biased in the opposite direction. Under these conditions, the median is the most central of the measures of central tendency, and I would say A.

If the outliers are equal on both sides, the mean will not be effected.

For non-numeric data, the mode is the only measure of central tendency that can be used. However, hours of sleep are numerical.

I don't know if the following will help.

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2. big brain time

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