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September 2, 2014

Posted by **Sally** on Thursday, November 10, 2011 at 3:12pm.

19, 20, 20, 20, 21, 22, 24, 24, 25, 25, 56, 60

She calculated the mean and the median of their ages. What is the relationship between these two values?

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**Ms. Sue**, Thursday, November 10, 2011 at 3:16pmWhat mean and median did you find?

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**Sally**, Thursday, November 10, 2011 at 3:20pmThe mean is 28 and the median is 23???

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**Ms. Sue**, Thursday, November 10, 2011 at 3:30pmWhy do you think the mean is higher than the median?

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**Sally**, Thursday, November 10, 2011 at 3:33pm336/12 = 28 right?

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**Ms. Sue**, Thursday, November 10, 2011 at 3:36pmRight.

Note that all but two students are between 19 and 25. The other students are much older. That skews the mean, but doesn't affect the median.

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**Sally**, Thursday, November 10, 2011 at 3:42pmThe answer in the book says the mean is 8 years less than the median. Please explain.

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**Ms. Sue**, Thursday, November 10, 2011 at 3:44pmBy your and my calculations, there is 5 years between the median and the mean.

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**Sally**, Thursday, November 10, 2011 at 3:47pmThank you! I said the mean is 5 years more than the median.

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