Posted by Sally on Thursday, November 10, 2011 at 3:12pm.
In her art class, Ms. Walter has 12 students whose ages are listed below:
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?

math  Ms. Sue, Thursday, November 10, 2011 at 3:16pm
What mean and median did you find?

math  Sally, Thursday, November 10, 2011 at 3:20pm
The mean is 28 and the median is 23???

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

math  Sally, Thursday, November 10, 2011 at 3:33pm
336/12 = 28 right?

math  Ms. Sue, Thursday, November 10, 2011 at 3:36pm
Right.
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.

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

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

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