How do I figure out if something is skewed when given the mean median and mode.
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How do I figure out if something is skewed when given the mean median and mode.

[From: ] [author: ] [Date: 12-09-11] [Hit: ]
What can you determine about the distribution from this information?a.b.c.d. Unimodal and symmetrical The answer is B but I want to know how to get to that answer by having the values of mean,......
1. A sample of student scores in a study resulted in a mode of 84, a median of 79, and a mean of 75. What can you determine about the distribution from this information? The data was:
a. Bimodal and symmetrical
b. Negatively skewed
c. Positively skewed
d. Unimodal and symmetrical
The answer is B but I want to know how to get to that answer by having the values of mean, median, and mode.

In advance I appreciate your time and help!!
Thanks!! :)

-
Shana

If the median and mean are approximately equal, then it is symmetric

If mean < median it is left or negatively skewed [as in this problem]

If mean > median it is right or positively skewed

The mode doesn't really apply to symmetry ... any distribution can be modal, bi-modal or have multiple modes. See the following graph ...

http://stattrek.com/statistics/dictionar…

hope that helps
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