Histograms and Standard Deviation

asissa

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Sep 6, 2009
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I am studying for an End of Course Test, and I am having trouble with this type of word problem with histograms and standard deviation. Unfortunately this was not covered in the textbook, and I can't find an example. The answer given for this question is B. Can someone please walk me through this? Thank you.
 
You have basic, fundamental formulations for calculating Mean and Standard Deviation. I do not believe these are not covered in your text.

There is only the problem of what values to use. In the [0,4] group, use 2.

Let's see what you get.
 
I understand standard deviation, and I know that histograms show the frequency - I could not seem to find an example of how to marry the two together! I saw your hint (Thank you!), which I assume is the difference between the mean of the data and the data, and went on as follows:

The mean of both teams is 2 (team 1: 4+1+0+3+2=10/5=2 and team 2:1+2+4+2+1=10/5=2).
The difference between the mean and the data for team 1 would be (4-2=2, 1-2=1, 0-2=2, 1-2=1, 4-2=2 in absolute terms). Giving me a total of 8.
The difference between the mean and the data form team 2 would be (1-2=1, 2-2=0, 4-2=2, 2-2=0, 1-2=1 in absolute terms). Giving me a total of 4.

8 and 4 are the closest to answer B (team 1: 7.4 points, Team 2:4.4 points). Thank you - I was going nuts with this one. There were several more questions on histograms and using this process I am getting the right answers. I can't believe that was all there was to it!
 
The means are not 2.

First Team (2+2+2+2+6+14+18+18+18+18)/10 = ??
 
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