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Randy polled his teammates to determine how many hours they practice per week.

Hours of Practice Per week No. of Students
1 2
2 5
3 8
4 28
5 9
6 3
7 1
Which measure of center should be used to find the average response to Randy's survey?

 


Mean
Median
Mode
Range
 
 Dec 19, 2014

Best Answer 

 #1
avatar+23246 
+5

Range is not a measure of center, so this choice is eliminated.

Of the three measures of central tendency, choose the mean, unless you have a good reason not to.

For instance, if there is an outlier, a number so large or so small that it distorts the mean, the median might be a better choice. In this case, there is no such outlier. I have no reason to ever choose the mode, except that it is the easiest to find (there could be a bimodal set of data, but that's a different, more involved, story). 

In this case, the median is 4, the mode is 4, and the mean is 3.89. The mean shows that the "average" is slightly less than 4, a good description.

 Dec 19, 2014
 #1
avatar+23246 
+5
Best Answer

Range is not a measure of center, so this choice is eliminated.

Of the three measures of central tendency, choose the mean, unless you have a good reason not to.

For instance, if there is an outlier, a number so large or so small that it distorts the mean, the median might be a better choice. In this case, there is no such outlier. I have no reason to ever choose the mode, except that it is the easiest to find (there could be a bimodal set of data, but that's a different, more involved, story). 

In this case, the median is 4, the mode is 4, and the mean is 3.89. The mean shows that the "average" is slightly less than 4, a good description.

geno3141 Dec 19, 2014

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