SOLUTION: A sample of data has a standard deviation of 79. If you were to multiply all of the scores in the data set by factor of 68, what would the new standard deviation be? How do I figu

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Question 859825: A sample of data has a standard deviation of 79. If you were to multiply all of the scores in the data set by factor of 68, what would the new standard deviation be?
How do I figure this problem? Do you multiply the standard deviation by the factor of 68?

Answer by Theo(13342)   (Show Source): You can put this solution on YOUR website!
i believe so.
check out the following:
data:			
N	A	B	B/A
1	5	25	5
2	10	50	5
3	15	75	5
4	20	100	5
5	25	125	5
6	30	150	5
7	35	175	5
statistics:
                        A                 B              C			
mean	                20	          100	         5
variance	        116.6666667	  2916.666667	 25
standard deviation	10.8012345	  54.00617249	 5

data in column A has been multiplied by 5 times in column B.
The mean of B is 5 times the mean of A.
The variance of B is 25 times the variance of A.
The standard deviation of B is 5 times the variance of A.

Easiest way to find out the relationships is to create a very simple data set and then apply the measure and see the impact on the statistics.

In the above, I created a simple data set and then multiplied that data set bgy 5 and then looked at the impact on the statistics.

There is some information somewhere about the impacts of doing different things with data sets but I was unable to find it.



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