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?
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-> 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?
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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):
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.
