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In this class you will need to decide if a data value is unusual (an outlier). You have a way of determining if a datum

In this class you will need to decide if a data value is unusual (an outlier). You have a way of determining if a datum is an outlier by constructing fences (lower fence = Q1-1.5*IQR, upper fence = Q3+1.5*IQR) and comparing the data value to the value of the fences. If the data value is "outside" one of the fences then it is considered an outlier. For the normal distribution, some would consider any data value that is more than two standard deviations away from the mean (z<-2, or z>2) to be an outlier and others would require a data value be more than three standard deviations away from the mean (z<-3, or z>3) to be an outlier. The "fences" for a standard normal distribution are z=- 2.698 for the lower fence and z=2.698 for the upper fence. How many standard deviations away from the mean do you think a data value needs to be in ordered to be considered an outlier (unusual) and discuss your reasoning for your choice

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