Question

In general, if the sample size is large, adding an extremely large outlier to a data set will not substantially affect _____ .

Answer 1

In general, if the sample size is large, adding an extremely large outlier to a data set will not substantially affect _________

a. the sample standard deviation

b. the sample mean

c. the sample median

d. none of the above.

Answer: We know that the median is least affected by outliers, because adding an outlier will only affect the tails not the center of the data distribution. Therefore, adding an extremely large outlier to a data set will not substantially affect the sample median. Hence the option C. the sample median is correct