Question

roger claims that the two statistics most likely to change greatly when an outlier is added to a small data set are the mean and the median. is rogers claim correct? a yes, both the mean and median are likely to change greatly. b no, only the mean is likely to change greatly. c no, only the median is likely to change greatly. d no, neither the mean nor the median are likely to change greatly. e there is not enough information to determine if the mean or the median is likely to change greatly.

Explanation:

Step1: Recall mean and median properties

Mean is sum - divided by count, affected by outliers. Median is middle - value. In small data sets, mean can change greatly with an outlier. Median may not change or change slightly as it depends on order, not value magnitude.

Answer:

B. No, only the mean is likely to change greatly.