Outliers affect more than the statistics that measure the center of a distribution. Outliers also affect statistics that measure the spread of the distribution. Use the sizes of the songs in Exercise 55 for this exercise.
(a) Find the standard deviation and interquartile range of the sizes of the songs (in megabytes).
(b) Which of these summary statistics is most affected by the presence of the outlier? How do you know?
(c) Exclude the most extreme outlier from the data and find the mean and SD without this song. Which summary changes more when the outlier is excluded: the mean or SD?