Consider the following data set:

a. Show that the mean and median are both equal to 5.

b. Suppose that a value of 26 is added to this data set. Which is affected more, the mean or the median?

c. Suppose that a value of 100 is added to this data set. Which is affected more, the mean or the median?

d. It is possible for an extreme value to affect the median more than the mean, but if the value is extreme enough, the mean will be affected more than the median. Explain.

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