Breakdown: Consider the contrived data set (an adaptation of the data used to construct Figure 19.1). Show that more than two values must be changed to influence the median of the five values to an...

Breakdown: Consider the contrived data set

(an adaptation of the data used to construct Figure 19.1). Show that more than two values must be changed to influence the median of the five values to an arbitrary degree. (Try, e.g., to make the first two values progressively and simultaneously larger, graphing the median of the altered data set against the common value of Y₁
and Y₂; then, do the same for the first three observations.)