Breakdown: Consider the contrived data set Y1 %0:068 Y2 %1:282 Y3 0:013 Y4

Breakdown: Consider the contrived data set Y1 ¼ %0:068 Y2 ¼ %1:282 Y3 ¼ 0:013 Y4 ¼ 0:141 Y5 ¼ %0:980

(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.)