Mean and median for three observations. In the Mean and Median applet, place three observations on the line by clicking below it, two close together near the center of the line and one somewhat to the right of these two.
(a) Pull the single rightmost observation out to the right. (Place the cursor on the point, hold down a mouse button, and drag the point.) How does the mean behave? How does the median behave? Explain briefly why each measure acts as it does.
(b) Now drag the rightmost point to the left as far as you can. What happens to the mean? What happens to the median as you drag this point past the other two (watch carefully)?