1.85 Mean and median for seven observations. Place seven observations on the line in the Mean and Median applet by clicking below it.

1. (a) Add one additional observation without changing the median. Where is your new point?

2. (b) Use the applet to convince yourself that when you add yet another observation (there are now nine in all), the median does not change no matter where you put the seventh point. Explain why this must be true.