There are no numbers shown, but you can assume we are on the usual axis: each grid square is 1x1 and values increase to the right.

1. Think about which set of dots (orange or purple) have an average that is larger?
2. Check your answer with the "Show Averages" checkbox
3. Drag the points around to observe how the averages change.
4. Try to make the data sets have the same average, but look very different. How many interesting ways can you find to do this?
5. If all points move 1 unit closer to the average, does the average increase or decrease, or does it depend?