2.61 Create data with a given standard deviation Use the Mean versus Median web app on the book’s website to investigate how the standard deviation changes as the data change. When you start the app, you have a blank graph.

Under “Options”, you can request to show the standard deviation of the points you create by clicking in the graph.

a. Create 3 observations (by clicking in the graph) that have a mean of about 50 and a standard deviation of about 20. (Clicking on an existing point deletes it.)

b. Create 3 observations (click Refresh to clear the previous points) that have a mean of about 50 and a standard deviation of about 40.

c. Placing 4 values between 0 and 100, what is the largest standard deviation you can get? What are the values that have that standard deviation?