Use the applet entitled Standard Deviation to find the standard deviation of each of the four data sets listed in Exercise 2.80. For each data set, set the lower limit to a number less than all of the data, set the upper limit to a number greater than all of the data, and then click on Update. Click on the approximate location of each data item on the number line. You can get rid of a point by dragging it to the trash can. To clear the graph between data sets, simply click on the trash can.
a. Compare the standard deviations generated by the applet with those you calculated by hand in Exercise 2.80. If there are differences, explain why the applet might give values slightly different from the hand-calculated values.
b. Despite the fact that it provides a slightly different value of the standard deviation of a data set, describe some advantages of using the applet.