Refer to Data Set #2 in the How Extreme Values Affect the Mean and Median applet. This applet loads with a dotplot for the following n = 5 observations: 2, 5, 10, 11, 12.

a. Use your mouse to move the value x = 12 to the left until it is smaller than the value x = 11.

b. As the value of x gets smaller, what happens to the sample mean?

c. As the value of x gets smaller, at what point does the value of the median finally change?

d. As you move the green dot, what are the largest and smallest possible values for the median?