I've been picking on people posting exam questions and thought I should post some of my own. Since I am NOT preparing people for the AP text, my questions are not multiple choice. On the other hand, they DO incorporate computer printouts which few of the posted questions have done. Also, this test covers transformations.
e. Suppose you did not like the look of the stem and leaf for the speed variable so you transformed it by taking square roots and made a stem and leaf display of the results. How would it compare to the original stem and leaf for this variable?
f. Based only on the information printed on this test (not on the additional Minitab handout), which variables do you think are good candidates for transformation? ___________ Explain why in each case.
You have some additional Minitab printout concerning some transformations of this data.
g. Which variable was transformed on your printout? _________
h. Find the following statistics for the original version of the data before it got transformed.
minimum _________ maximum _________
Q1 _________ range _________
median _________ IQR _________
Q3 _________ 75th percentile _________
All of these are statistics of one type, which are called _________ statistics.
i. What is the name of the first transformation that was tried? ____________ Be as complete and precise as possible.
j. What is the name of the second transformation that was tried? ____________ Be as complete and precise as possible.
k. There are a number of displays on your Minitab transformation printout. Next to each one, write a description of the distribution. You should include comparative information as to which looks the most normal, skewed, or whatever. BE SURE TO TURN IN THIS PRINTOUT WITH YOUR EXAM!
l. Which of the transformations do you think was most effective in making the data more normally distributed? ____________ Explain why you picked this transformation.
2. For the data below, find the mean, variance, and standard deviation. Fill in all the spaces in the table.