1. Warm-up Exercise
Volumes I, II, III, and IV of Shakespeare are in sequence next to one another in the library bookcase. Each volume has 2" of pages and the front and back covers of each of the volumes are each 1/4" thick.
If a bookworm starts at Page 1 of Volume I and eats its way through the volumes (following the shortest route) to the last page of volume IV, how many inches did the bookworm travel?
Answer the following three questions based on what you know about statistics now.
2. What is Statistics?
3. How is it abused?
4. How should it be used in decision-making?
5. Find the errors in the following matrix and correct them:
Mean Median Mode
a. 5, 3, 4, 1, 2? 3 3 3
b. 5, 5, 5, 5, 5? 5 5 5
c. 3, 3, 3, 1, 3, 5? 3 3 3
d. 8, 6, 4, 5, 8, 11? 7.5 8 8
e. 1, 1, 7, 1, 1? 2.2 1.5 1
6. Refer to the run chart on page 6 of the Course Material. Why is there no solid black vertical line at data point #4 = 8?
7. Calculate the variance and standard deviation of problems b-e below, using problem a as a guide:
a. 1, 2, 3, 4, 5
Step 1 Step 2 Step 3
1 -3 = -2 x -2 = 4
2 -3 = -1 x -1 = 1
3 -3 = 0 x 0 = 0
4 -3 = 1 x 1 = 1
5 -3 = 2 x 2 = 4
Sum 15 Sum 10 (Step 4) / (5-1) = 10/4 = 2.5 (Step 5) = V
Number 5
Average 3 Step 6 = the square root of V = 1.58 = SD
Step 1 Step 2 Step 3
1 -3 = -2 x -2 = 4
2 -3 = -1 x -1 = 1
3 -3 = 0 x 0 = 0
4 -3 = 1 x 1 = 1
5 -3 = 2 x 2 = 4
Sum 15 Sum 10 (Step 4) / (5-1) = 10/4 = 2.5 (Step 5) = V
Number 5
Average 3 Step 6 = the square root of V = 1.58 = SD
Now you do the following four:
b. 5, 5, 5, 5, 5
c. 1, 3, 3, 3, 3, 3, 5
d. 2, 5, 4, 5, 8, 6
e. 1, 1, 7, 1, 1
8. Using the x-axis given at the bottom of this page, construct the frequency histogram for the data set: 8, 10, 5, 11, 6, 6, 9, 12, 6, 8, 8, 20, 7, 8, 9, 7, 8, 7, 7, 13, 9, 8, 10, 8, 7, 8