Rose Macomber
Mrs. Swanson
AP Statistics
9/27/11
Minitab Lab 2
1.
a)
Final Grades for 2 Statistics Classes
10
5
0
20
15
35
30
25
40
Rose Macomber per. G
50 60 70
Class 1
80 90
Final Grades for 2 Statistics Classes
35
30
25
20
15
10
5
0
40
Rose Macomber per. G
50 60 70
Class 2
80 90
100
100

The distribution for class one is unimodal and mostly bell shaped. It has a large spread with a range of 60 points: the maximum point is 100 and the minimum point is 40. Most of the data is between 60 and 80 points. There are no outliers but the points become less frequent as they get further away from center (approximately 65-70). Class 2 is also unimodal but it seems to be skewed left due to a shift in center. It has a somewhat large spread with a range of 55: maximum point is 100 and minimum point is 45, which is very close to the same as class 1. However, they do not have the same center. Most of class 2’s data is around 70-90, so class 2 overall did better than class 1.
2.
a)
Number of Rebounds per Game for 5 Starting Players
CENTER1
FORWARD1
FORWARD2
GUARD1
GUARD2
2 4 6 8 10 12
Number of Rebounds
14 16 18 20
Rose Macomber per. G
3.
a) In this data, you can see that the majority of the data (the center) is grouped around 3-8 rebounds for each player. For the forward 1 and center1 however, the data is spread out closer to 10-16 rebounds. There is a large spread in the data, with a range of 1-19 but if you look closer, you can see that the largest range for one individual player is 11 which is the center 1. It makes sense that the center 1 would have more rebounds than the guards, for instance because it is their job to have the ball whereas it is a guards job to keep the other team from getting the ball.
Stem-and-leaf of SPREAD N = 35
Leaf Unit = 1.0
4 0 1156
7 1 778
(15) 2 000223456678889
13 3 123469

7 4 12279
2 5 4
1 6
1 7 5

The stem ranges from 0 to 7.

17, 17, and 18 are represented by the second row of the stemplot.

By looking at the graph, I would conclude that most of the games point spread was between 20 and 29.

There were 22 games in which the point spread was less than 30.

75 looks like it could be a possible outlier.
Point Spread
80
70
40
30
20
60
50
10
0
Rose Macomber per. G
The “possible outlier” (75) is actually an outlier because it is represented with a star outside of the whiskers in the modified box plot. Also, it is over 1.5 of the IQR, which would be Q3-Q1.
From looking at this box plot, you can also see that without the outlier, the data is actually very close to being symmetric. P50 is almost in the middle of Q1 and Q3, and the whiskers are about the same length. However, the outlier skews the data to seem as though it is not symmetric.

Points Scored by Winners and Losers
WINNER LOSER
110
100
90
80
70
60
50
40
30
Rose Macomber per. G
IQR: 17
Approximate Data Values for Spread Box Plot:
Median: 26
First Quartile: 19
Third Quartile: 36
IQR: 17
Max. Data Value: 75 (outlier) or 55
Min. Data Value: 2 e) Data Values for Winners and Losers Box Plots:
Winners:
Highest Score: 108
First Quartile: 80
Lowest Score: 70
Third Quartile: 97
25% of the time, the winners scored more than 97 points.
25% of the time, the winners scored less than 80 points.
50% of the time, the winners scored between 80 and 97 points. f) Losers data:
75% of the time, the Losers scored fewer than 70 points.
The losing team that did very well against the winners (the outlier) managed to score roughly 90 points.