Chapter 1.2, Problem 50E

(a)

To determine

To construct:back-to-back stemplot to compare the points scored by the 32 teams.

Answer to Problem 50E

I-AAA	Stem	V-AA
										8	3	6	7	7
							7	7	6	1	4	4	4	5	6
				8	6	5	4	3	2	1	5	4	8
8	7	5	5	4	4	4	3	3	2	2	6	0	2	6	6	7	7	9
					8	7	6	4	1	1	7	2	4
										7	8	6
										1	9	2	3	6	8	8
										6	10

Explanation of Solution

Given:

  

  

Calculation:

A stem-plot for I-AAA high school payoffs is below:

Team 1	Stem	Team 2
						3	8
						4	1	6	7	7
			8	5	2	5	1	3	4	6
	8	7	5	4	4	6	2	2	3	3	4	5
	8	7	6	1	1	7	1
					7	8
					1	9
					6	10

A stem-plot for V-AA playoffs is below:

Team 1	Stem	Team 2
				7	3	6	7
					4	4	4	5	6
					5	4	8
	9	7	6	2	6	0	6	7
				4	7	2
				6	8
8	8	6	3	2	9

The stem plot to compare the points scored by 32 teams in the Division I-AAA and 24 teams in the Division V-AA playoffs.

I-AAA	Stem	V-AA
										8	3	6	7	7
							7	7	6	1	4	4	4	5	6
				8	6	5	4	3	2	1	5	4	8
8	7	5	5	4	4	4	3	3	2	2	6	0	2	6	6	7	7	9
					8	7	6	4	1	1	7	2	4
										7	8	6
										1	9	2	3	6	8	8
										6	10

Conclusion:

“Thus, a stemplot is made to compare the points.”

(b)

To determine

To write:few sentence comparing the two distributions.

Answer to Problem 50E

The distribution of I-AAA is more symmetric as compare to V-AA.

Explanation of Solution

The comparative stem-plot shows that the distribution of I-AAA is more symmetric as compare to V-AA. There is only one peak in 1-AAA distribution. It has single peak and is called unimodal. Distribution V-AA has asymmetric distribution. It has two peaks and is a bimodal.