Analyze and compare the data

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Mrs. Smith has taught three Algebra I classes this year. She just finished grading her final chapter test for the second semester. The raw data is below:

Class A	Class B	Class C
80	72	100
85	90	90
87	85	94
92	84	100
86	91	75
90	78	30
94	94	94
100	86	72
75	82	85
45	78	87
85	86	42
38	78	100
72	95	90
94	90	94
62	88	60

Question 1

Analyze the data for Class A and Class B.

Part 1: What are the means and standard deviations for Classes A and B?
Part 2: Make a box plot of the data for Classes A and B. Identify the median, first and third quartiles, and minimum and maximum data points.
Part 3: Explain how the values for Classes A and B vary about the mean and median. What information does this give Mrs. Smith?

Question 2

Analyze and compare the data for Class B and Class C.

Part 1: Make a dot plot for each of Classes B and C.
Part 2: What information is easily seen from the dot plots for Classes B and C?
Part 3: Look at the box plot and dot plot created for Class B. What are the strengths and weaknesses of each type of plot?
Part 4: Which of the two classes (B or C) performed better on the test? Justify your conclusion.

Question 3

Mrs. Smith gives three quizzes before each test. She allows each student to drop their lowest test grade during the grading period and replace it with the average of their quiz grades. The grades in red below were replaced with the average quiz grades.

Class A	Class B	Class C
80	90	100
85	90	90
87	85	94
92	84	100
86	91	75
90	78	84
94	94	94
100	86	72
75	82	85
70	78	87
85	86	72
38	78	100
72	95	90
94	90	94
82	88	60

Part 1: How does this change the data for Classes A and C?
Part 2: Based upon these changes, which of the three classes did the best on the exam? Justify your answer.

11 years ago
01.05.2015
20

Answer(1)

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other Questions(10)

Class A	Class B	Class C
80	72	100
85	90	90
87	85	94
92	84	100
86	91	75
90	78	30
94	94	94
100	86	72
75	82	85
45	78	87
85	86	42
38	78	100
72	95	90
94	90	94
62	88	60

Class A	Class B	Class C
80	90	100
85	90	90
87	85	94
92	84	100
86	91	75
90	78	84
94	94	94
100	86	72
75	82	85
70	78	87
85	86	72
38	78	100
72	95	90
94	90	94
82	88	60

Class A	Class B	Class C
80	72	100
85	90	90
87	85	94
92	84	100
86	91	75
90	78	30
94	94	94
100	86	72
75	82	85
45	78	87
85	86	42
38	78	100
72	95	90
94	90	94
62	88	60

Class A	Class B	Class C
80	90	100
85	90	90
87	85	94
92	84	100
86	91	75
90	78	84
94	94	94
100	86	72
75	82	85
70	78	87
85	86	72
38	78	100
72	95	90
94	90	94
82	88	60

Class A	Class B	Class C
80	72	100
85	90	90
87	85	94
92	84	100
86	91	75
90	78	30
94	94	94
100	86	72
75	82	85
45	78	87
85	86	42
38	78	100
72	95	90
94	90	94
62	88	60

Class A	Class B	Class C
80	90	100
85	90	90
87	85	94
92	84	100
86	91	75
90	78	84
94	94	94
100	86	72
75	82	85
70	78	87
85	86	72
38	78	100
72	95	90
94	90	94
82	88	60