Question

The list contains 42 Test 3 scores from a section of MA 110.

35, 43, 44, 44, 45, 46, 48, 50, 53, 54, 54, 55, 56, 57, 62, 64, 65, 66, 67, 69, 75, 76, 77, 78, 78, 81, 83, 84, 85, 86, 86, 89, 89, 92, 93, 94, 97, 98, 100, 100, 100, 100

1. How do I divide the scores into four equal parts, and draw three lines to show this ?

2. How do I calculate the values for each of the three lines?

3. If I scored an 85, what percent of the class did I do better than?

Answer #1

The list can be divided into the following

Since there are 42 data points and we need to divide into 4 equal parts

We follow the quartile sytem where the data is divided into

First quartile = 54.25

Second Quartile = 75.5

Third Quartile = 88.25

Question 1

We have marked the lines where the quartiles divide into 4 parts

Queston 2

The formula for calculating quartiles is

Q1 = 1/4 * (n+1) th data point = 1/4 *43 =10.75 th data point = 54.25

Q2 = 2/4 *(n +1) th data point = 1/2*43 = 21.5 th data point = 75.5

Q3 = 3/4*(n+1) th data point = 3/4*43 = 32.25 th data point = 88.25

Question 3

Score = 85

As the score of 85 is the 29 th data point we have

32.25 | 75% | |

29 |
0.674419 |

Hence a score of 85 means that you did better than 67.44% of the class

The test scores of 40 students are listed below.
30
35 43 44 47 48 54 55 56 57
59
62 63 65 66 68 69 69
71 72
72
73 74 76 77 77 78 79 80 81
81 82 83 85 89
92 93 94 97
98
a)
Find the lower and upper quartiles for the data.
b)
Find the interquartile range.
c)
Draw the box-and-whisker diagram for the data.

Below represent scores on an exam, each entry one score for one
student
40
99
59
98
63
63
64
65
67
35
67
67
68
70
71
71
71
46
72
72
60
73
74
74
74
75
97
75
62
76
76
76
76
76
77
57
77
98
77
63
78
78
78
79
79
80
80
80
80
80
81
81
92
81
93
82
82
83
83
83
83
83
83
83
84
84
84...

have a java application need to create an application which is
able to do some analysis on temperature data stored in a data file.
You will be given the “temperatures.dat” data file which contains
the data you must analyze. The analysis you’ll need to do is:
Total number of data points
Find coldest temperature
Find warmest temperature
Find average temperature
Find the frequency of each temperature
Find the most frequent temperature
Find the least frequent temperature
All classes must be...

Test score of 40 students are listed below. Find the percentile for
the test score of 66.
30 35 43 44 47 48 54 55 56 57
59 62 63 65 66 68 69 69 71 72
72 73 74 76 77 77 78 79 80 81
81 82 83 85 89 92 93 94 97 98

Student Grades
Student
Test
Grade
1
76
62
2
84
90
3
79
68
4
88
84
5
76
58
6
66
79
7
75
73
8
94
93
9
66
65
10
92
86
11
80
53
12
87
83
13
86
49
14
63
72
15
92
87
16
75
89
17
69
81
18
92
94
19
79
78
20
60
71
21
68
84
22
71
74
23
61
74
24
68
54
25
76
97...

The following scores on the midterm exam in a math
class were recorded. Find IQR. 93 81 59 69 82 73 61 77 95 84 88 71
85 97 63 72 89 80 60 98 91 62 78 83 76 81 94 66 83 96

Refer to the accompanying data set and construct a 95%
confidence interval estimate of the mean pulse rate of adult
females; then do the same for adult males. Compare the results.
Males Females
81
82
72
94
52
57
59
66
51
54
62
80
52
77
74
85
51
89
62
57
73
35
61
64
62
87
80
74
80
79
63
62
63
67
97
76
43
60
85
65
72
86
66
85
73
69
72 ...

Using the accompanying Student Grades data, construct a scatter
chart for midterm versus final exam grades and add a linear
trendline. What is the model? If a student scores 7878 on the
midterm, what would you predict her grade on the final exam to
be?
Student
Midterm
Final Exam
1
75
64
2
85
91
3
80
68
4
88
83
5
76
60
6
67
80
7
78
74
8
95
94
9
67
61
10
93
87
11...

Question 9-15 are based on the random
sample below which is obtained to test the following hypothesis
about the population mean. Test the hypothesis that the mean is
less than 80.
80
100
81
93
80
57
98
90
71
56
58
78
59
55
55
77
72
78
56
94
98
59
93
86
89
62
60
66
59
71
96
97
94
69
64
77
87
77
64
90
90
95
98
99
56
69
72
81
95...

Since we are attempting to examine the behavior of a class of
students, the behavior of an individual (as we calculated in
objective 1) is really of little concern to us. Assuming that there
are 30 students enrolled for a typical class, use the central limit
theorem to calculate the following:
• What would be the shape of the
distribution of the average class grade of these 30 students?
• What would be the average class
average of...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 17 minutes ago

asked 24 minutes ago

asked 28 minutes ago

asked 50 minutes ago

asked 50 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago