Question
Find the range, mean, variance, and standard deviation of the population data set. 68 76 96...
Find the range, mean, variance, and standard deviation of the population data set.
68 76 96 77 85 80 87 99 80 112 100 89 101 81 98 82 91 111 97 89 84 92 114 103 92
Homework Answers
Answer #1
Solution
Given that
The range = Maximum value - Minimum value
= 114 - 68
= 46
The range = 46
Solution:
| x | x2 |
| 68 | 4624 |
| 76 | 5776 |
| 96 | 9216 |
| 77 | 5929 |
| 85 | 7225 |
| 80 | 6400 |
| 87 | 7569 |
| 99 | 9801 |
| 80 | 6400 |
| 112 | 12544 |
| 100 | 10000 |
| 89 | 7921 |
| 101 | 10201 |
| 81 | 6561 |
| 98 | 9604 |
| 82 | 6724 |
| 91 | 8281 |
| 111 | 12321 |
| 97 | 9409 |
| 89 | 7921 |
| 84 | 7056 |
| 92 | 8464 |
| 114 | 12996 |
| 103 | 10609 |
| 92 | 8464 |
| ∑x=2284 | ∑x2=212016 |
Mean 
=∑xn
= (
68+76+96+77+85+80+87+99+80+112+100+89+101+81+98+82+91+111+97+89+84+92+114+103+92/25
)
= ( 2284/25 )
=91.36
Population Variance σ2=∑x2-(∑x)2nn
=212016-(2284)22525
=212016-208666.2425
=3349.7625
=133.9904
Population Standard deviation σ=√∑x2-(∑x)2nn
=√212016-(2284)22525
=√212016-208666.24/25
=√3349.76/25
=√133.9904
=11.5754
Not the answer you're looking for?
Similar Questions
Student Grades Student Test Grade 1 76 62 2 84 90 3 79 68 4 88...
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...
Below represent scores on an exam, each entry one score for one student 40 99 59...
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...
Since we are attempting to examine the behavior of a class of students, the behavior of...
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...
Refer to the accompanying data set and construct a 95% confidence interval estimate of the mean...
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 ...
Test# 1 2 3 4 5 6 Mean Range Monday 96 74 92 84 65 77...
Test#
1
2
3
4
5
6
Mean
Range
Monday
96
74
92
84
65
77
81.33
31
Tuesday
93
99
73
63
98
76
83.67
36
Wednesday
64
92
101
91
73
90
85.17
37
Thursday
100
67
86
76
99
91
86.50
33
Friday
84
97
76
92
82
99
88.33
23
2) If the engines with NOx emission above 80mg/km are "in
violation" of EPA regulations prepare a control chart for
monitoring the proportion of engines in...
please answer ALL the question 1--The diastolic blood pressure (in mm Hg) of 84 patients with...
please answer ALL the question
1--The diastolic blood pressure (in mm Hg) of 84 patients with
hypertension was:
88 98 78 84 77 81 90 82 75 72 92 85 92 77 84 77 82 100
92 88 74 80 95 90 87 80 83 77 86 80 88 90 79 82 93 100
80 85 96 85 90 84 82 95 88 97 80 88 94 92 88 96 90 103
88 86 84 90 98 88 86 95...
The following scores on the midterm exam in a math class were recorded. Find IQR. 93...
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
Sample scores from four different statistics class sections are shown below. Run an ANOVA test on...
Sample scores from four different statistics class sections are
shown below. Run an ANOVA test on them and answer the following
questions:
Class 1
Class 2
Class 3
Class 4
95
79
77
81
99
68
91
96
75
84
84
68
76
78
84
89
82
74
75
78
97
93
82
75
93
95
82
88
83
88
85
98
86
95
96
59
What conclusion can we make about the hypothesis test?
TestScore 53 53 56 56 56 58 58 58 59 59 59 60 60 62 63...
TestScore
53
53
56
56
56
58
58
58
59
59
59
60
60
62
63
63
63
64
65
65
66
67
67
67
67
68
69
69
69
69
71
71
72
72
72
72
73
73
73
73
73
74
75
75
75
76
76
76
76
77
77
77
77
77
78
78
78
79
79
79
79
80
80
80
80
80
80
81
81
81
82
82
83
83
83
83
84
84
84...
The Data A central tenet to being a good instructor, I believe, is to be a...
The Data
A central tenet to being a good instructor, I believe, is to be a
reflective practitioner of your craft. From time to time I find it
to be necessary to review and reflect on my work as an instructor
from a grade perspective. On our moodle page you will find a link
to a second word document titled “300 Grades”. This data sheet
contains both the alphanumeric grade (page 1) and the numerical
equivalent (page 2) for every...
ADVERTISEMENT
Need Online Homework Help?
Get Answers For Free
Most questions answered within 1 hours.
ADVERTISEMENT
Active Questions
asked 12 minutes ago
asked 12 minutes ago
asked 21 minutes ago
asked 29 minutes ago
asked 52 minutes ago
asked 1 hour ago
asked 1 hour ago
asked 1 hour ago
asked 1 hour ago
asked 1 hour ago
asked 1 hour ago
asked 1 hour ago