Question

For the following distribution, indicate the class boundaries (compute to the first decimal) _____, frequency _____, and cumulative frequency ______ for the interval of 53-55 _____.

Scores: 56, 51, 47, 58, 55, 52, 53, 52, 49, 55, 54, 53, 47, 51, 57, 49, 50, 50, 48, 56, 58, 47, 57, 51, 54, 57, 49, 56

Answer #1

First we sort the data in ascending order:

Scores:47, 47, 47, 48, 49, 49, 49, 50, 50, 51, 51, 51, 52, 52,
53, 53, 54, 54, 55, 55, 56, 56, 56, 57, 57,57, 58, 58.

In the following classes two classes are separated by 1, therefore
we subtract 1/2=0.5 from lower limit and add 0.5 to upper
limit.

Score lower class boundary upper class boundary frequency cumulative frequency.

47-49 - 49+0.5=49.5 7 7

50-52 50-0.5=49.5 52+0.5=52.5 7 7+7=14

53-55 53-0.5=52.5 55+0.5=55.5 6 14+6=20

56-58 56-0.5=55.5 - 8 20+8=28

Therefore, the class boundaries 52.5,55.5, frequency=6 and cumulative frequency = 20, for the interval 53-55.

For the following distribution, indicate the class boundaries
(compute to the first decimal) _____, frequency _____, and
cumulative frequency _____ for the interval of 56-58 _____.
Scores: 56, 51, 47, 58, 55, 52, 53, 52, 49, 55, 54, 53, 47, 51,
57, 49, 50, 50, 48, 56, 58, 47, 57, 51, 54, 57, 49, 56

Age of CEO
57
49
57
63
58
56
67
62
61
61
53
58
52
58
56
66
56
59
52
63
52
59
57
64
53
54
65
46
58
58
57
50
62
57
58
52
48
59
54
62
66
46
52
63
57
52
61
50
55
55
64
48
56
58
55
60
51
62
62
50
45
50
52
55
58
57
52
53
61
55
63
54
52
59
50
56
57...

Create a frequency distribution using age and male-yes. It's
supposed to be a bar chart.
Age
55
50
42
47
58
67
64
64
62
43
51
58
42
51
66
69
57
48
51
50
43
46
49
48
55
51
50
41
47
55
54
52
64
68
51
40
53
67
65
47
48
56
64
45
57
50
52
60
66
70
63
63
63
32
70
66
50
67
63
59
63
34
70
50...

The following are heights of a rural middle school’s eighth
graders. The heights are rounded to the nearest inch. Use this
information for questions 6-10.
50
53
54
56
58
59
60
60
62
63
51
53
55
56
58
59
60
61
62
63
51
53
55
57
58
59
60
61
62
63
52
54
56
57
58
59
60
61
62
64
52
54
56
57
58
59
60
62
63
64
6.) Are the heights quantitative...

In Project 1 this Spring, you studied recording times in minutes
for a sample of Dr. Marion’s 33 recordings of Gustav Mahler’s 1st
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51 52 51 54 65 60 57 57 56 54 56 47 48 52
Using σ = 4, how large a sample would we need in order to
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The Whitcomb Company manufactures a metal ring for industrial
engines that usually weighs about 50 ounces. A random sample of 50
of these metal rings produced the following wights (in ounces).
51
53
56
50
44
47
53
53
42
57
46
55
41
44
52
56
50
57
44
46
41
52
69
53
57
51
54
63
42
47
47
52
53
46
36
58
51
38
49
50
62
39
44
55
43
52
43
42
57...

What percent of undergraduate enrollment in coed colleges and
universities in the United States is male? A random sample of 50
such institutions give the following data. Percent Males Enrolled
in Coed Universities and Colleges 44 41 41 41 38 50 48 31 52 28 50
42 71 37 43 38 53 51 52 50 47 46 49 50 39 38 58 64 40 54 32 46 48
34 54 48 40 46 42 41 46 42 41 46 54...

Suppose a professor gives an exam to a class of 40
students and the scores are as follows. (Type the
data set in StatCrunch.)
35
44
46
47
47
48
49
51
53
54
55
55
57
57
57
58
59
59
59
59
60
60
60
60
60
62
62
62
64
68
69
70
72
73
73
75
75
77
82
88
a. Find each of the
following:
Mean:
Median:
Standard deviation:
Z-score for a student who...

The alternating current (AC) breakdown voltage of an insulating
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62
51
54
57
42
54
56
61
59
64
50
54
64
62
50
68
54
55
57
50
55
51
56
55
46
56
53
55
52
48
47
55
58
48
63
58
58
55
53
59
54
52
51
56
60
51
56
58...

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sample 1- 50 54 59 59 65
sample 2- 48 49 49 52 56 57
sample 3- 39 41 44 47 51
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