Table 3.1 Final examination grades on Basic Statistics course 23 60 79 57 32 82 52 70 36 74 80 77 81 41 65 85 92 95 55 76 52 10 64 75 78 25 80 98 81 67 41 71 83 64 54 74 88 43 62 72 60 78 89 76 84 48 84 90 15 79 34 67 17 82 69 74 63 80 85 61 In this case, we need a step by step procedure in constructing a frequency distribution for table 3.1. The steps in grouping a large set of data into frequency distribution may be summarized as follows: 1. Decide on the number of class intervals required. (5-20) 2. Determine the range. 3. Divide the range by the number of classes to estimate the approximate width of the interval. 4. List the lower class limit of the bottom interval and then the lower class boundary to obtain the upper class boundary. Write down the upper class limit. 5. List all the limits and class boundaries by adding the class width to the limits and Foundaries on the previous interval. 6. Determine the class marks of each interval by averaging the class limits. 7. Tally the frequencies of each class. 8. Sum the frequency column and check against the total number of observations.
Table 3.1 Final examination grades on Basic Statistics course 23 60 79 57 32 82 52 70 36 74 80 77 81 41 65 85 92 95 55 76 52 10 64 75 78 25 80 98 81 67 41 71 83 64 54 74 88 43 62 72 60 78 89 76 84 48 84 90 15 79 34 67 17 82 69 74 63 80 85 61 In this case, we need a step by step procedure in constructing a frequency distribution for table 3.1. The steps in grouping a large set of data into frequency distribution may be summarized as follows: 1. Decide on the number of class intervals required. (5-20) 2. Determine the range. 3. Divide the range by the number of classes to estimate the approximate width of the interval. 4. List the lower class limit of the bottom interval and then the lower class boundary to obtain the upper class boundary. Write down the upper class limit. 5. List all the limits and class boundaries by adding the class width to the limits and Foundaries on the previous interval. 6. Determine the class marks of each interval by averaging the class limits. 7. Tally the frequencies of each class. 8. Sum the frequency column and check against the total number of observations.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 37PPS
Related questions
Question
![PhD (2013)
Basic Statistics for Health Science Courses by RALO Mendor, PhD (2013)
In table 3, the class site or class width used is 15. 80, 95, 110, 125 and 140 are
called the lower class limits while 94, 109, 124, 139 and 154 are called the upper
class limits. In the class boundary 79.5-94.5, 79.5 is the lower class boundary
94.5 is the upper class boundary. The class mark is obtained by getting the average
of the lower and the upper class boundary which is (79.5+ 94.5)/2-87 for the score
80-94. An accurate class width or class interval can then be obtained by getting the
difference between the upper and the lower boundary which is 94.5-79.5 15 for the
The range (R) for a grouped data is computed by getting the
difference of the highest value of the upper boundary and the lowest value of the lower
boundary. For the data given above, the range (R) 154.5-79.5-75. Table 3 is a
type of frequency distribution that is useful in calculating other descriptive properties of
score 80.94 and so on.
the data.
There are times that we need to make a frequency distribution. Table 3.1
represents the final examination grade for an elementary statistics course:
Table 3.1
Final examination grades on Basic Statistics course
82
36
23
60
79
52 70
32 57
74
80
77
81
76
65
41
95
92
55
85
52
10
81
64
78
67
75
80
98
25
41
71
83
43
64
54
88
72
74
62
60
78
89
79
84
76
84
48
15
90
34
17
67
85
74
82
61
63
69
80
In this case, we need a step by step procedure in constructing a frequency
distribution for table 3.1. The steps in grouping a large set of data into frequency
distribution may be summarized as follows:
1. Decide on the number of class intervals required. (5-20)
2. Determine the range.
3. Divide the range by the number of classes to estimate the approximate width of the
interval.
4. List the lower class limit of the bottom interval and then the lower class boundary
to obtain the upper class boundary. Write down the upper class limit.
5. List all the limits and class boundaries by adding the class width to the limits and
boundaries on the previous interval.
6. Determine the class marks of each interval by averaging the class limits.
7. Tally the frequencies of each class.
8. Sum the frequency column and check against the total number of observations.
The Left inclusion criteria
It refers to considering the left endpoint of the tally instead of its right. In this
Upon construction of the
technique, examine the lewest value in the data set.
frequency distribution tables, include the number to the left of the lower limit of the
first interval.
In the given data for Example 6 below, the lowest value in the data set is 10.
The number to the left of 10 is 9. Then the first interval in the table will start from 9,
instead of 10.
[16]
or class
fined as
sented in
wer and
nit and
= limits.
ted by
size or
andary
ll the
ution
class
by
the
er of](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F08a77ab9-5247-4a56-945a-ade4020c3f39%2Febe74b83-73ac-4152-8045-82a2a262a0b5%2Fht5icjd_processed.jpeg&w=3840&q=75)
Transcribed Image Text:PhD (2013)
Basic Statistics for Health Science Courses by RALO Mendor, PhD (2013)
In table 3, the class site or class width used is 15. 80, 95, 110, 125 and 140 are
called the lower class limits while 94, 109, 124, 139 and 154 are called the upper
class limits. In the class boundary 79.5-94.5, 79.5 is the lower class boundary
94.5 is the upper class boundary. The class mark is obtained by getting the average
of the lower and the upper class boundary which is (79.5+ 94.5)/2-87 for the score
80-94. An accurate class width or class interval can then be obtained by getting the
difference between the upper and the lower boundary which is 94.5-79.5 15 for the
The range (R) for a grouped data is computed by getting the
difference of the highest value of the upper boundary and the lowest value of the lower
boundary. For the data given above, the range (R) 154.5-79.5-75. Table 3 is a
type of frequency distribution that is useful in calculating other descriptive properties of
score 80.94 and so on.
the data.
There are times that we need to make a frequency distribution. Table 3.1
represents the final examination grade for an elementary statistics course:
Table 3.1
Final examination grades on Basic Statistics course
82
36
23
60
79
52 70
32 57
74
80
77
81
76
65
41
95
92
55
85
52
10
81
64
78
67
75
80
98
25
41
71
83
43
64
54
88
72
74
62
60
78
89
79
84
76
84
48
15
90
34
17
67
85
74
82
61
63
69
80
In this case, we need a step by step procedure in constructing a frequency
distribution for table 3.1. The steps in grouping a large set of data into frequency
distribution may be summarized as follows:
1. Decide on the number of class intervals required. (5-20)
2. Determine the range.
3. Divide the range by the number of classes to estimate the approximate width of the
interval.
4. List the lower class limit of the bottom interval and then the lower class boundary
to obtain the upper class boundary. Write down the upper class limit.
5. List all the limits and class boundaries by adding the class width to the limits and
boundaries on the previous interval.
6. Determine the class marks of each interval by averaging the class limits.
7. Tally the frequencies of each class.
8. Sum the frequency column and check against the total number of observations.
The Left inclusion criteria
It refers to considering the left endpoint of the tally instead of its right. In this
Upon construction of the
technique, examine the lewest value in the data set.
frequency distribution tables, include the number to the left of the lower limit of the
first interval.
In the given data for Example 6 below, the lowest value in the data set is 10.
The number to the left of 10 is 9. Then the first interval in the table will start from 9,
instead of 10.
[16]
or class
fined as
sented in
wer and
nit and
= limits.
ted by
size or
andary
ll the
ution
class
by
the
er of
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 6 steps with 3 images
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL