Excursions in Modern Mathematics (9th Edition)
9th Edition
ISBN: 9780134468372
Author: Peter Tannenbaum
Publisher: PEARSON
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Textbook Question
Chapter 15, Problem 1E
Exercises 1 through 4 refer to the data set shown in Table 15-12. The table shows the scores on a Chem 103 test consisting of 10 questions worth 10 points each.
Chem 103 test scores.
Table 15-12
Chem 103 test scores
| Student ID | Score | Student ID | Score |
| 1362 | 50 | 4315 | 70 |
| 1486 | 70 | 4719 | 70 |
| 1721 | 80 | 4951 | 60 |
| 1932 | 60 | 5321 | 60 |
| 2489 | 70 | 5872 | 100 |
| 2766 | 10 | 6433 | 50 |
| 2877 | 80 | 6921 | 50 |
| 2964 | 60 | 8317 | 70 |
| 3217 | 70 | 8854 | 100 |
| 3588 | 80 | 8964 | 80 |
| 3780 | 80 | 9158 | 60 |
| 3921 | 60 | 9347 | 60 |
| 4107 | 40 |
a. Make a frequency table for the Chem 103 test scores.
b. Draw a bar graph for the data in Table 15-12.
Expert Solution
To determine
a.
To find:
The frequency table for the Chem 103 test scores.
Answer to Problem 1E
Solution:
The frequency table for the Chem 103 test scores is given by,
| Score | Frequency |
| 10 | 1 |
| 40 | 1 |
| 50 | 3 |
| 60 | 7 |
| 70 | 6 |
| 80 | 5 |
| 100 | 2 |
Explanation of Solution
Given:
The table below shows the scores on a Chem 103 test consisting of 10 questions worth 10 points each.
| Student ID | Score | Student ID | Score |
| 1362 | 50 | 4315 | 70 |
| 1486 | 70 | 4719 | 70 |
| 1721 | 80 | 4951 | 60 |
| 1932 | 60 | 5321 | 60 |
| 2489 | 70 | 5872 | 100 |
| 2766 | 10 | 6433 | 50 |
| 2877 | 80 | 6921 | 50 |
| 2964 | 60 | 8317 | 70 |
| 3217 | 70 | 8854 | 100 |
| 3588 | 80 | 8964 | 80 |
| 3780 | 80 | 9158 | 60 |
| 3921 | 60 | 9347 | 60 |
| 4107 | 40 |
A frequency table is a table with the frequency of each actual value in the data set.
Approach:
From the given table the number of students with a score of 10 is 1, so the frequency of score 10 is 1, similarly the number of students with a score of 40 is 1, so the frequency of score 40 is 1 similarly frequencies for rest of scores can be computed.
The frequency table for the Chem 103 test is given by,
| Score | Frequency |
| 10 | 1 |
| 40 | 1 |
| 50 | 3 |
| 60 | 7 |
| 70 | 6 |
| 80 | 5 |
| 100 | 2 |
Expert Solution
To determine
b)
To construct:
The bar graph corresponding to the given table.
Answer to Problem 1E
Solution:
The bar graph is given below.
Explanation of Solution
Given:
The table below shows the scores on a Chem 103 test consisting of 10 questions worth 10 points each.
| Student ID | Score | Student ID | Score |
| 1362 | 50 | 4315 | 70 |
| 1486 | 70 | 4719 | 70 |
| 1721 | 80 | 4951 | 60 |
| 1932 | 60 | 5321 | 60 |
| 2489 | 70 | 5872 | 100 |
| 2766 | 10 | 6433 | 50 |
| 2877 | 80 | 6921 | 50 |
| 2964 | 60 | 8317 | 70 |
| 3217 | 70 | 8854 | 100 |
| 3588 | 80 | 8964 | 80 |
| 3780 | 80 | 9158 | 60 |
| 3921 | 60 | 9347 | 60 |
| 4107 | 40 |
A bar graph is a graph with bars (column) representing each of the actual values in the data set. The height of each column represents the frequency of the value in the data set.
Approach:
From the given table the number of students with a score of 0 is 0, so the frequency of score 0 is 0, similarly the number of students with a score of 10 is 1, so the frequency of score 10 is 1 similarly frequencies for rest of scores can be computed.
The frequency table for the Chem 103 test is given by,
| Score | Frequency |
| 0 | 0 |
| 10 | 1 |
| 20 | 0 |
| 30 | 0 |
| 40 | 1 |
| 50 | 3 |
| 60 | 7 |
| 70 | 6 |
| 80 | 5 |
| 90 | 0 |
| 100 | 2 |
Place the scores along horizontal axis and the frequencies along vertical axis to construct bar graph. The bar graph of the frequency table is given below.
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Chapter 15 Solutions
Excursions in Modern Mathematics (9th Edition)
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