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.

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

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.