Concept explainers
a.
Construct the frequency distribution with approximately eight classes.
a.

Answer to Problem 8RE
The frequency distribution is,
Age | Frequency |
10-19 | 2 |
20-29 | 1 |
30-39 | 3 |
40-49 | 10 |
50-59 | 9 |
60-69 | 9 |
70-79 | 4 |
80-89 | 2 |
Total | 40 |
Explanation of Solution
Calculation:
The given information is that a data representing the age at which the all English and British monarchs died.
Frequency:
The frequencies are calculated by using the tally mark and the
- Based on the given information, the class intervals are 10-19, 20-29, 30-39, 40-49, 50-59, 60-69, 70-79, 80-89.
- Make a tally mark for each value in the corresponding age class and continue for all values in the data.
- The number of tally marks in each class represents the frequency, f of that class.
Similarly, the frequency of remaining classes for the age is given below:
Age | Tally | Frequency |
10-19 | 2 | |
20-29 | 1 | |
30-39 | 3 | |
40-49 | 10 | |
50-59 | 9 | |
60-69 | 9 | |
70-79 | 4 | |
80-89 | 2 | |
Total | 40 |
b.
Construct the frequency histogram based on the frequency distribution.
b.

Answer to Problem 8RE
Output obtained from MINITAB software for the ages is:
Explanation of Solution
Calculation:
Frequency Histogram:
Software procedure:
- Step by step procedure to draw the frequency histogram for the ages using MINITAB software.
- Choose Graph > Bar Chart.
- From Bars represent, choose unique values from table.
- Choose Simple.
- Click OK.
- In Graph variables, enter the column of Frequency.
- In Categorical variables, enter the column of Ages.
- Click OK
- Select Edit Scale, Enter 0 in Gap between clusters.
Observation:
From the bar graph, it can be seen that maximum age at death for the monarchs is in the interval 40-49.
c.
Construct a relative frequency distribution for the data.
c.

Answer to Problem 8RE
The relative frequency distribution for the data is:
Age | Relative frequency |
10-19 | 0.050 |
20-29 | 0.025 |
30-39 | 0.075 |
40-49 | 0.25 |
50-59 | 0.225 |
60-69 | 0.225 |
70-79 | 0.100 |
80-89 | 0.050 |
Explanation of Solution
Calculation:
Relative frequency:
The general formula for the relative frequency is,
Therefore,
Similarly, the relative frequencies for the remaining ages are obtained below:
Age | Frequency | Relative frequency |
10-19 | 2 | |
20-29 | 1 | |
30-39 | 3 | |
40-49 | 10 | |
50-59 | 9 | |
60-69 | 9 | |
70-79 | 4 | |
80-89 | 2 |
d.
Construct the relative frequency histogram based on the frequency distribution.
d.

Answer to Problem 8RE
Output obtained from MINITAB software for the ages is:
Explanation of Solution
Calculation:
Relative Frequency Histogram:
Software procedure:
- Step by step procedure to draw the relative frequency histogram for the ages using MINITAB software.
- Choose Graph > Bar Chart.
- From Bars represent, choose unique values from table.
- Choose Simple.
- Click OK.
- In Graph variables, enter the column of Relative Frequency.
- In Categorical variables, enter the column of Ages.
- Click OK
- Select Edit Scale, Enter 0 in Gap between clusters.
Observation:
From the bar graph, it can be seen that maximum age at death for the monarchs is in the interval 40-49.
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Chapter 2 Solutions
ALEKS 360 ESSENT. STAT ACCESS CARD
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