Concept explainers
DeCenzo Specialty Food and Beverage Company has been serving a cola drink with an additional flavoring, Cola-Plus, that is very popular among its customers. The company is interested in customer preferences for Cola-Plus versus Coca-Cola. Pepsi, and a lemon-lime beverage. They ask 100 randomly sampled customers to take a taste test and select the beverage they prefer most. The results are shown in the following table:
- (a) Is the data qualitative or quantitative? Why?
- (b) What is the table called? What does it show?
- (c) Develop a bar chart to depict the information.
- (d) Develop a pie chart using the relative frequencies.
a.
![Check Mark](/static/check-mark.png)
Identify the nature of the data whether it is qualitative or quantitate.
Explain your answer.
Answer to Problem 1SR
The nature of the data is quantitative.
Explanation of Solution
The given table explains the frequencies of different cola drinks with additional flavors that people prefer the most. The number of people who liked each flavor of cola drink is represented as numerical values. Therefore, the nature of the data is quantitative.
b.
![Check Mark](/static/check-mark.png)
Identify the name of the table.
Explain what does the table represents.
Answer to Problem 1SR
The given table is called as the frequency table.
The table explains the frequencies of different cola drinks with additional flavors that people prefer the most.
Explanation of Solution
Frequency table:
The frequency table is a collection of mutually exclusive and exhaustive classes that show the number of observations in each class.
Here, the given table explains the frequencies of different cola drinks with additional flavors that people prefer the most. Therefore, the given table is called as the frequency table.
c.
![Check Mark](/static/check-mark.png)
Construct a bar chart to depict the given information.
Answer to Problem 1SR
The bar chart for the given data is represented as follows:
Explanation of Solution
The bar chart for the given data can be drawn using EXCEL.
Step-by-step procedure to obtain bar chart using EXCEL is given below:
- Select the total data range with labels.
- Go to Insert > Charts > Bar chart.
- Select the appropriate bar chart.
- Click OK.
d.
![Check Mark](/static/check-mark.png)
Construct a pie chart using the relative frequencies.
Answer to Problem 1SR
The pie chart for the given data is represented as follows:
Explanation of Solution
The pie chart for the given data can be drawn using EXCEL.
Step-by-step procedure to obtain pie chart using EXCEL is given below:
- Select the total data range with labels.
- Go to Insert > Charts > pie chart.
- Select the appropriate pie chart.
- Click OK.
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Chapter 2 Solutions
Statistical Techniques in Business and Economics
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