Questions: The top five books on the best seller list last year are shown below.
1. Gone Girl
2. Private London
3. Spring Fever
4. The Racketeer
5. Kiss The Dead
Identify the level of measurement of the data set. Explain your reasoning.
What is the data set's level of measurement? Explain your reasoning.
A. Ordinal. The data can be arranged in order, but the differences between data entries are not meaningful.
B. Nominal. The data are categorized using names, labels, or qualities, but the data cannot be ranked or arranged in order.
C. Interval. The data can be ordered and differences between data entries are meaningful, but the zero entry is not an inherent zero.
D. Ratio. The data can be ordered and differences between data entries are meaningful, and the zero entry is an inherent zero.
Transcript text: The top five books on the best seller list last year are shown below.
1. Gone Girl
2. Private London
3. Spring Fever
4. The Racketeer
5. Kiss The Dead
Identify the level of measurement of the data set. Explain your reasoning.
What is the data set's level of measurement? Explain your reasoning.
A. Ordinal. The data can be arranged in order, but the differences between data entries are not meaningful.
B. Nominal. The data are categorized using names, labels, or qualities, but the data cannot be ranked or arranged in order.
C. Interval. The data can be ordered and differences between data entries are meaningful, but the zero entry is not an inherent zero.
D. Ratio. The data can be ordered and differences between data entries are meaningful, and the zero entry is an inherent zero.
Solution
Solution Steps
Solution Approach
The data set represents a ranking of books, which means the data can be arranged in order. However, the differences between the entries are not meaningful, as the ranking does not indicate the magnitude of difference between the books. Therefore, the level of measurement is ordinal.
Step 1: Identify the Data Type
The data set consists of the top five books on a best seller list. Each book is represented by its title, which categorizes the data using names.
Step 2: Determine the Level of Measurement
The data can be arranged in a specific order based on their ranking. However, the differences between the ranks do not convey meaningful information about the magnitude of the differences between the books. This indicates that the data is not interval or ratio, as those levels require meaningful differences.
Step 3: Classify the Level of Measurement
Given that the data can be ordered but the differences between the entries are not meaningful, the appropriate classification for this data set is ordinal.
Final Answer
The level of measurement is \(\boxed{\text{Ordinal}}\).