A basketball roster is shown in the table.
Basketball Roster
\begin{tabular}{|c|c|c|c|}
\hline Player & Grade & Position & Height \\
\hline Adams & 11 & G & $5^{\prime} 6^{\prime \prime}$ \\
\hline Brock & 12 & F & $5^{\prime} 8^{\prime \prime}$ \\
\hline Cupp & 11 & F & $5^{\prime} 9^{\prime \prime}$ \\
\hline Dennis & 10 & G & $5^{\prime} 3^{\prime \prime}$ \\
\hline Early & 12 & C & $5^{\prime} 11^{\prime \prime}$ \\
\hline Finn & 11 & F & $5^{\prime \prime} 9^{\prime \prime}$ \\
\hline Grahm & 12 & G & $5^{\prime} 5^{\prime \prime}$ \\
\hline
\end{tabular}
Which variable would be classified as a continuous quantitative variable?
A. grade
B. height
C. player name
D. position
Answer (1)
A continuous quantitative variable can take any value within a range.
Grade, player name, and position are not continuous quantitative variables.
Height can take any value within a range.
Therefore, the answer is height: h e i g h t .
Explanation
Identify the problem We need to identify the continuous quantitative variable from the given options: grade, height, player name, and position. A continuous quantitative variable is a numerical variable that can take on any value within a given range.
Analyze Grade Grade is a numerical value representing categories (e.g., 10th, 11th, 12th). It is a discrete variable because it can only take specific integer values.
Analyze Height Height is a numerical value that can take on any value within a range (e.g., a person's height can be 5 ′ 6 ′′ , 5 ′ 6. 5 ′′ , etc.). It is a continuous variable.
Analyze Player Name Player name is a categorical variable because it represents names, which are not numerical.
Analyze Position Position is a categorical variable because it represents categories like G (guard), F (forward), and C (center), which are not numerical.
Conclusion Therefore, the continuous quantitative variable is height.
Examples
In real life, measuring a person's height is an example of a continuous quantitative variable. Heights can take on any value within a range, such as 5.5 feet, 5.75 feet, or 6.0 feet. This contrasts with discrete variables like the number of students in a class, which can only be whole numbers.
