Activity 3: Classifying Variables

Directions: Identify the following variable as either qualitative or quantitative. Then, classify which specific category they belong to.

\begin{tabular}{|c|c|c|}
\hline
\textbf{Data} & \textbf{Type of Variable} \newline (Qualitative/Quantitative) & \textbf{Classification} \newline (Discrete, Continuous, Interval, Ratio, Nominal, Dichotomous, Ordinal) \\
\hline
Ex. Number of eggs laid by chickens & Quantitative & Discrete, Interval \\
\hline
1. Amount of fertilizer given to plants & & \\
\hline
\begin{tabular}{l}
2. Weight of Pechay harvested \newline (in grams)
\end{tabular} & & \\
\hline
3. Speed of car & & \\
\hline
4. Tomato plant variety & & \\
\hline
\begin{tabular}{l}
5. Color of alcohol packaging \newline (blue, orange, white, pink)
\end{tabular} & & \\
\hline
\end{tabular}



Answer :

Let's go through each variable one by one and classify them with detailed explanations:

1. Amount of fertilizer given to plants
- Type of variable: Quantitative
- Classification: Continuous
- Explanation: The amount of fertilizer can be measured in a scale with infinite possible values (e.g., grams, kilograms). It is a numerical value that can take any value within a given range.

2. Weight of Pechay harvested (in grams)
- Type of variable: Quantitative
- Classification: Continuous
- Explanation: The weight of Pechay can be measured precisely to a very fine degree, such as in grams. It is a numerical value and can vary widely, taking on any value within the range of possible weights.

3. Speed of car
- Type of variable: Quantitative
- Classification: Continuous
- Explanation: The speed of a car can be measured in units like km/h or mph, and it can take on any value within a realistic range (e.g., 0 km/h to several hundred km/h). Speed, being a continuous measurement, has an infinite number of possible values.

4. Tomato plant variety
- Type of variable: Qualitative
- Classification: Nominal
- Explanation: The variety of tomato plants is categorized by name (e.g., Cherry, Roma, Beefsteak). These categories have no intrinsic numerical value or order.

5. Color of alcohol packaging (blue, orange, white, pink)
- Type of variable: Qualitative
- Classification: Nominal
- Explanation: The color of the packaging is a categorical variable where the categories are names of colors (blue, orange, etc.). These categories do not have a numerical value or a meaningful order and are simply labels.

Here is the completed table:

\begin{tabular}{|c|c|c|}
\hline Data & \begin{tabular}{l}
Type of variable \\
(Qualitative/Quantitative)
\end{tabular} & \begin{tabular}{l}
Classification \\
(Discrete, continuous, \\
interval, ratio, nominal, \\
dichotomous, ordinal)
\end{tabular} \\
\hline Ex. Number of eggs laid by chickens & Quantitative & Discrete, interval \\
\hline 1. Amount of fertilizer given to plants & Quantitative & Continuous \\
\hline \begin{tabular}{l}
2. Weight of Pechay harvested (in \\
grams)
\end{tabular} & Quantitative & Continuous \\
\hline 3. Speed of car & Quantitative & Continuous \\
\hline 4. Tomato plant variety & Qualitative & Nominal \\
\hline \begin{tabular}{l}
5. Color of alcohol packaging (blue, \\
orange, white, pink)
\end{tabular} & Qualitative & Nominal \\
\hline
\end{tabular}