Educational worksheet for students to identify whether research questions yield discrete or continuous data.

Problem Overview:

The task is to classify each research question as either discrete data or continuous data. The definitions provided are:

- Discrete Data: Data that consists of distinct, separate values with no intermediate values possible. Examples include counts (e.g., number of pets, siblings).
- Continuous Data: Data that can take on any value within a range. Examples include measurements (e.g., temperature, time).

Solution Approach:

For each research question, we will determine whether the answer would be a discrete value (countable and indivisible) or a continuous value (measurable and divisible). We will use the tip provided: "Ask yourself if you can split the answer in half."

Step-by-Step Analysis:

1. How many millimeters of snowfall fell in December?
- This is a measurement of snowfall, which can be any value within a range (e.g., 5.5 mm, 10.2 mm).
- Continuous Data

2. How many siblings do you have?
- This is a count of siblings, which must be a whole number (e.g., 0, 1, 2).
- Discrete Data

3. What was the average temperature in July?
- Temperature is a measurement that can take on any value within a range (e.g., 25.3°C, 30.7°C).
- Continuous Data

4. How many minutes did you read this week?
- This is a count of minutes, which must be a whole number (e.g., 30 minutes, 60 minutes).
- Discrete Data

5. How many video games do you own?
- This is a count of video games, which must be a whole number (e.g., 5 games, 10 games).
- Discrete Data

6. How many kilometers did you run this week?
- Distance is a measurement that can take on any value within a range (e.g., 5.5 km, 10.2 km).
- Continuous Data

7. How many sports do you play?
- This is a count of sports, which must be a whole number (e.g., 1 sport, 3 sports).
- Discrete Data

8. What grade are you in?
- Grade is a specific level (e.g., 5th grade, 8th grade), which is a discrete category.
- Discrete Data

9. How many liters of milk do you drink a week?
- Volume is a measurement that can take on any value within a range (e.g., 2.5 liters, 3.7 liters).
- Continuous Data

10. How many cars does your family have?
- This is a count of cars, which must be a whole number (e.g., 1 car, 2 cars).
- Discrete Data

Final Classification:

| Research Question | Discrete/Continuous |
|--------------------------------------------------------|---------------------|
| 1. How many millimeters of snowfall fell in December? | Continuous |
| 2. How many siblings do you have? | Discrete |
| 3. What was the average temperature in July? | Continuous |
| 4. How many minutes did you read this week? | Discrete |
| 5. How many video games do you own? | Discrete |
| 6. How many kilometers did you run this week? | Continuous |
| 7. How many sports do you play? | Discrete |
| 8. What grade are you in? | Discrete |
| 9. How many liters of milk do you drink a week? | Continuous |
| 10. How many cars does your family have? | Discrete |

Final Answer:

\boxed{
\begin{array}{|l|c|}
\hline
\text{Research Question} & \text{Discrete/Continuous} \\
\hline
1. \text{How many millimeters of snowfall fell in December?} & \text{Continuous} \\
2. \text{How many siblings do you have?} & \text{Discrete} \\
3. \text{What was the average temperature in July?} & \text{Continuous} \\
4. \text{How many minutes did you read this week?} & \text{Discrete} \\
5. \text{How many video games do you own?} & \text{Discrete} \\
6. \text{How many kilometers did you run this week?} & \text{Continuous} \\
7. \text{How many sports do you play?} & \text{Discrete} \\
8. \text{What grade are you in?} & \text{Discrete} \\
9. \text{How many liters of milk do you drink a week?} & \text{Continuous} \\
10. \text{How many cars does your family have?} & \text{Discrete} \\
\hline
\end{array}
}