To determine whether each situation represents discrete data or continuous data, we can categorize them as follows:
Discrete Data: This type of data consists of distinct or separate values. It typically involves counts of items or occurrences.
- Number of students in a class: Discrete (you can count the number of students, like 20, 21, etc.)
- Basketball scores: Discrete (scores can be whole numbers, e.g., 50, 51, etc.)
- Number of cars in a parking lot: Discrete (counts of cars, e.g., 10, 11, etc.)
Continuous Data: This type of data can take any value within a given range and can be measured. It often involves measurements.
- The length of a leaf: Continuous (can take many values, e.g., 3.5 cm, 3.55 cm, etc.)
- A person's height: Continuous (can take many values, e.g., 170.5 cm, etc.)
- Time in a race: Continuous (can take many values, e.g., 12.34 seconds, etc.)
In summary:
Discrete Data:
- Number of students in a class
- Basketball scores
- Number of cars in a parking lot
Continuous Data:
- The length of a leaf
- A person's height
- Time in a race