Pregunta
State whether the data described below are discrete or continuous, and explain why. The numbers of checked bags on flights between San Francisco and Atlanta A. The data are continuous because the data can take on any value in an interval. B. The data are discrete because the data can only take on specific values. D. The data are continuous because the data can only take on specific values.
Ask by Gross Pierce. in the United States
Jan 30,2025
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The data are discrete because the number of checked bags can only be whole numbers.
Solución
The correct answer is:
**B. The data are discrete because the data can only take on specific values.**
### Explanation:
- **Discrete Data**: This type of data consists of distinct or separate values. In this case, the number of checked bags can only be whole numbers (0, 1, 2, 3, etc.). You cannot have a fraction of a checked bag, so the values are limited to specific integers.
- **Continuous Data**: This type of data can take on any value within a given range or interval. For example, measurements like height, weight, or temperature can be any value, including fractions and decimals.
Since the number of checked bags is counted in whole numbers, it is classified as discrete data.
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Bonus Knowledge
The data are discrete because the data can only take on specific values. In this case, you can't have a fraction of a checked bag; you can only have whole numbers (0, 1, 2, etc.). In the real world, this means when you're at the airport counting checked bags, you can only count complete bags. So if you're counting how many bags are checked on a flight, you're limited to whole numbers, making this situation a classic example of discrete data.
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