Questions: State whether the data described below are discrete or continuous, and explain why. The numbers of ingredients in different recipes Choose the correct answer below. 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. C. The data are discrete because the data can take on any value in an interval. D. The data are continuous because the data can only take on specific values.

State whether the data described below are discrete or continuous, and explain why. The numbers of ingredients in different recipes Choose the correct answer below. 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. C. The data are discrete because the data can take on any value in an interval. D. The data are continuous because the data can only take on specific values.
Transcript text: State whether the data described below are discrete or continuous, and explain why. The numbers of ingredients in different recipes Choose the correct answer below. 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. C. The data are discrete because the data can take on any value in an interval. D. The data are continuous because the data can only take on specific values.
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Solution

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Solution Steps

Step 1: Identify the Context of Data

The given context of data is 'numbers of ingredients in different recipes'. This context helps in understanding the real-world scenario or measurement being described.

Step 2: Analyze the Nature of Data Values

The data can only take on specific, separate values (countable values). Therefore, it is classified as ^discrete^.

Step 3: Apply Definitions

^Discrete Data^: Data that can only take certain values. These values are countable and often represent quantities.

Step 4: Consider Measurement Precision

In practice, continuous data may appear discrete due to measurement limitations, but the theoretical ability to take any value within an interval classifies it as continuous. This consideration is crucial for understanding the nature of the data in real-world applications.

Final Answer:

The data described in the context of 'numbers of ingredients in different recipes' are classified as ^discrete^ based on their ability to only take on specific, separate values.

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