Question
State whether the data described below are discrete or continuous, and explain why The number of people in a theater each night Choose the correct answer below. A. The data are discrete because the data can take on any value in an interval. B. The data are continuous because the data can take on any value in an interval. C. 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.
Solution
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HumphreyMaster · Tutor for 5 years
Answer
### C. The data are discrete because the data can only take on specific values.
Explain
## Step 1: Understanding Discrete Data<br />### Discrete data can only take on specific values, typically integers, representing countable quantities. For example, the number of people can be 1, 2, 3, and so on, but not 1.5 or 2.7.<br /><br />## Step 2: Understanding Continuous Data<br />### Continuous data can take on any value within a given range. Think of measurements like height, weight, or temperature, which can have decimal values.<br /><br />## Step 3: Analyzing the Given Data<br />### The number of people in a theater each night can only be whole numbers. You can't have half a person. This means the data can only take on specific values.
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