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Question 1 Classify each of the following as discrete or continuous data. (a) The height of orange trees in an orchard. continvous Dens. (b) The number of people attending the local show. (b)

Ask by Chan Wheeler. in Australia
Jan 19,2025

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**(a) Continuous Data** **(b) Discrete Data**

Solution

Certainly! Let's classify each of the provided scenarios as **discrete** or **continuous** data. --- **(a) The height of orange trees in an orchard.** - **Type:** **Continuous Data** **Explanation:** Heights can take any value within a range and can be measured to various degrees of precision (e.g., 5.4 meters, 5.42 meters, etc.). Since the data can assume an infinite number of values within a given interval, it is classified as continuous. --- **(b) The number of people attending the local show.** - **Type:** **Discrete Data** **Explanation:** The number of people is counted in whole numbers (e.g., 100 attendees, 101 attendees). You can't have a fraction of a person attending, making the data countable and thus discrete. --- **Summary:** - **(a)** Continuous - **(b)** Discrete If you have any more questions or need further clarification, feel free to ask!

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The height of orange trees in an orchard is measured in units such as centimeters or meters, allowing for an infinite number of possible values within a range, so it’s continuous data. On the other hand, the number of people attending the local show is counted in whole numbers, representing distinct and separate values. This makes it discrete data, as you can only have a whole number of attendees—no fractions allowed!

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