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Discrete or Continuous? Identify the following quantitative variables as discrete or continuous: a. Population in a particular area of the United States b. Weight of newspapers recovered for recycling on a single day c. Time to complete a sociology exam d. Number of consumers in a poll of 1000 who consider nutritional labeling on food products to be important

Short Answer

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Question: Determine if each variable is discrete or continuous. a. Population in a particular area of the United States b. Weight of newspapers recovered for recycling on a single day c. Time to complete a sociology exam d. Number of consumers in a poll of 1000 who consider nutritional labeling on food products to be important

Step by step solution

01

Understanding Discrete and Continuous Variables

Discrete variables can only take specific, separate values, such as whole numbers. Continuous variables can take any value within a certain interval, including fractions and decimals.
02

Categorize Each Variable

a. Population in a particular area of the United States: Discrete. Population count consists of whole numbers (individuals), and there cannot be a fraction of a person. b. Weight of newspapers recovered for recycling on a single day: Continuous. The weight of newspapers can be measured in decimals or fractions, meaning it can take any value within a certain range. c. Time to complete a sociology exam: Continuous. Time can be measured in fractions or decimals, which indicates it can take any value within a certain range. d. Number of consumers in a poll of 1000 who consider nutritional labeling on food products to be important: Discrete. The number of consumers in this case will be whole numbers, as there cannot be a fraction or decimal of a consumer. Remember, to determine if a variable is discrete or continuous, always consider whether its values are fixed, whole numbers, or if they can include fractions and decimals within a certain range.

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