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Chapter 1: Problem 4

Discrete or Continuous? Identify each quantitative variable as discrete or continuous. a. Number of boating accidents along a 50 -mile stretch of the Colorado River b. Time required to complete a questionnaire c. Cost of a head of lettuce d. Number of brothers and sisters you have e. Yield in kilograms of wheat from a 1 -hectare plot in a wheat field

Short Answer

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Question: Identify whether the following quantitative variables are discrete or continuous: a. Number of boating accidents along a 50-mile stretch of the Colorado River b. Time required to complete a questionnaire c. Cost of a head of lettuce d. Number of brothers and sisters you have e. Yield in kilograms of wheat from a 1-hectare plot in a wheat field Answer: a. Discrete b. Continuous c. Continuous d. Discrete e. Continuous

Step by step solution

01

a. Number of boating accidents along a 50-mile stretch of the Colorado River

The number of boating accidents is a countable value, meaning it is a discrete variable.
02

b. Time required to complete a questionnaire

The time required to complete a questionnaire can be any value within a specific range and there are infinite values within that range, making it a continuous variable.
03

c. Cost of a head of lettuce

The cost of a head of lettuce can have infinite values within a specific range (for example, the price can be \(1.00, \)1.01, $1.011, etc.), making it a continuous variable.
04

d. Number of brothers and sisters you have

The number of brothers and sisters is a countable value, meaning it is a discrete variable.
05

e. Yield in kilograms of wheat from a 1-hectare plot in a wheat field

The yield of wheat can have infinite values within a specific range (the amount of wheat can be 1000 kg, 1000.1 kg, 1000.01kg, etc.), making it a continuous variable.

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