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State whether the data described below are discrete or continuous, and explain why. The volumes (in cubic feet) of dilferent rooms A. The data are discrete because the data can only take on specific values. B. The data are continuous 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 take on any value in an interval

Respuesta :

Answer:

Option D) The data are continuous because the data can take on any value in an interval          

Step-by-step explanation:

Discrete Data:

  • The value of discrete data can be expressed in whole numbers.
  • They cannot take all the values within an interval.
  • Discrete variables are usually counted not measured.

Continuous data:

  • The value of continuous data can be expressed in decimals.
  • They can take all the values within an interval.
  • Continuous variables are usually measured not counted.

The volumes (in cubic feet) of different rooms

Since the volume can be expressed in decimals, it can take all the values within an interval. Also volume is measured not counted. Hence, it is a continuous variable.

Thus, the correct answer is:

Option D) The data are continuous because the data can take on any value in an interval

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