State whether the data described below are discrete or continuous, and explain why.

Question

Question

State whether the data described below are discrete or continuous, and explain why.

The exact ages in hours of different cockroaches found in a certain city.

A. The data are discrete because the data can only take on specific values.

B. The data are discrete because the data can take on any value in an interval.

C. The data are continuous because the data can only take on specific values.

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

math Statistics-And-Probability

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Answer 1

Answer #1

Correct option:

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

EXPLANATION:
Though it is given that exact ages in hours, it is not given that they are integers. So, the ages in hours can take any value in a given interval. So, it is continuous and not discrete.

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Answer 2

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State whether the data described below are discrete or continuous, and explain why.

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