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

The exact lengths (in kilometers) of the ocean coastlines of different countries.

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

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

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

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

Question

Mathematics

Tabitha Stanley

13 July, 11:34

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

The exact lengths (in kilometers) of the ocean coastlines of different countries.

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

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

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

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

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Answers (1)

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Turner George · Answer 1

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

Step-by-step explanation:

A variable is said to be continuous if it can take on any value in an interval. Examples are lengths, temperature, etc

A discrete variable, on the other hand, can only take on specific values. Examples of discrete variables are the number of students and age.

The exact lengths (in kilometers) of the ocean coastlines of different countries is a continuous variable because it can take on any value in an interval.

A stated earlier, Lengths are in general, continuous variables.