Questions: State whether the data described below are discrete or continuous, and explain why. The numbers of countries in the world in different years Choose the correct answer below. A. The data are discrete because the data can only take on specific values. B. The data are continuous 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 discrete because the data can take on any value in an interval.

State whether the data described below are discrete or continuous, and explain why.
The numbers of countries in the world in different years

Choose the correct answer below.
A. The data are discrete because the data can only take on specific values.
B. The data are continuous 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 discrete because the data can take on any value in an interval.

Transcript text: State whether the data described below are discrete or continuous, and explain why. The numbers of countries in the world in different years Choose the correct answer below. A. The data are discrete because the data can only take on specific values. B. The data are continuous 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 discrete because the data can take on any value in an interval.

Solution

Solution Steps

Step 1: Identify the Context of Data

The context of the data being analyzed is related to geography and demography. This context helps in understanding the domain or field from which the data is derived and provides initial insight into whether the data might be discrete or continuous.

Step 2: Analyze the Nature of Data Values

The data can only take on specific, separate values. These values are often counted and not measured, which is indicative of discrete data.

Step 3: Apply Definitions

^Discrete Data^: Data that can only take specific values within a range. These values are countable and often represent quantities.