Question

state whether the data described below are discrete or continuous, and explain why. the numbers of personal cars owned by different households. choose the correct answer below. a. the data are continuous because the data can take on any value in an interval. 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 discrete because the data can only take on specific values.

Explanation:

Discrete data consists of distinct, separate values that can be counted. The number of personal cars owned by households can only be whole - numbers (0, 1, 2, etc.), specific values. Continuous data can take any value within an interval, like height or weight. Since the number of cars is countable and can only have specific values, it is discrete.

Answer:

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