Question

state whether the data described below are discrete or continuous, and explain why.
the heights of trees in a forest
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 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 only take on specific values.

Explanation:

To determine if the data (heights of trees) is discrete or continuous, we recall: Discrete data takes specific, distinct values (e.g., number of trees), while continuous data can take any value in an interval (e.g., height, weight). Tree heights can be measured with any precision (e.g., 10.5 meters, 10.55 meters), so they can take any value in an interval. Thus, the data is continuous, matching option A.

Answer:

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