Question

state whether the data described below are discrete or continuous, and explain why. the exact heights of different elephants. choose the correct answer below. a. the data are discrete because the data can take on any value in an interval. b. the data are continuous because the data can take on any value in an interval. c. the data are discrete because the data can only take on specific values. d. the data are continuous because the data can only take on specific values.

Explanation:

To determine if the data (exact heights of elephants) is discrete or continuous, we recall the definitions: Discrete data takes specific, distinct values (e.g., number of elephants), while continuous data can take any value within an interval (e.g., height, weight, time). Heights can be measured with any precision (e.g., 2.5 m, 2.51 m, 2.512 m), so they lie in an interval of possible values. Option A is wrong (discrete doesn't take any interval value), C is wrong (heights aren't specific distinct values), D is wrong (continuous doesn't take only specific values). So B is correct as it matches the definition of continuous data.

Answer:

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