Final answer:
Variables are continuous if they represent measurements within a range, and discrete if they involve countable amounts. A participant's estimate and cranial capacity are continuous, while the number of tickets purchased and classmates using the web are discrete.
Step-by-step explanation:
In order to determine whether variables are continuous or discrete, we must identify whether the variable can take on any value within a range (continuous) or whether it consists of countable values (discrete).
- (a) A participant's estimate for the height of an image projected 12 meters away would be considered continuous data because it represents a measurement that could potentially have any value within a range.
- (b) The number of tickets purchased by a caller on a Rose Bowl ticket hotline is an example of discrete data, as tickets can only be counted in whole numbers; you cannot purchase a fraction of a ticket.
- (c) Cranial capacity (space inside the skull) of a human skull is continuous data because it involves a measurement of volume, which can vary continuously.
- (d) The number of classmates who have used the World Wide Web is discrete, as this number is countable.