Final answer:
The time to learn a song is considered quantitative continuous data because it involves measurements that can take on any fractional value within a range, unlike discrete data which can only be specific, countable values.
Step-by-step explanation:
The time to learn a song, being 4 hours, falls into the category of quantitative continuous data. This is because this type of data can take on any value within a range and often involves measurements of time, length, or weight. You can have a time period that is not only 4 hours, but also 4 hours and 5 minutes, or 4 hours and 30 seconds, and so forth, covering an infinite number of possible values between any two points in time.
Quantitative data is either discrete or continuous. Discrete data can only take certain values, often whole numbers, and are countable, such as the number of shoes you own, or the number of classes you take per school year. On the other hand, continuous data covers a continuum of values and can include fractions and decimals, like weights of sumo wrestlers or the duration of phone calls. The essential difference is that discrete data points are countable and often start with the words 'the number of', while continuous data can take on any value and are often the results of measurements.
When determining the correct data type, consider the context and whether the data can only take specific set values (discrete) or any value in an interval (continuous). For the time to learn a song, because it involves a measurement of time that can include fractions of an hour, it is classified as continuous data.