Final answer:
Quantitative data is related to metrics that can be represented with a number and includes both quantitative discrete and quantitative continuous types. The number of times per week is an example of quantitative discrete data, while the duration of an activity is an example of quantitative continuous data.
Step-by-step explanation:
The type of data that relates to a metric which can be represented with a number is quantitative data. Quantitative data result from counting or measuring attributes of a population and can be either discrete or continuous. For example, the number of times per week someone performs an activity is a quantitative discrete data, because it takes on specific numerical values and these values are countable. Conversely, duration (amount of time) is considered quantitative continuous data because it can take on any value within a given range and requires measurement.
Qualitative data, on the other hand, are categorical and describe attributes that are not numerical. Examples include hair color, blood type, and ethnic group. These attributes are typically described with words rather than numbers.
Categorical data is another term for qualitative data, which involves grouping by characteristics or qualities rather than numerical measures. An example of categorical data would be the colors of houses, as these cannot be quantitatively measured but can be described and grouped by color.