Question

1 mark for review which of the following describes a continuous variable? a the number of items sold at a craft booth for one day b the number of apps downloaded from a website one day c the diameters of the tree trunks at an evergreen farm d the number of baskets made by a basketball player e the shoe sizes of all shoes on sale at a department store

Explanation:

A continuous variable can take any value within a range (including decimals/fractions), while discrete variables are countable (integers).

• Option A: Number of items sold is discrete (countable, whole numbers).
• Option B: Number of apps downloaded is discrete.
• Option C: Tree trunk diameters can be measured with precision (e.g., 10.5 cm, 20.34 cm), so they are continuous.
• Option D: Number of baskets made is discrete.
• Option E: Shoe sizes are typically whole numbers or half - numbers (discrete, as they are predefined sizes, not infinitely divisible in practice for sizing).

Answer:

C. The diameters of the tree trunks at an evergreen farm