Question

1. Here are some examples of data. Answer whether each is discrete or continuous data.

a. The number of customers in a shop.
b. The weight of a baby.
c. Shoe sizes.
d. The length of a leaf.

Answer 1

discrete and continuous data

Answer 2

a. Discrete data

b. Continuous data

c. Discrete data

d. Continuous data

Explanation:

a. It is always possible to count the number of customers in a line, this is a type of discrete random variable.

b. The weight of a baby in its first year or the temperature in a room throughout the day.

c. Shoe sizes can be decimals (7.5 or 8.5) but there are still a fixed set of possible values with gaps between them (there is no 7.9 shoes size). Therefore shoe size is a discrete random variable.

d. The length is typically considered a continuous variable, since, a sea otter will typically not measure exactly 5 feet, but the length will differ by some fraction of a foot.