We are asked to determine if the given data is categorical or numerical. If numerical, we need to specify if it is continuous or discrete. a) Number of pets in a household. b) The height of a tree measured each week for 1 year. c) A student's favorite food. d) The maximum daily temperature of a town measured each day for one month.

1. Problem Description

We are asked to determine if the given data is categorical or numerical. If numerical, we need to specify if it is continuous or discrete.

a) Number of pets in a household.

b) The height of a tree measured each week for 1 year.

c) A student's favorite food.

d) The maximum daily temperature of a town measured each day for one month.

2. Solution Steps

a) The number of pets in a household is a count. Counts are numerical and discrete. You can have 0, 1, 2, 3, etc. pets, but you cannot have 2.5 pets.

b) The height of a tree is a measurement. Measurements are numerical and can take on any value within a range. Thus it is continuous.

c) A student's favorite food is a name or category. Thus it is categorical.

d) The maximum daily temperature is a measurement. Measurements are numerical and can take on any value within a range. Thus it is continuous.

3. Final Answer

a) Numerical (Discrete)

b) Numerical (Continuous)

c) Categorical

d) Numerical (Continuous)