**Note:**

- The variable type must be one of continuous, discrete, nominal, or ordinal (saying quantitative or categorical is not specific enough).

## Types of Variables I

- Miles driven per week is quantitative,
**continuous**because another value CAN be found between any two miles driven values (e.g., a student can drive between 10 and 10.1 miles per week, between 10 and 10.01 miles per week, and so on). - Type of vehicle is categorical,
**nominal**because the types represent groups but there is no order among the groups. - Signs of disease is categorical,
**nominal**because “yes” and “no” are groups and a categorical variables with two levels is nominal by definition. - Number of fleas is quantitative,
**discrete**because another value can NOT be found between all pairs of numbers of fleas (e.g., there cannot be between 10 and 11 fleas). - Relative health of a rabbit is categorical,
**ordinal**because the health was organized by groups (e.g., excellent) and those groupings were ordered. - Species of rabbit is categorical,
**nominal**because species is a type of group, but there is no order among those groups. - Number of correct answers is quantitative,
**discrete**because a value can NOT be found between all pairs of correct answers (e.g., there cannot be between 19 and 20 correct answers). - Concentration of lead is quantitative,
**continuous**because a value CAN be found between any pair of lead concentrations. - Risk potential is categorical,
**ordinal**because a grouping was created (e.g., “high risk”) and those groupings have an order. - Information medium is categorical,
**nominal**because they are types, but those types do not have an ordering. - The Koppen scheme is definitely categorical and I think it is
**nominal**because I don’t see an ordering in the given categories (i.e., they don’t appear to range from wet to dry, cold to hot, north to south).

**Note:**

- The specificity in the description for the individual (usually specific about “when” and “where”).
- The use of “ALL” when describing the population and parameter.
- The list of a specific number of individuals when describing the sample and statistic.
- The use of a specific type of summary (almost always the mean/average or percentage/proportion) when describing the parameter and statistic. Further note that the same summary word is used for both the parameter and statistic.
- A summary word usually does not appear in the description of the variable.
- The variable type must be one of continuous, discrete, nominal, or ordinal (saying quantitative or categorical is not specific enough).

## Sustainability Survey

- I - A Northland College Student in Fall, 2013
- V - Number of miles driven per week
- Po -
**ALL**Northland College Students in Fall, 2013 - Pa -
*Average*number of miles driven per week by**ALL**Northland College Students in Fall, 2013 - Sa - 147 sampled Northland College students
- St -
*Average*number of miles driven per week by 147 sampled Northland College Students in Fall, 2013 - Variable Type - Miles driven per week is quantitative, continuous because another value can be found been any two miles driven.

## Crayfish and Bass

- I - a Rusty Crayfish in the lake with Smallmouth Bass in 2015
- V - carapace length of Rusty Crayfish
- Po -
**ALL**Rusty Crayfish in the lake with Smallmouth Bass in 2015 - Pa -
*mean*carapace length of**ALL**Rusty Crayfish in the lake with Smallmouth Bass in 2015 - Sa - 235 Rusty Crayfish in the lake with Smallmouth Bass in 2015 that were actually examined
- St -
*mean*carapace length of 235 Rusty Crayfish in the lake with Smallmouth Bass in 2015 - Variable Type - Carapace length is a continuous quantitative variable because a carapace length can be found between any two carapace lengths.

## Types of Variables II

- Answers will vary by student. See instructor if you have questions about your example.