Identify each of the following as examples of (1) nominal,...

Identify each of the following as examples of (1) nominal, (2) ordinal, (3) discrete, or (4) continuous variables: a. $\quad$ A poll of registered voters as to which candidate they support b. The length of time required for a wound to heal when a new medicine is being used c. The number of televisions within a household d. The distance first-year college women can kick a football e. The number of pages per job coming from a computer printer f. The kind of tree used as a Christmas tree

Identify each of the following as examples of (1) nominal, (2) ordinal, (3) discrete, or (4) continuous variables:
a. $\quad$ A poll of registered voters as to which candidate they support
b. The length of time required for a wound to heal when a new medicine is being used
c. The number of televisions within a household
d. The distance first-year college women can kick a football
e. The number of pages per job coming from a computer printer
f. The kind of tree used as a Christmas tree

Key Concepts

Nominal Variable

A nominal variable is a type of categorical variable that labels or names categories without implying any order or ranking among them. Such variables are used to categorize data into distinct groups where the differences are qualitative rather than quantitative.

Ordinal Variable

An ordinal variable is a categorical variable where the categories have a specific order or ranking, but the intervals between the categories are not necessarily equal or known. This type of measurement is useful when data can be ranked but precise differences between ranks are not meaningful.

Discrete Variable

A discrete variable is typically a quantitative variable that can only take on specific, separate values, often counting numbers. The values of a discrete variable are distinct and finite or countably infinite, meaning they cannot be subdivided meaningfully between the values that they assume.

Continuous Variable

A continuous variable is a quantitative variable that can assume an infinite number of values within a given range. These variables are measured and can take any value within the limits, often representing measurements on a continuum where fractional or decimal values are possible.

Transcript

00:01 Before we begin, it's good to remind ourselves that nominal and ordinal refer to qualitative variables.

00:09 Well, discrete and continuous refer to quantitative.

00:12 Now, quantitative means they're naturally being measured or counted in some way.

00:17 This will help us to answer the problems.

00:20 Now, a says a poll of registered voters as to which candidate they support.

00:24 I notice that they're not being asked to rank the candidates, and obviously the candidates are not numbered.

00:30 So for this one, we are going to go with one for nominal.

00:35 Nominal means it's a qualitative measurement, and it is not ranked.

00:39 Again, if this was saying that they were ranking the candidates, i would actually say it's ordinal.

00:44 However, since they're only asking for one candidate's name, we're going to go with nominal.

00:49 B says the length of time.

00:51 Now, automatically, i know that can be measured, so we know it's going to be either discrete or continuous, because it's quantitative.

00:57 And it's the length of time required for a wound to heal.

01:00 When a new medicine is being used.

01:02 We have to ask ourselves, if i were to graph this on a number line, where we only have a few numbers selected, such as one minute, two minute, three minute, or there'd be an infinite number of possibilities.

01:13 Well, since it is time, we can continue breaking it down into smaller and smaller increments, making this one continuous.

01:20 See, the number of televisions within a household...

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