Answer :
Final answer:
A. Continuous B. Ordinal C. Categorical D. Dichotomous a variable can be continuous, ordinal, categorical, or dichotomous, depending on what it measures. Continuous variables are numeric and have infinite possibilities, ordinal variables rank order data items, categorical variables group data into categories, and dichotomous variables divide data into two distinct groups.
Explanation:
Understanding the type of each variable is a fundamental concept in statistics. A variable, usually noted by capital letters such as X or Y, represents a characteristic or measurement that can be identified for each member of a population. For example, if X represents the number of points earned by one math student at the end of a term, then X is a numerical variable. On the other hand, if Y represents a person's party affiliation, then Y is a categorical variable.
Here are the types of variables in question:
- Continuous variables are numeric variables that have an infinite number of values between any two values. They're obtained via precise measurement, for example, weight in kilograms, or time in hours.
- Ordinal variables are qualitative variables that can be ranked. For instance, grade level in school, or classification of a movie (G, PG, PG-13, R).
- Categorical variables are usually non-numerical and are used to label a group or set of items, like eye color (blue, brown, green) or type of pet (cat, dog, bird).
- Dichotomous variables are a special type of categorical variable that are either true or false, or represent presence or absence of some feature (e.g., pass/fail, did buy/did not buy).
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