discrete variable, types of data4. Researchers are concerned that the weight of the average American school child is increasingimplying, among other things, that children’s clothing should be manufactured and marketed inlarger sizes. If X is the weight of school children sampled in a nationwide study, then X is anexample of. a) a categorical variable.. b) a discrete variable.. c) a continuous variable.. d) a table of random numbers.
The correct answer is b) a discrete variable
The correct answer is b) a discrete variable.
A discrete variable is a type of variable that can only take on specific values or whole numbers within a certain range. In this case, the weight of the average American school child can be measured, but it cannot take on any value within a continuous range. Rather, it can only be measured in specific units, such as pounds or kilograms.
In contrast, a continuous variable can take on any value within a continuous range. For example, if we were measuring the height of school children, it could take on any value between the smallest and largest possible heights.
A categorical variable, on the other hand, represents data that falls into categories or groups. Examples of categorical variables could be the color of a shirt (e.g., red, blue, yellow) or the grade level of a student (e.g., 1st grade, 2nd grade, 3rd grade).
Lastly, a table of random numbers is a tool used in statistics for generating random numbers, but it is not a type of variable.
Thus, in the given scenario, X (the weight of school children) is a discrete variable since it can only take on specific values within a certain range.
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