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Chapter 2: Problem 1

Classify each of the following variables as either categorical or numerical. For those that are numerical, determine whether they are discrete or continuous. a. Number of students in a class of 35 who turn in a term paper before the due date b. Gender of the next baby born at a particular hospital c. Amount of fluid (in ounces) dispensed by a machine used to fill bottles with soda pop d. Thickness (in \(\mathrm{mm}\) ) of the gelatin coating of a vitamin \(\mathrm{E}\) capsule e. Birth order classification (only child, firstborn, middle child, lastborn) of a math major

Short Answer

Expert verified
a is a discrete numerical variable, b is a categorical variable, c is a continuous numerical variable, d is a continuous numerical variable, e is a categorical variable.

Step by step solution

01

Identifying Variable a

For variable a, the number of students in a class of 35 who turn in a term paper before the due date, this is a numerical variable because it can be counted. Moreover, it is discrete because it can only take on certain values. The number of students cannot be a fraction or a decimal.
02

Identifying Variable b

For variable b, the gender of the next baby born at a particular hospital, this is a categorical variable. Gender is not a number but rather a category, which in this case includes male and female.
03

Identifying Variable c

For variable c, the amount of fluid (in ounces) dispensed by a machine used to fill bottles with soda pop, this is a numerical and continuous variable. It can take on any value within a certain range, and it could be measured to a very precise degree. Although the machine probably dispenses a particular set amount each time, it is theoretically possible for it to dispense any amount.
04

Identifying Variable d

For variable d, the thickness (in mm) of the gelatin coating of a vitamin E capsule, this is a numerical and continuous variable. The thickness can take on any value within a certain range, and it could be measured extremely precisely.
05

Identifying Variable e

Variable e, the birth order classification (only child, firstborn, middle child, lastborn) of a math major, is a categorical variable. Birth order classification falls into distinct groups or categories, not numbers.

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