Question

an art teacher recorded whether the students in three of her classes prefer water color or oil painting. the art teacher plans to create a two-way table to analyze her results.

which variables can the art teacher use as the row and column headings of the table?

painting preference and total number of students
painting preference and number of students in class 1
class number and painting preference
class number and number who prefer oil

Explanation:

Identify the two categorical variables recorded

The art teacher records two categorical variables for each student:

1. Which of the three classes they are in (class number).
2. Their painting preference (watercolor or oil painting).

Determine row and column headings

A two-way table displays bivariate categorical data by using one categorical variable for the row headings and the other categorical variable for the column headings. Therefore, the headings must be "class number" and "painting preference".

Evaluate the given options

• Option 1: "painting preference and total number of students" — Incorrect, total number of students is a summary count, not a categorical variable.
• Option 2: "painting preference and number of students in class 1" — Incorrect, this is a specific count, not a variable.
• Option 3: "class number and painting preference" — Correct, these are the two categorical variables.
• Option 4: "class number and number who prefer oil" — Incorrect, the number who prefer oil is a count, not a variable.

Answer:

• painting preference and total number of students
• painting preference and number of students in class 1
• class number and painting preference (Correct answer)
• class number and number who prefer oil