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

Explanation:

A two - way table is used to show the relationship between two categorical variables. Here, the art teacher has three classes (so class number is a categorical variable) and two painting preferences (water color or oil painting, so painting preference is a categorical variable).

• Option 1: "total number of students" is a numerical summary, not a variable for row/column in a two - way table for this analysis.
• Option 2: "number of students in class 1" is a specific numerical value for one class, not a variable suitable for a two - way table across three classes.
• Option 3: "class number" (categorical, three classes) and "painting preference" (categorical, two preferences) are the two variables that can be used as row and column headings to show how many students in each class prefer each type of painting.
• Option 4: "number who prefer oil" is a numerical summary of a subset of the data, not a variable for the two - way table structure.

Answer:

C. class number and painting preference