Question

mr. hanai recorded the outfit choices of the students for picture day from two periods. which describes the variables in the two - way table?

outfits for school pictures

	pants	skirt	total
4^th period	23	35	58
total	54	58	112

\\(\circ\\) type of outfit and total students
\\(\circ\\) type of outfit and total students in third period
\\(\circ\\) period number and type of outfit
\\(\circ\\) period number and total students who wore pants

Explanation:

To determine the variables in the two - way table, we analyze the rows and columns. The rows represent different periods (3rd Period and 4th Period), and the columns represent different types of outfits (Pants and Skirt).

• Option 1: "type of outfit and total students" is incorrect because "total students" is a summary statistic, not a variable that is being categorized in the table. The table is about the distribution of outfit types across different periods, not about total students as a variable.
• Option 2: "type of outfit and total students in third period" is incorrect. The table is not focused on the total students in the third period as a variable. It is comparing outfit types across two periods (3rd and 4th), not just related to the total in the third period.
• Option 3: "period number and type of outfit" is correct. The rows are the period numbers (3rd and 4th) and the columns are the type of outfit (Pants and Skirt). This represents the two variables that are being used to create the two - way table.
• Option 4: "period number and total students who wore pants" is incorrect. "Total students who wore pants" is a summary statistic, not a variable. The table is about how many students in each period wore each type of outfit, not about the total number of students who wore pants as a variable.

Answer:

C. period number and type of outfit (assuming the options are labeled A, B, C, D with C being "period number and type of outfit")