Question

the table shows the results of a survey.

$$\
LATEXBLOCK0
$$

what type of data is shown in the table? identify the variable(s).

• categorical univariate; the variable is food preference
• categorical bivariate; the variables are grade level and food preference
• numerical univariate; the variable is food preference
• numerical bivariate; the variables are grade level and food preference

Explanation:

Identify the data type

Using the Categorical Data and Bivariate Data knowledge points

• The data records two distinct qualitative characteristics for each survey respondent: their grade level (11th or 12th grade) and their food preference (Hamburgers or Hot Dogs).
• Since both characteristics describe qualitative categories rather than numerical measurements, the data is categorical.
• Because two variables are measured simultaneously for each individual to study their relationship, the data is bivariate.

Identify the variables

Using the Statistical Variables knowledge point

• The two variables being recorded and compared in this two-way table are:

1. Grade level (with categories: 11th graders, 12th graders)
2. Food preference (with categories: Hamburgers, Hot Dogs)

• Therefore, the correct option is the one identifying the data as categorical bivariate with variables grade level and food preference.

Answer:

• (A) Categorical univariate; the variable is food preference
• (B) Categorical bivariate; the variables are grade level and food preference (Correct answer)
• (C) Numerical univariate; the variable is food preference
• (D) Numerical bivariate; the variables are grade level and food preference