Question

A class survey Here is a small part of the data set that describes the students in an AP® Statistics class. The data come from anonymous responses to a questionnaire filled out on the first day of class.

(a) Identify the individuals in this data set.

(b) What are the variables? Classify each as categorical or quantitative.

Short answer

Part (a) 8 students that were chosen at random.

Part (b) Variables: Gender, Grade Level, GPA, Family Children, Last night's homework, Android or iPhone Gender, grade level, homework last night,

• Android or iPhone are categorical variables.
• GPA, and children in the family are examples of quantitative variables.

Step-by-step solution

Part (a) Step 1. Given information.

The given statement is:

A portion of the data collection that describes the students in an AP® Statistics class is provided in the question.

Part (a) Step 2. Recognize the individuals under this data set.

Individuals in the supplied data are eight students that are chosen at random from an AP Statistics class who participated in a class survey and anonymously completed the questionnaire.

Part (b) Step 1. Identify the variables and classify each.

The issues under investigation are included in the variables. The variables in this instance are the column titles of the given table.

Gender, Grade level, GPA, Family with children, Last night's homework, Android or iPhone.

Individuals are placed into categories by categorical/qualitative factors, whilst quantitative variables are numerical variables.

Gender: Categorical, as there is male (M) and female (F) categories.

Grade Level: Categorical, meaning we may list all potential grade levels and then divide them into categories.

GPA: Because GPAs take numerical values and it is impossible to list all conceivable GPAs, GPAs are classified as quantitative.

Children in the family: Quantitative, because the number of children in a family has numerical values, and it is impossible to enumerate every potential number of children in a family.

Last night's homework: Because the different categories are 0-14, 15-29, 30-44, and 45-59, we call them categorical ( and possibly more categories up to 4 or 5 hours )

iPhone or Android?: Because the categories are Android and iPhone, it's categorical.