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In a research study examining the factors affecting students' academic performance, which of the following statements accurately describes the role of variables, observations, and the data set? a. Observations represent the data collected, variables are the characteristics of the students, and the data set is the statistical analysis performed on the variables. b. The data set is the students' characteristics, variables are the values of academic performance, and observations are the students' academic scores. c. Variables are the data collected, observations are the specific values of the variables for each student, and the data set is the entire collection of students' information. d. The data set consists of the students' academic performance scores, variables represent the students themselves, and observations are the characteristics of the students.

Question

In a research study examining the factors affecting students' academic performance, which of the following statements accurately describes the role of variables, observations, and the data set?

a. Observations represent the data collected, variables are the characteristics of the students, and the data set is the statistical analysis performed on the variables.

b. The data set is the students' characteristics, variables are the values of academic performance, and observations are the students' academic scores.

c. Variables are the data collected, observations are the specific values of the variables for each student, and the data set is the entire collection of students' information.

d. The data set consists of the students' academic performance scores, variables represent the students themselves, and observations are the characteristics of the students.

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Solution

The correct answer is c. Variables are the data collected, observations are the specific values of the variables for each student, and the data set is the entire collection of students' information.

In a research study, variables are the different aspects that you are studying. In this case, the variables could be anything that might affect a student's academic performance, such as study habits, attendance, parental involvement, etc.

Observations, on the other hand, are the specific values or characteristics that those variables have for each individual student. For example, one student might study for two hours a day (an observation) for the variable of study habits.

The data set is the entire collection of information you have for all students. It includes all the variables and their observations for each student.

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