Note that:
The control variable is the variable that does not change (that is, constant ) in an experiment. It does not take part in the experiment
The response variable is the dependent variable that determines the outcome of the experiment.
The treatment of an experiment is the independent variable, and it determines the outcome of the experiment.
From the illustration given in this exercise, the control variable, the response variable, and the treatments are identified below with reasons.
1) The control variable = The mathematical abilities of the students
Reason: The students chosen for the experiment must have the same mathematical abilities to prevent bias in the results of the experiment.
2) The response variable = Math test scores
Reason: The maths test scores of the two groups of students are the outcomes of the experiment, hence the response variable.
3) The treatment for the experiment = Wearing of school uniforms
Reason: Wearing of school uniforms is the treatment that the two groups of students were subjected to in order to confirm if their will be any effects on their Maths test scores.