ATAR Maths Applications Unit 4
Investigation – Relationship between number of
subjects taken and number of hours studied
Introduction
The aim of this investigation is to examine the correlation between weekly study hours of students and
the number of ATAR subjects they take.
It is hypothesised that year 12 students who take a greater number of ATAR subjects are more likely
to have higher weekly study hours compared to students who take a smaller number of ATAR
subjects.
Method
Twenty year 12 general and ATAR students will be randomly selected across both genders. Random
sampling will be used in order to reduce selection bias. This means each sample has an equal
probability of being chosen, creating an unbiased representation of the given population.
1. Create a list divided into two groups; subjects taken, and hours studied.
2. Explain to each participant the purpose of the experiment and detail necessary information.
3. Ask participants the question, “How many ATAR subjects are you currently taking this year?”,
followed by, “How many hours a week do you spend studying?”. The question is worded in such a
way as to not introduce bias.
4. The participants will report back their answers. Write down results.
5. Collate results into tables, graphs, or other appropriate means.
Results
10 males and 10 females were surveyed. The results are as follows.
Raw data
1. 4 subjects, 20 hrs
2. 4 subjects, 22 hrs Gender Subjects Hours Gender Subjects Hours
3. 4 subjects, 14 hrs
4. 5 subjects, 22 hrs
5. 0 subjects, 5 hrs F 4 20 M 1 5
6. 0 subjects, 3 hrs F 4 22 M 1 4
7. 2 subjects, 6 hrs
8. 4 subjects, 10 hrs F 4 14 M 1 4
9. 5 subjects, 20 hrs
10. 0 subjects, 2 hrs F 5 22 M 1 8
11. 1 subject, 5 hrs F 0 5 M 5 20
12. 1 subject, 4 hrs
13. 1 subject, 4 hrs F 0 3 M 5 16
14. 1 subject, 8 hrs
15. 5 subjects, 20 hrs F 2 6 M 0 2
16. 5 subjects, 16 hrs F 4 10 M 0 0
17. 0 subjects, 2 hrs
18. 0 subjects, 0 hrs F 5 20 M 0 0
19. 0 subjects, 0 hrs
20. 1 subject, 12 hrs F 0 4 M 1 12
Investigation – Relationship between number of
subjects taken and number of hours studied
Introduction
The aim of this investigation is to examine the correlation between weekly study hours of students and
the number of ATAR subjects they take.
It is hypothesised that year 12 students who take a greater number of ATAR subjects are more likely
to have higher weekly study hours compared to students who take a smaller number of ATAR
subjects.
Method
Twenty year 12 general and ATAR students will be randomly selected across both genders. Random
sampling will be used in order to reduce selection bias. This means each sample has an equal
probability of being chosen, creating an unbiased representation of the given population.
1. Create a list divided into two groups; subjects taken, and hours studied.
2. Explain to each participant the purpose of the experiment and detail necessary information.
3. Ask participants the question, “How many ATAR subjects are you currently taking this year?”,
followed by, “How many hours a week do you spend studying?”. The question is worded in such a
way as to not introduce bias.
4. The participants will report back their answers. Write down results.
5. Collate results into tables, graphs, or other appropriate means.
Results
10 males and 10 females were surveyed. The results are as follows.
Raw data
1. 4 subjects, 20 hrs
2. 4 subjects, 22 hrs Gender Subjects Hours Gender Subjects Hours
3. 4 subjects, 14 hrs
4. 5 subjects, 22 hrs
5. 0 subjects, 5 hrs F 4 20 M 1 5
6. 0 subjects, 3 hrs F 4 22 M 1 4
7. 2 subjects, 6 hrs
8. 4 subjects, 10 hrs F 4 14 M 1 4
9. 5 subjects, 20 hrs
10. 0 subjects, 2 hrs F 5 22 M 1 8
11. 1 subject, 5 hrs F 0 5 M 5 20
12. 1 subject, 4 hrs
13. 1 subject, 4 hrs F 0 3 M 5 16
14. 1 subject, 8 hrs
15. 5 subjects, 20 hrs F 2 6 M 0 2
16. 5 subjects, 16 hrs F 4 10 M 0 0
17. 0 subjects, 2 hrs
18. 0 subjects, 0 hrs F 5 20 M 0 0
19. 0 subjects, 0 hrs
20. 1 subject, 12 hrs F 0 4 M 1 12
