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Multivariate Data Investigation
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Multivariate Data Investigation
A student group wants to explore how weekly study time and sleep relate for students in Years 11 and 12. The data below are fictional and anonymised. Use evidence from the data, and remember that an association does not prove that one variable causes another.
Student code
Year level
Study (h/week)
Sleep (h/night)
A
11
2
8
B
11
4
7
C
11
5
7
D
11
7
6
E
12
3
8
F
12
6
7
G
12
8
6
H
12
10
5
Make sense of the investigation
Use the table as evidence. You may show calculations or explain your reasoning.
1.Write a statistical investigative question that could be explored using the measured variables in the dataset. Identify the population your question would ideally be about.
2.Which option is the strongest description of the data structure?
- There is one numerical variable measured repeatedly for one student.
- There are several variables recorded for each student, including numerical and categorical variables.
- The table proves that study time causes sleep duration to change.
- There are no variables that can be compared.
3.Calculate the mean study time for the eight students. Give your answer in hours per week.
4.Calculate the mean sleep duration for Year 11 and for Year 12. Compare the two means, and explain why this small comparison cannot establish that year level causes a difference.
2 printable pages
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