SCSA Mathematics Applications Bivariate data analysis

5 sample questions with marking guides and sample answers · Avg. score: 54.2%

Q14
2020
QCAA
Paper 1
1 mark
Q14
1 mark

A sample of university staff and students was asked whether they preferred catching public transport or driving their own car to university. The data collected is shown in the table.

 Public transportDrive own car
Staff218
Students4812

What percentage of university students prefer to drive their own car?

A

12%

B

15%

C

20%

D

40%

Q4
2023
QCAA
Paper 1
1 mark
Q4
1 mark

Athletes were surveyed about their preferred shoe brand: X, Y or Z. The results are shown in the frequency table.

 XYZTotal
Field athletes2612240
Track athletes1418840
Total40301080

The percentage of field athletes who prefer brand Y is

A

12%

B

15%

C

30%

D

40%

Q1
2024
QCAA
Paper 2
5 marks
Q1
5 marks

Each of the 60 performers in a music and dance concert is either a Year 11 or Year 12 student and either a musician or a dancer.

There are four more Year 11 students than Year 12 students. One quarter of the Year 11 students are dancers and half of the Year 12 students are dancers.

Complete the two-way frequency table to calculate the percentage of students who are musicians.

 Year 11Year 12Total
Musician   
Dancer   
Total  60
Q19
2020
QCAA
Paper 1
4 marks
Q19

Data was collected relating the number of hours spent fishing and the total number of fish caught.
The linear model for this data was found to be y=2.3x+31.4y = 2.3x + 31.4, where xx is the number of hours spent fishing, and yy is the total number of fish caught.

Q19a
1 mark

Use the model to predict the number of fish caught if 12 hours were spent fishing.

Q19b
3 marks

The correlation coefficient for this data is 0.688 and the coefficient of determination is 0.473. Use each of these to describe the strength of the linear association between the two variables and decide if your prediction is valid.

Q22
2020
QCAA
Paper 1
4 marks
Q22

A store asked its junior and senior staff whether or not they would like to change the store uniform.
The results are in the frequency table.

 Change uniformDo not change uniform
Junior staff9228
Senior staff2367
Q22a
2 marks

Convert the two-way table into a percentaged two-way frequency table using column totals.

Q22b
2 marks

Explain whether there is an association between staff groups and a desire to change the store uniform.

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