VCE General Maths Data Analysis 2017 Mini Test 2

VCAA General Maths Exam 2

This is the full VCE General Maths Exam with worked solutions. You can also try Mini-Tests, which are official VCAA exams split into short tests you can do anytime.

Number of marks: 8

Reading time: 2 minutes

Writing time: 12 minutes

Instructions
• Answer all questions in the spaces provided.
• Write your responses in English.
• In all questions where a numerical answer is required, you should only round your answer when instructed to do so.
• Unless otherwise indicated, the diagrams in this book are not drawn to scale.


VCE Maths Topic Questions

Data analysis - 2017 - Exam 2 (Part 2)

Question 1 (8 marks) [2017 VCE Further Mathematics Exam 2 Core Q2]

The back-to-back stem plot below displays the wingspan, in millimetres, of 32 moths and their place of capture (forest or grassland).

Back-to-back stem plot of moth wingspans.

a. Which variable, wingspan or place of capture, is a categorical variable? 1 mark

b. Write down the modal wingspan, in millimetres, of the moths captured in the forest. 1 mark

c. Use the information in the back-to-back stem plot to complete the table below. 2 marks

Place of capture Wingspan (mm)
minimum \(Q_1\) median (M) \(Q_3\) maximum
forest 20 21 32 52
grassland 18 24 30 45

d. Show that the moth captured in the forest that had a wingspan of 52 mm is an outlier. 2 marks

e. The back-to-back stem plot suggests that wingspan is associated with place of capture.

Explain why, quoting the values of an appropriate statistic. 2 marks


End of Multiple-Choice Question Book

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