VCE General Maths Data Analysis 2016 Mini Test 1

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: 5

Reading time: 1 minute

Writing time: 7 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.


Data analysis - 2016 - Exam 2 (Part 1)

Question 1 (5 marks) [2016 VCE Further Mathematics Exam 2 Q2]

The weather station also records daily maximum temperatures.

a. The five-number summary for the distribution of maximum temperatures for the month of February is displayed in the table below.

Temperature (°C)
Minimum 16
\(Q_1\) 21
Median 25
\(Q_3\) 31
Maximum 38

There are no outliers in this distribution.

i. Use the five-number summary above to construct a boxplot on the grid below. 1 mark

Grid for boxplot

ii. What percentage of days had a maximum temperature of 21°C, or greater, in this particular February? 1 mark

b. The boxplots below display the distribution of maximum daily temperature for the months of May and July.

Boxplots for May and July temperature

i. Describe the shapes of the distributions of daily temperature (including outliers) for July and for May. 1 mark

July

May

ii. Determine the value of the upper fence for the July boxplot. 1 mark

iii. Using the information from the boxplots, explain why the maximum daily temperature is associated with the month of the year. Quote the values of appropriate statistics in your response. 1 mark


End of Multiple-Choice Question Book

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