22 DECODE VCE FURTHER MATHEMATICS Instructions Answer all questions in the spaces provided. You need not give numerical answers as decimals unless instructed to do so. Alterative forms may include, for example, n, surds or fractions. Unless otherwise indicated, the diagrams in this book are not drawn to scale. Question 1 (5 marks) The table below shows the average number of children per family for 17 countries. Country Average no. of TAM SWIHTSUM children Singapore 1.7 ens shall Canada 1.9 Liechtenstein 1.4 swans-mode Ireland 1.8 Italy 1.3 Australia 1.7 Netherlands 1.8 Germany 1.6 Ethiopia 4.1 Denmark 1.4 Switzerland 2.3 Spain 2.1 China 1.0 Kazakhstan 3.1 Tonga 2.9 Iceland 1.5 New Zealand 1.9 a. Write down the five-number summary for the the distribution of the numerical variable in the given table. Give the five values in increasing order. 1 mark Volume 3 Solutions Manual Scan QR code TM to open!23 DECODE VCE FURTHER MATHEMATICS b. Write down an appropriate calculation and use it to explain why the average number of children per family in Ethiopia, 4.1, is an outlier for this group of countries. 2 marks Write down an appropriate calculation and use it to explain why there are no other outliers. 2 marks Volume