Question 2.5 part b. Pat of Pat’s Cars asked 200 customers their colour preference when purchasing a new car. The following summary table gives the results. b. What colours of cars should Pat have on show?

*Question 2.6 part b and c: The following table gives the labour force status of the Australian civilian population aged 15 years and over in November 2013.b. Which graphical method do you think best portrays these data?c. What conclusions can you draw about participation rate –that is, the percentage of the population in the labour force?Answer of part a: Bar chart 0100020003000400050006000700080009000Employed full-timeEmployed Part-timeNot in labour forceUnemployed not looking for full-time workUnemployed looking for full-time workNumber thousandsAustralia Labour Force Status (Aged 15 years & Over) November 2013Employed full-time42%Employed Part-time18%Not in labour force36%Unemployed not looking for full-time work1%Unemployed looking for full-time work3%Australian Labour Force Status (aged 15 years and over) November 2013

3 Question 2.16: The cumulative percentage polygon below shows the amount spent in $ by 200 customers at a local supermarket.a. Approximately what percentage of customers spent less than $100? b. Approximately how many customers spent at least $60? c. Approximately how much did the top 10% of customers spend? d. Approximately what was the maximum that the bottom 10% of customers spent? *Question 2.53 parts (a) to (e) Interpretation of the tables and graphs: On the same day in December 2013, the researcher in problem 2.18 also obtained the prices per litre of unleaded petrol and diesel from a random sample of 35 towns in Queensland. This set of data is in the data file < FUEL_2013 > with the New South Wales data. a. What can you conclude about the variation in the fuel prices in Queensland when the data were collected? b. What conclusions can you draw about this relationship? c. Using an appropriate graph, investigate the relationship between petrol and diesel prices in New South Wales. What conclusions can you draw about this relationship?