93 A survey was conducted of 130 purchasers of new black sports cars 130 purchasers of new red sports cars and 130 purchasers of new white sports cars In it people were asked the age they were when they purchased their car The following box plots display the results 25 Black sports cars Red sports cars White sports cars 30 Figure 2 48 35 40 45 i 31 35 ii 38 41 iii 41 64 50 55 60 65 70 75 80 a In complete sentences describe what the shape of each box plot implies about the distribution of the data collected for that car series b Which group is most likely to have an outlier Explain how you determined that c Compare the three box plots What do they imply about the age of purchasing a sports car from the series when compared to each other d Look at the red sports cars Which quarter has the smallest spread of data What is the spread e Look at the red sports cars Which quarter has the largest spread of data What is the spread f Look at the red sports cars Estimate the interquartile range IQR g Look at the red sports cars Are there more data in the interval 31 38 or in the interval 45 55 How do you know this h Look at the red sports cars Which interval has the fewest data in it How do you know this 94 Twenty five randomly selected students were asked the number of movies they watched the previous week The results are as follows