7The dot plot on the right shows the shoe sizes of a sample of Year 11 students.aFor this data, find:ithe meaniithe medianiiithe mode.bIf the outlier is removed, state what will happen to:789101112Shoe size
cA shoe store needs to buy more shoes for a back-to-school sale. Which measure of location is the most appropriate for the store to use in this situation?8The numbers of accidents per month in a motor vehicle factory over a year were:300121600210aFor this data, find:
bIf the workplace union representatives wanted to complain about the lack of safety at the factory, which statistic would they choose?
If the factory managers wanted to claim that there were very few accidents at the factory, which statistic would they choose?
A safety researcher chose the median as the average. Why did he do this?9The heights, in centimetres, of a team of basketball players are:204 195 184 189 193 178 aFor this data, find:ithe mean, correct to one decimal place iithe median.bThe 184 cm player is replaced by a 200 cm player. Describe how this will affect:199
10The stem-and-leaf plot on the right shows the maximum daily temperatures (in °C) in Port Macquarie for the last two weeks in December.Source: Bureau of MeteorologyaFor this data, find: Leaf232 4 4 5 6 6 7 7 1
bWhich measure of location is the most appropriate for describing the average maximum daily temperature?6789101112Shoe sizeStemLeaf232 4 4 5 6 6 7 7 1 7 8 8 94