J A KE Heading 1 17. [Maximum mark: 16] The London National Theatre is presenting the famous Shakespearean plan Hamlet. Matthew is interested in the age range of the audience attendees and collects data by standing at the entrance and sampling every fifth audience member as they enter the theatre. Using this data, he constructs a box-and-whisker diagram to represent the data, as shown below. 10 20 30 40 50 60 age of audience attendee (a) State the sampling method Matthew used in his study. (b) Write down the median age of the sample. (c) Calculate the interquartile range. [2] The youngest audience member sampled, Rosie, is just 15 years old. Matthew believes that Rosie is an outlier and is considering excluding her from the sample data set. (d) Determine if Matthew is correct. Give a reason to your answer. [2] When asking their ages, Matthew also asks how many other Shakespearean plays they have watched in their lifetime (y). The following scatter diagram shows this data, paired with their age (I). 8 8 20 Shakespearean plays seen 10 20 30 40 50 60 age of audience attendee (e) Describe the correlation between the two variables. [1]