4 2. The partially completed table and partially completed histogram give information about the ages of passengers on an airline. There were no passengers aged 90 or over. Age (x years) 0 x < 5 5 x < 20 20 x < 40 40 x < 65 65 x < 80 80 x < 90 Frequency 5 45 90 1 10 20 30 40 50 60 70 80 90 x y 0 0 Frequency density Age (years) (a) Complete the histogram. (3) (b) Use linear interpolation to estimate the median age. (4) An outlier is defined as a value greater than Q3 + 1.5 × interquartile range. Given that Q1 = 27.3 and Q3 = 58.9 (c) determine, giving a reason, whether or not the oldest passenger could be considered as an outlier. (2)
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This question is part of the UK A-Level Mathematics syllabus. In the actual exam, structured questions typically require linking specific keywords to gain full marks. Applaa helps you drill these topics.
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