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Paper 3 · Statistics2.4 Data presentation and interpretation

Question 1 · 4 marks

  • Calculator allowed
Spec and skills
  • Paper scope: Paper 3 Statistics
  • Spec S2.4
  • Spec S2.1
  • Original practice question
For a sample of daily total sunshine (hours) at a UK station from May to October, the lower quartile is 2.8 hours, the median is 6.1 hours and the upper quartile is 9.4 hours. The longest day of sunshine recorded was 14.2 hours and the shortest was 0 hours. An outlier is defined as a value more than 1.5×1.5 \times the interquartile range above the upper quartile or below the lower quartile.
(a)
Calculate the limits beyond which a value is an outlier.
2 marks
(,)