2026 EVG P2 Q8

Six hundred candidates took an examination which consisted of two papers. Each paper was marked out of 100. The diagram shows, on the same grid, the cumulative frequency for Paper 1 and Paper 2.

1. Use the cumulative frequency curve for Paper 1 to find an estimate of
   1. the median,[1]
   2. the interquartile range.[2]
2. Two candidates are chosen at random. Use the diagram to estimate the probability that one candidate scored more than 40 marks in Paper 1 and another candidate scored 30 marks or less in Paper 2.[2]
3. 1. Use the cumulative frequency diagram to complete the grouped frequency table of the marks scored in Paper 2.[1]

      Marks (x)	\(0\leq x<30\)	\(30\leq x<60\)	\(60\leq x<90\)	\(90\leq x<100\)
      No. of candidates	90	280		30

   2. Find the interval that contains the median mark.[1]
4. A candidate scored 60 on Paper 1. Using both graphs, estimate this candidate’s mark on Paper 2.[1]
5. For each statement, write whether you agree or disagree and give a mathematical reason.[3]

   Statement	Agree/Disagree	Mathematical reason
   Paper 1 is easier than Paper 2.
   The marks for Paper 1 show less variation than Paper 2.
   The range of marks for Paper 2 is 100.