SPS SPS FM Statistics 2024 April — Question 1

Exam BoardSPS
ModuleSPS FM Statistics (SPS FM Statistics)
Year2024
SessionApril
TopicData representation
TypeCompare or interpret cumulative frequency graphs

1. 200 candidates took each of two examination papers. The diagram shows the cumulative frequency graphs for their marks.
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  1. State, with a reason, which of the two papers was the easier one.
  2. The minimum mark for grade A , the top grade, on Paper 1 was 10 marks lower than the minimum mark for grade A on Paper 2. Given that 25 candidates gained grade A in Paper 1, find the number of candidates who gained grade A in Paper 2.
  3. The mean and standard deviation of the marks on Paper 1 were 36.5 and 28.2 respectively. Later, a marking error was discovered and it was decided to add 1 mark to each of the 200 marks on Paper 1. State the mean and standard deviation of the new marks on Paper 1.
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