AS LEVEL FURTHER MATHEMATICS: Actual May 2025 PAST Further Statistics 2:
Further Statistics 2. All Assessment Questions & Mark Scheme [Edexcel 8FM0/24]
Exam Summary
The AS Level Further Mathematics Paper 24: Further Statistics 2 (Edexcel 8FM0/24,
Option G) examines advanced concepts in statistics, including continuous random variables,
probability density and cumulative distribution functions, hypothesis testing, correlation
and regression analysis, residuals, and comparison of random variables. Students are
expected to apply statistical models to interpret data, justify conclusions using hypothesis tests,
and demonstrate accuracy in analytical reasoning. The paper emphasizes both theoretical
understanding and practical application of statistical techniques. Mastering these topics is
essential for effective preparation for the 2026 exams, as they build the foundation for
higher-level statistical reasoning, data interpretation, and modeling required in future Further
Mathematics assessments.
Turn over
,1. In a singing competition, two judges ranked the vocal quality of each of 8 singers.
The singers are labelled A to H and the table below shows the ranks given by
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each judge.
Rank 1 2 3 4 5 6 7 8
Judge 1 C B A G E F H D
Judge 2 B A C G D E F H
(a) Calculate the Spearman’s rank correlation coefficient between the judges’ ranks.
(4)
Each judge also gave a mark out of 20 for each singer’s vocal range.
Singer A B C D E F G H
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Judge 1 18 13 16 12 11 7 13 6
Judge 2 15 17 14 14 9 8 12 8
(b) Without carrying out any further calculations, explain how the Spearman’s
rank correlation coefficient between the judges’ marks for vocal range should
be calculated.
(2)
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2
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, Question 1 continued
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(Total for Question 1 is 6 marks)
3
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Further Statistics 2. All Assessment Questions & Mark Scheme [Edexcel 8FM0/24]
Exam Summary
The AS Level Further Mathematics Paper 24: Further Statistics 2 (Edexcel 8FM0/24,
Option G) examines advanced concepts in statistics, including continuous random variables,
probability density and cumulative distribution functions, hypothesis testing, correlation
and regression analysis, residuals, and comparison of random variables. Students are
expected to apply statistical models to interpret data, justify conclusions using hypothesis tests,
and demonstrate accuracy in analytical reasoning. The paper emphasizes both theoretical
understanding and practical application of statistical techniques. Mastering these topics is
essential for effective preparation for the 2026 exams, as they build the foundation for
higher-level statistical reasoning, data interpretation, and modeling required in future Further
Mathematics assessments.
Turn over
,1. In a singing competition, two judges ranked the vocal quality of each of 8 singers.
The singers are labelled A to H and the table below shows the ranks given by
DO NOT WRITE IN THIS AREA
each judge.
Rank 1 2 3 4 5 6 7 8
Judge 1 C B A G E F H D
Judge 2 B A C G D E F H
(a) Calculate the Spearman’s rank correlation coefficient between the judges’ ranks.
(4)
Each judge also gave a mark out of 20 for each singer’s vocal range.
Singer A B C D E F G H
DO NOT WRITE IN THIS AREA
Judge 1 18 13 16 12 11 7 13 6
Judge 2 15 17 14 14 9 8 12 8
(b) Without carrying out any further calculations, explain how the Spearman’s
rank correlation coefficient between the judges’ marks for vocal range should
be calculated.
(2)
DO NOT WRITE IN THIS AREA
2
■■■■
, Question 1 continued
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DO NOT WRITE IN THIS AREA
DO NOT WRITE IN THIS AREA
(Total for Question 1 is 6 marks)
3
■■■■ Turn over
