Leaving Cert Maths: Statistics

Data and inference: summary statistics, correlation, the normal distribution, sampling, confidence intervals and hypothesis testing.

49 past Maths questions on this topic, spanning 2015-2025. Each is listed under the year it appeared; open a year for the official exam paper and marking scheme PDFs.

2025 · 5 questions

Higher Paper 2 Q4 statistics, median, interquartile range, mean · 30 marks · marking scheme
Higher Paper 2 Q10 normal distribution, confidence intervals, hypothesis testing, expected value · 50 marks · marking scheme
Ordinary Paper 2 Q1 percentage change, mean and standard deviation, quartiles, interquartile range · 30 marks · marking scheme
Ordinary Paper 2 Q6 normal distribution, empirical rule, summary statistics · 30 marks · marking scheme
Ordinary Paper 2 Q8 pie charts, scatter plots, correlation, hypothesis testing, margin of error · 50 marks · marking scheme

2024 · 5 questions

Higher Paper 2 Q1 statistics, stem and leaf plot, correlation · 30 marks · marking scheme
Higher Paper 2 Q7 normal distribution, binomial distribution, conditional probability, hypothesis testing · 50 marks · marking scheme
Ordinary Paper 2 Q1 statistics, median, range, mean · 30 marks · marking scheme
Ordinary Paper 2 Q5 normal distribution, empirical rule, probability · 30 marks · marking scheme
Ordinary Paper 2 Q7 stem-and-leaf, standard deviation, correlation, hypothesis testing · 50 marks · marking scheme

2023 · 5 questions

Higher Paper 2 Q5 statistics, mean, standard deviation, correlation, counting · 30 marks · marking scheme
Higher Paper 2 Q8 normal distribution, confidence interval, hypothesis testing, tree diagram, conditional probability · 50 marks · marking scheme
Ordinary Paper 2 Q3 counting principles, permutations, correlation · 30 marks · marking scheme
Ordinary Paper 2 Q4 probability, independent events, mean from frequency table · 30 marks · marking scheme
Ordinary Paper 2 Q9 grouped frequency, median, histogram, margin of error, hypothesis testing · 50 marks · marking scheme

2022 · 8 questions

Higher Paper 2 Q5 statistics, confidence interval, hypothesis testing, proportion · 30 marks · marking scheme
Higher Paper 2 Q8 statistics, scatterplot, correlation, expected value, probability · 50 marks · marking scheme
Higher Paper 2 Q10 normal distribution, binomial distribution, probability, counting · 50 marks · marking scheme
Ordinary Paper 1 Q8 percentages, weighted average, percentage error, euler's polyhedral formula, algebraic manipulation · 50 marks · marking scheme
Ordinary Paper 2 Q3 statistics, mean median, counting principles · 30 marks · marking scheme
Ordinary Paper 2 Q4 pie charts, normal distribution, standard deviation, range · 30 marks · marking scheme
Ordinary Paper 2 Q7 stem-and-leaf plot, correlation, probability, factorial · 50 marks · marking scheme
Ordinary Paper 2 Q10 margin of error, hypothesis testing, expected value, linear inequalities · 50 marks · marking scheme

2021 · 3 questions

Higher Paper 2 Q8 normal distribution, hypothesis testing, probability, counting · 50 marks · marking scheme
Ordinary Paper 2 Q5 normal distribution, scatter plots, correlation · 30 marks · marking scheme
Ordinary Paper 2 Q7 histograms, mid-interval mean, hypothesis testing, margin of error · 50 marks · marking scheme

2020 · 3 questions

Higher Paper 2 Q8 normal distribution, confidence interval, hypothesis testing · 70 marks · marking scheme
Ordinary Paper 2 Q3 margin of error, confidence interval, hypothesis testing, normal distribution · 25 marks · marking scheme
Ordinary Paper 2 Q8 statistics, percentages, mean, pie chart · 55 marks · marking scheme

2019 · 5 questions

Higher Paper 1 Q6 surds, statistics, proof by contradiction · 25 marks · marking scheme
Higher Paper 2 Q8 confidence interval, normal distribution, hypothesis testing · 45 marks · marking scheme
Ordinary Paper 2 Q1 stem-and-leaf, probability, percentages · 25 marks · marking scheme
Ordinary Paper 2 Q7 statistics, mean, standard deviation, median · 50 marks · marking scheme
Ordinary Paper 2 Q8 volume, margin of error, confidence interval, hypothesis testing · 45 marks · marking scheme

2018 · 5 questions

Higher Paper 1 Q8 differentiation, points of inflection, normal distribution curve · 40 marks · marking scheme
Higher Paper 2 Q2 normal distribution, standardisation, empirical rule · 25 marks · marking scheme
Higher Paper 2 Q8 sampling distribution, confidence interval, calculus, geometric series · 60 marks · marking scheme
Ordinary Paper 2 Q7 statistics, mean, standard deviation, correlation · 60 marks · marking scheme
Ordinary Paper 2 Q9 volume of sphere, scientific notation, margin of error, hypothesis testing · 40 marks · marking scheme

2017 · 4 questions

Higher Paper 2 Q2 correlation, line of best fit, rates · 25 marks · marking scheme
Higher Paper 2 Q8 normal distribution, hypothesis testing, conditional probability · 60 marks · marking scheme
Ordinary Paper 2 Q5 normal distribution, empirical rule, probability · 25 marks · marking scheme
Ordinary Paper 2 Q9 percentages, statistics, margin of error, hypothesis testing · 55 marks · marking scheme

2016 · 3 questions

Higher Paper 2 Q9 normal distribution, hypothesis testing, confidence interval, margin of error · 50 marks · marking scheme
Ordinary Paper 2 Q5 stem-and-leaf, mode, median, mean · 25 marks · marking scheme
Ordinary Paper 2 Q8 pie chart, percentages, arithmetic · 50 marks · marking scheme

2015 · 3 questions

Higher Paper 2 Q2 statistics, confidence intervals, hypothesis testing · 25 marks · marking scheme
Ordinary Paper 2 Q6 correlation, scatter graphs, margin of error, confidence interval · 25 marks · marking scheme
Ordinary Paper 2 Q9 data types, mean, histograms, empirical rule · 70 marks · marking scheme

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