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Subjects · Leaving Cert Maths

Leaving Cert Maths: Statistics

How often Statistics comes up on the Maths papers, every year it was asked, and questions to try.

HL Asked on 10 of the last 10 Higher Level papers, most recently in 2026. banker

OL Asked on 10 of the last 10 Ordinary Level papers, most recently in 2026. banker

FL Asked on 7 of the last 7 Foundation Level papers, most recently in 2026. banker

Statistics, Higher Level(6 marks)

Quick ones on Statistics.

(a)Mean of 2, 4, 6, 8?
  1. 4
  2. 5
  3. 20
(b)Normal distribution: roughly what % lies within 1 SD of the mean?
  1. 99.7%
  2. 95%
  3. 68%
(c)Median of 3, 9, 1, 7, 5?
  1. 5
  2. 7
  3. 1
Show the answers

(a) 5

(b) 68%

(c) 5

Your turn: Higher Level questions on Statistics.

Higher Level

Asked on 10 of the last 10 Higher Level papers, most recently in 2026. banker

Every paper, year by year

YearWhere it came up
2026Q1, Q2, Q8, Q10
2025Q4, Q10
2024Q1, Q7
2023Q5, Q8
2022Q5, Q8, Q10
2021Q8
2019Q8
2018Q2, Q8
2017Q2, Q8
2016Q9

Links open the State Examinations Commission’s paper for that year.

More Statistics questions

Statistics, 2 marks

In a normal distribution, about 95% of data lies within …

  1. 1 standard deviation of the mean
  2. 3 standard deviations of the mean
  3. 2 standard deviations of the mean
Show the answer

2 standard deviations of the mean

The empirical rule: about 68% within 1 SD, 95% within 2 SD and 99.7% within 3 SD of the mean.

Statistics, 2 marks

Standard normal: P(Z < 0) = ?

  1. 1
  2. 0.5
  3. 0
Show the answer

0.5

The standard normal curve is symmetric about 0, so exactly half the area is to the left of 0.

Statistics, 2 marks

A sample where every member has an equal chance of selection is a …

  1. simple random sample
  2. convenience sample
  3. quota sample
Show the answer

simple random sample

Every member has the same chance of being chosen, which helps avoid bias in the sample.

Ordinary Level

Asked on 10 of the last 10 Ordinary Level papers, most recently in 2026. banker

Every paper, year by year

YearWhere it came up
2026Q5, Q9
2025Q1, Q6, Q8
2024Q1, Q5, Q7
2023Q3, Q4, Q9
2022Q3, Q4, Q7, Q10
2021Q5, Q7
2019Q1, Q7, Q8
2018Q7, Q9
2017Q5, Q9
2016Q5, Q8

Links open the State Examinations Commission’s paper for that year.

More Statistics questions

Statistics, 2 marks

Find the mean of 4, 7, 9, 12.

  1. 7
  2. 32
  3. 8
Show the answer

8

Add them: 4 + 7 + 9 + 12 = 32. Divide by how many there are: 32 ÷ 4 = 8.

Statistics, 2 marks

Find the mode of 2, 3, 3, 5, 7.

  1. 5
  2. 3
  3. 4
Show the answer

3

The mode is the value that appears most often. 3 appears twice, the others once.

Statistics, 2 marks

Find the median of 4, 8, 2, 10, 6.

  1. 6
  2. 8
  3. 2
Show the answer

6

Put them in order first: 2, 4, 6, 8, 10. The middle value is 6.

Foundation Level

Asked on 7 of the last 7 Foundation Level papers, most recently in 2026. banker

Every paper, year by year

YearWhere it came up
2026Q2, Q3, Q7
2025Q1, Q9
2024Q2, Q4, Q5
2023Q1, Q5
2022Q1, Q9
2021Q1, Q11
2019Q10

Links open the State Examinations Commission’s paper for that year.

More Statistics questions

Statistics, 2 marks

Find the mode of 3, 5, 5, 7, 9.

  1. 9
  2. 7
  3. 5
Show the answer

5

The mode is the value that appears most often. 5 appears twice.

Statistics, 2 marks

Find the mean of 4, 6, 8, 10.

  1. 6
  2. 7
  3. 28
Show the answer

7

Add them: 4 + 6 + 8 + 10 = 28. Divide by how many there are: 28 ÷ 4 = 7.

Statistics, 2 marks

Find the range of 12, 3, 20, 8.

  1. 17
  2. 20
  3. 9
Show the answer

17

Range = biggest − smallest = 20 − 3 = 17.

Other Maths topics

All of Leaving Cert Maths