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Junior Cycle · Junior Cycle Maths

Junior Cycle Maths: Mean, median, mode & range

How often Mean, median, mode & range comes up on the Maths papers, every year it was asked, and questions to try.

HL Asked on 5 of the last 5 Higher Level papers, most recently in 2026. banker

OL Asked on 5 of the last 5 Ordinary Level papers, most recently in 2026. banker

Mean, median, mode & range, Higher Level(8 marks)

Quick ones on Mean, median, mode & range.

(a)Median of 7, 3, 9, 4, 12, 5?
  1. 6.5
  2. 6
  3. 6.7
(b)The mean of five numbers is 8. Four of them are 6, 7, 9 and 12. What is the fifth number?
  1. 8.5
  2. 8
  3. 6
(c)Class 0–10 has 3 values, 10–20 has 5 and 20–30 has 2. Estimate the mean using mid-interval values.
  1. 14
  2. 15
  3. 46.7
Show the answers

(a) 6

(b) 6

(c) 14

Your turn: Higher Level questions on Mean, median, mode & range.

Higher Level

Asked on 5 of the last 5 Higher Level papers, most recently in 2026. banker

Every paper, year by year

YearWhere it came up
2026Q2
2025Q4
2024Q2
2023Q4
2022Q2

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

More Mean, median, mode & range questions

Mean, median, mode & range, 2 marks

The values in a data set run from 5 to 30. A new value of 20 is added. What happens to the range?

  1. It increases by 20
  2. It decreases
  3. It stays the same
Show the answer

It stays the same

Range = max − min = 30 − 5 = 25. The new value 20 lies between 5 and 30, so the max and min, and the range, do not change.

Ordinary Level

Asked on 5 of the last 5 Ordinary Level papers, most recently in 2026. banker

Every paper, year by year

YearWhere it came up
2026Q3, Q7
2025Q1, Q6
2024Q8
2023Q8
2022Q6

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

More Mean, median, mode & range questions

Mean, median, mode & range, 2 marks

Find the mean of 3, 5, 6, 10, 11.

  1. 6
  2. 8
  3. 7
Show the answer

7

Mean = total ÷ how many values. 3 + 5 + 6 + 10 + 11 = 35, and 35 ÷ 5 = 7. (6 is the median, the middle value.)

Mean, median, mode & range, 2 marks

Find the median of 9, 2, 7, 4, 5.

  1. 5.4
  2. 5
  3. 7
Show the answer

5

Put the values in order first: 2, 4, 5, 7, 9. The middle one is 5. Taking the middle of the unsorted list gives the wrong 7.

Mean, median, mode & range, 2 marks

Find the mode of 2, 5, 5, 6, 8, 8, 8, 9.

  1. 8
  2. 5
  3. 3
Show the answer

8

The mode is the value that occurs most often. 8 appears three times, more than any other value. (3 is how often, not the mode.)

Other Maths topics

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