P6 Maths: Median, Mode And Mean (Paper 4 (error Clinic))

P6 Maths: Median, Mode and Mean (Paper 4 (error clinic))

2026-11-15

Tutor Prep Guide · Ordering for the median, averaging the middle two for an even count, modes and multiple modes, the mean and rebuilding totals, and how the three measures differ under extreme values

P6 Maths: Median, Mode and Mean (Paper 4 (error clinic))

Paper 4 (error clinic): ten questions on median, mode and mean, covering ordering for the median, identifying modes and computing means, with answers and one-line notes.

Direct answers　Level: P6 maths; format: median and ordering, mode and multiple modes, mean and rebuilding totals, comparing the three measures and the effect of extreme values.

01　Paper details (check answers afterwards)

Item	Detail
Questions	10
Suggested time	20
Difficulty mix	Foundation 3 · Intermediate 3 · Challenge 3 · Error redo 1
Chapter	Chapter: P6 Maths: Median, Mode and Mean
Level	P6

02　Questions (10 items)

FoundationFind the median of 7, 2, 9, 4 and 5 after ordering.
FoundationFind the mode of 6, 6, 8, 9, 9 and 9.
FoundationFind the mean of 3, 4, 5, 6 and 7.
IntermediateFind the median of 1, 4, 6 and 9.
IntermediateFive numbers have a mean of 9; find the total.
IntermediateFind the mode of 2, 3, 3, 3, 5, 7 and 7.
ChallengeThe data 4, 8 and 12 gain one more value 10; find the new median.
ChallengeFor the data 1, 2, 3, 4 and 5, find the mean minus the median.
ChallengeFor the data 4, 9, 9, 12 and 15, by how much does the mean exceed the median?
Error redoError clinic: find the median of 6, 2, 8, 4 and 10; a student did not order the data and answered 8. Find the correct answer.

03　Answers and one-line notes

#	Answer	One-line note
1	5	In order the data are 2, 4, 5, 7 and 9, so the middle value is 5.
2	9	9 appears three times, more than the two appearances of 6.
3	5	The total 25 divided by 5 gives 5.
4	5	The middle two, 4 and 6, average to 5.
5	45	9 times 5 gives 45.
6	3	3 appears three times, the highest frequency.
7	9	In order the data are 4, 8, 10 and 12, so the middle two, 8 and 10, average to 9.
8	0	The mean is 3 and the median is 3, so the difference is 0.
9	0.8	The mean is 49 over 5, which is 9.8, while the median is 9, a difference of 0.8.
10	6	In order the data are 2, 4, 6, 8 and 10, so the median is 6.

04　What to do after marking

After marking, redo only the wrong items and write down which step went wrong (formula, unit, or misread number).
Repeat the same item two days later; move to the next paper only when both attempts are correct.
Parents only need the answer and note columns; there is no need to explain every item.

Check the answers, and for any wrong item confirm the data were ordered before the median was taken.Tutor Registration →

Questions and answers are written originally by the TutorZone team and are not taken from any school, publisher or examination authority paper. Every value is checked by computer.