P6 Maths: Median, Mode And Mean (Paper 1 (basics))

P6 Maths: Median, Mode and Mean (Paper 1 (basics))

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 1 (basics))

Paper 1 (basics): 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 3, 7, 9, 11 and 15.
FoundationFind the mode of 4, 4, 6, 8, 8, 8 and 10.
FoundationFind the mean of 2, 5, 5, 6 and 12.
IntermediateFind the median of 8, 3, 6, 3, 9 and 4 after ordering the data.
IntermediateFind the mode of 1, 2, 2, 3, 3, 3 and 4.
IntermediateFind the median of 5, 6, 7, 8, 9, 10 and 11.
ChallengeFind the mean of 10, 20, 30, 40 and 50.
ChallengeA data set is 12, 15, 15 and 18; find the mode.
ChallengeFive numbers have a mean of 8; find their total.
Error redoError clinic: find the median of 5, 1, 4, 2 and 3; a student did not order the data and took 4. Find the correct answer.

03　Answers and one-line notes

#	Answer	One-line note
1	9	With five numbers in order, the middle third value is 9.
2	8	The value appearing most often is 8, three times.
3	6	The total 30 divided by 5 gives 6.
4	5	In order the data are 3, 3, 4, 6, 8 and 9, and the middle two, 4 and 6, average to 5.
5	3	3 appears three times, more than any other value.
6	8	There are seven values, so the median is the fourth, namely 8.
7	30	The total 150 divided by 5 gives 30.
8	15	Only 15 appears twice; the others appear once.
9	40	The total is the mean times the count, so 8 times 5 gives 40.
10	3	The data must first be ordered as 1, 2, 3, 4 and 5, so the median is 3.

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.