P6 Maths: Median, Mode And Mean (Paper 2 (intermediate))

P6 Maths: Median, Mode and Mean (Paper 2 (intermediate))

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 2 (intermediate))

Paper 2 (intermediate): 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, 10, 12, 15 and 20.
FoundationFind the mode of 5, 7, 7, 9, 11, 11, 11 and 13.
FoundationFind the mean of 12, 14, 16, 18 and 20.
IntermediateA data set of 4, 8, 10 and 14 gains one more value, 12; find the new median.
IntermediateHow many modes does the data set 2, 2, 5, 7, 7, 9 have?
IntermediateFind the median of 60, 70, 70, 80, 90, 90, 90 and 100.
ChallengeFive numbers have a mean of 30; find their total.
ChallengeEight numbers have a mean of 14 and seven of them add to 95; find the remaining number.
ChallengeFor the data 5, 6, 7, 8 and 20, by how much does the mean exceed the median?
Error redoError clinic: find the median of the ten integers from 1 to 10; a student answered 5 by taking only the fifth value. Find the correct answer.

03　Answers and one-line notes

#	Answer	One-line note
1	11	With six values the middle two are 10 and 12, which average to 11.
2	11	11 appears three times, the highest frequency.
3	16	The total 80 divided by 5 gives 16.
4	10	In order the data are 4, 8, 10, 12 and 14, so the middle value is 10.
5	2	Both 2 and 7 appear twice, so both are modes.
6	85	The middle two values are 80 and 90, which average to 85.
7	150	30 times 5 gives 150.
8	17	The total 112 minus 95 leaves 17.
9	2.2	The mean is 46 over 5, which is 9.2, while the median is 7, a difference of 2.2.
10	5.5	For ten values the fifth and sixth, 5 and 6, are averaged to give 5.5.

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.