Year 6 Mean, Median, Mode and Range Worksheet — Level 2 — Practice Set 3 — Answers
Answer sheet with worked solutions for the Year 6 mean, median, mode & range worksheet.
Year 6 Mean, Median, Mode and Range Worksheet — Level 2 — Practice Set 3 — Answers
Order the data first. Show your working for each measure.
1.Data: 20, 19, 2, 6, 2, 5, 2. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 8; median 5; mode 2; range 18
- Mean: 56 ÷ 7 = 8
- Ordered: 2, 2, 2, 5, 6, 19, 20 → median 5
- Mode: 2
- Range: 20 − 2 = 18
2.Data: 17, 11, 13, 8, 3, 20. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 12; median 12; mode no mode; range 17
- Mean: 72 ÷ 6 = 12
- Ordered: 3, 8, 11, 13, 17, 20 → median 12
- Mode: no mode
- Range: 20 − 3 = 17
3.Data: 10, 2, 15, 3, 1, 16, 2. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 7; median 3; mode 2; range 15
- Mean: 49 ÷ 7 = 7
- Ordered: 1, 2, 2, 3, 10, 15, 16 → median 3
- Mode: 2
- Range: 16 − 1 = 15
4.Data: 12, 5, 3, 11, 11, 10, 14, 14. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 10; median 11; mode 11 and 14; range 11
- Mean: 80 ÷ 8 = 10
- Ordered: 3, 5, 10, 11, 11, 12, 14, 14 → median 11
- Mode: 11 and 14
- Range: 14 − 3 = 11
5.Data: 16, 13, 5, 7, 16, 9, 4. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 10; median 9; mode 16; range 12
- Mean: 70 ÷ 7 = 10
- Ordered: 4, 5, 7, 9, 13, 16, 16 → median 9
- Mode: 16
- Range: 16 − 4 = 12
6.Data: 7, 11, 3, 8, 14, 19, 15. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 11; median 11; mode no mode; range 16
- Mean: 77 ÷ 7 = 11
- Ordered: 3, 7, 8, 11, 14, 15, 19 → median 11
- Mode: no mode
- Range: 19 − 3 = 16
7.Data: 4, 13, 5, 1, 19, 4, 17. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 9; median 5; mode 4; range 18
- Mean: 63 ÷ 7 = 9
- Ordered: 1, 4, 4, 5, 13, 17, 19 → median 5
- Mode: 4
- Range: 19 − 1 = 18
8.Data: 4, 16, 2, 14, 9, 4, 8, 15. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 9; median 8.5; mode 4; range 14
- Mean: 72 ÷ 8 = 9
- Ordered: 2, 4, 4, 8, 9, 14, 15, 16 → median 8.5
- Mode: 4
- Range: 16 − 2 = 14
Marking tips
- Give credit for correct method even when the final answer slips — the working shows where the thinking went right.
- For open-ended tasks, use the success criteria as a checklist rather than looking for one "right" answer.
- Celebrate what went well first, then pick one thing to work on next.