Year 6 Mean, Median, Mode and Range Worksheet — Level 2 — Practice Set 4 — 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 4 — Answers
Order the data first. Show your working for each measure.
1.Data: 11, 7, 10, 1, 9, 4. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 7; median 8; mode no mode; range 10
- Mean: 42 ÷ 6 = 7
- Ordered: 1, 4, 7, 9, 10, 11 → median 8
- Mode: no mode
- Range: 11 − 1 = 10
2.Data: 13, 7, 16, 4, 14, 18, 17, 15. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 13; median 14.5; mode no mode; range 14
- Mean: 104 ÷ 8 = 13
- Ordered: 4, 7, 13, 14, 15, 16, 17, 18 → median 14.5
- Mode: no mode
- Range: 18 − 4 = 14
3.Data: 20, 16, 9, 9, 18, 12. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 14; median 14; mode 9; range 11
- Mean: 84 ÷ 6 = 14
- Ordered: 9, 9, 12, 16, 18, 20 → median 14
- Mode: 9
- Range: 20 − 9 = 11
4.Data: 17, 18, 12, 7, 16, 13, 6, 15. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 13; median 14; mode no mode; range 12
- Mean: 104 ÷ 8 = 13
- Ordered: 6, 7, 12, 13, 15, 16, 17, 18 → median 14
- Mode: no mode
- Range: 18 − 6 = 12
5.Data: 12, 9, 20, 18, 3, 6, 3, 9. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 10; median 9; mode 3 and 9; range 17
- Mean: 80 ÷ 8 = 10
- Ordered: 3, 3, 6, 9, 9, 12, 18, 20 → median 9
- Mode: 3 and 9
- Range: 20 − 3 = 17
6.Data: 2, 17, 13, 20, 6, 6, 6. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 10; median 6; mode 6; range 18
- Mean: 70 ÷ 7 = 10
- Ordered: 2, 6, 6, 6, 13, 17, 20 → median 6
- Mode: 6
- Range: 20 − 2 = 18
7.Data: 9, 10, 5, 17, 2, 1, 9, 3. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 7; median 7; mode 9; range 16
- Mean: 56 ÷ 8 = 7
- Ordered: 1, 2, 3, 5, 9, 9, 10, 17 → median 7
- Mode: 9
- Range: 17 − 1 = 16
8.Data: 6, 13, 5, 13, 11, 18, 11. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 11; median 11; mode 11 and 13; range 13
- Mean: 77 ÷ 7 = 11
- Ordered: 5, 6, 11, 11, 13, 13, 18 → median 11
- Mode: 11 and 13
- Range: 18 − 5 = 13
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.
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