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: 6, 8, 19, 9, 4, 8. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 9; median 8; mode 8; range 15
- Mean: 54 ÷ 6 = 9
- Ordered: 4, 6, 8, 8, 9, 19 → median 8
- Mode: 8
- Range: 19 − 4 = 15
2.Data: 18, 7, 4, 4, 15, 19, 17, 20. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 13; median 16; mode 4; range 16
- Mean: 104 ÷ 8 = 13
- Ordered: 4, 4, 7, 15, 17, 18, 19, 20 → median 16
- Mode: 4
- Range: 20 − 4 = 16
3.Data: 7, 3, 16, 15, 17, 2. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 10; median 11; mode no mode; range 15
- Mean: 60 ÷ 6 = 10
- Ordered: 2, 3, 7, 15, 16, 17 → median 11
- Mode: no mode
- Range: 17 − 2 = 15
4.Data: 10, 16, 13, 11, 17, 19, 14, 12. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 14; median 13.5; mode no mode; range 9
- Mean: 112 ÷ 8 = 14
- Ordered: 10, 11, 12, 13, 14, 16, 17, 19 → median 13.5
- Mode: no mode
- Range: 19 − 10 = 9
5.Data: 19, 9, 17, 15, 15, 5, 2, 14. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 12; median 14.5; mode 15; range 17
- Mean: 96 ÷ 8 = 12
- Ordered: 2, 5, 9, 14, 15, 15, 17, 19 → median 14.5
- Mode: 15
- Range: 19 − 2 = 17
6.Data: 12, 7, 18, 1, 2, 19, 11, 10. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 10; median 10.5; mode no mode; range 18
- Mean: 80 ÷ 8 = 10
- Ordered: 1, 2, 7, 10, 11, 12, 18, 19 → median 10.5
- Mode: no mode
- Range: 19 − 1 = 18
7.Data: 13, 1, 12, 20, 15, 16, 20, 15. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 14; median 15; mode 15 and 20; range 19
- Mean: 112 ÷ 8 = 14
- Ordered: 1, 12, 13, 15, 15, 16, 20, 20 → median 15
- Mode: 15 and 20
- Range: 20 − 1 = 19
8.Data: 18, 4, 9, 5, 11, 13. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 10; median 10; mode no mode; range 14
- Mean: 60 ÷ 6 = 10
- Ordered: 4, 5, 9, 11, 13, 18 → median 10
- Mode: no mode
- Range: 18 − 4 = 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.
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