Year 6 Mean, Median, Mode and Range Worksheet — Level 3 — 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 3 — Practice Set 4 — Answers
Order the data first. Show your working for each measure.
1.Data: 46, 18, 10, 21, 17, 4, 25. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 20.14; median 18; mode no mode; range 42
- Mean: 141 ÷ 7 = 20.14
- Ordered: 4, 10, 17, 18, 21, 25, 46 → median 18
- Mode: no mode
- Range: 46 − 4 = 42
2.Data: 33, 38, 5, 16, 46, 5. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 23.83; median 24.5; mode 5; range 41
- Mean: 143 ÷ 6 = 23.83
- Ordered: 5, 5, 16, 33, 38, 46 → median 24.5
- Mode: 5
- Range: 46 − 5 = 41
3.Data: 29, 3, 45, 7, 11, 15. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 18.33; median 13; mode no mode; range 42
- Mean: 110 ÷ 6 = 18.33
- Ordered: 3, 7, 11, 15, 29, 45 → median 13
- Mode: no mode
- Range: 45 − 3 = 42
4.Data: 49, 25, 45, 21, 50, 1, 8. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 28.43; median 25; mode no mode; range 49
- Mean: 199 ÷ 7 = 28.43
- Ordered: 1, 8, 21, 25, 45, 49, 50 → median 25
- Mode: no mode
- Range: 50 − 1 = 49
5.Data: 44, 3, 34, 4, 37, 1, 8. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 18.71; median 8; mode no mode; range 43
- Mean: 131 ÷ 7 = 18.71
- Ordered: 1, 3, 4, 8, 34, 37, 44 → median 8
- Mode: no mode
- Range: 44 − 1 = 43
6.Data: 2, 48, 26, 17, 11, 13, 20, 49. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 23.25; median 18.5; mode no mode; range 47
- Mean: 186 ÷ 8 = 23.25
- Ordered: 2, 11, 13, 17, 20, 26, 48, 49 → median 18.5
- Mode: no mode
- Range: 49 − 2 = 47
7.Data: 14, 7, 39, 37, 21, 46, 36. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 28.57; median 36; mode no mode; range 39
- Mean: 200 ÷ 7 = 28.57
- Ordered: 7, 14, 21, 36, 37, 39, 46 → median 36
- Mode: no mode
- Range: 46 − 7 = 39
8.Data: 20, 26, 19, 3, 13, 41, 50, 8. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 22.5; median 19.5; mode no mode; range 47
- Mean: 180 ÷ 8 = 22.5
- Ordered: 3, 8, 13, 19, 20, 26, 41, 50 → median 19.5
- Mode: no mode
- Range: 50 − 3 = 47
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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