Year 6 Mean, Median, Mode and Range Worksheet — Level 3 — 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 3 — Practice Set 3 — Answers
Order the data first. Show your working for each measure.
1.Data: 17, 6, 6, 6, 45, 10, 27, 31. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 18.5; median 13.5; mode 6; range 39
- Mean: 148 ÷ 8 = 18.5
- Ordered: 6, 6, 6, 10, 17, 27, 31, 45 → median 13.5
- Mode: 6
- Range: 45 − 6 = 39
2.Data: 9, 6, 9, 23, 27, 1. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 12.5; median 9; mode 9; range 26
- Mean: 75 ÷ 6 = 12.5
- Ordered: 1, 6, 9, 9, 23, 27 → median 9
- Mode: 9
- Range: 27 − 1 = 26
3.Data: 26, 13, 22, 37, 36, 37, 28, 39. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 29.75; median 32; mode 37; range 26
- Mean: 238 ÷ 8 = 29.75
- Ordered: 13, 22, 26, 28, 36, 37, 37, 39 → median 32
- Mode: 37
- Range: 39 − 13 = 26
4.Data: 32, 27, 20, 3, 39, 18, 34, 5. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 22.25; median 23.5; mode no mode; range 36
- Mean: 178 ÷ 8 = 22.25
- Ordered: 3, 5, 18, 20, 27, 32, 34, 39 → median 23.5
- Mode: no mode
- Range: 39 − 3 = 36
5.Data: 41, 44, 23, 30, 46, 1, 49. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 33.43; median 41; mode no mode; range 48
- Mean: 234 ÷ 7 = 33.43
- Ordered: 1, 23, 30, 41, 44, 46, 49 → median 41
- Mode: no mode
- Range: 49 − 1 = 48
6.Data: 4, 13, 44, 28, 32, 15, 15. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 21.57; median 15; mode 15; range 40
- Mean: 151 ÷ 7 = 21.57
- Ordered: 4, 13, 15, 15, 28, 32, 44 → median 15
- Mode: 15
- Range: 44 − 4 = 40
7.Data: 13, 7, 5, 35, 48, 36. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 24; median 24; mode no mode; range 43
- Mean: 144 ÷ 6 = 24
- Ordered: 5, 7, 13, 35, 36, 48 → median 24
- Mode: no mode
- Range: 48 − 5 = 43
8.Data: 25, 44, 19, 5, 44, 12, 22, 1. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 21.5; median 20.5; mode 44; range 43
- Mean: 172 ÷ 8 = 21.5
- Ordered: 1, 5, 12, 19, 22, 25, 44, 44 → median 20.5
- Mode: 44
- Range: 44 − 1 = 43
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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