Year 6 Mean, Median, Mode and Range Worksheet — Level 3 — Practice Set 2 — 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 2 — Answers
Order the data first. Show your working for each measure.
1.Data: 49, 30, 15, 20, 41, 19, 15, 8. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 24.63; median 19.5; mode 15; range 41
- Mean: 197 ÷ 8 = 24.63
- Ordered: 8, 15, 15, 19, 20, 30, 41, 49 → median 19.5
- Mode: 15
- Range: 49 − 8 = 41
2.Data: 29, 48, 50, 6, 32, 8, 45. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 31.14; median 32; mode no mode; range 44
- Mean: 218 ÷ 7 = 31.14
- Ordered: 6, 8, 29, 32, 45, 48, 50 → median 32
- Mode: no mode
- Range: 50 − 6 = 44
3.Data: 19, 21, 15, 26, 21, 45, 19, 31. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 24.63; median 21; mode 19 and 21; range 30
- Mean: 197 ÷ 8 = 24.63
- Ordered: 15, 19, 19, 21, 21, 26, 31, 45 → median 21
- Mode: 19 and 21
- Range: 45 − 15 = 30
4.Data: 9, 14, 36, 43, 33, 37, 34. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 29.43; median 34; mode no mode; range 34
- Mean: 206 ÷ 7 = 29.43
- Ordered: 9, 14, 33, 34, 36, 37, 43 → median 34
- Mode: no mode
- Range: 43 − 9 = 34
5.Data: 31, 46, 5, 2, 11, 24, 5. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 17.71; median 11; mode 5; range 44
- Mean: 124 ÷ 7 = 17.71
- Ordered: 2, 5, 5, 11, 24, 31, 46 → median 11
- Mode: 5
- Range: 46 − 2 = 44
6.Data: 5, 13, 7, 42, 1, 17. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 14.17; median 10; mode no mode; range 41
- Mean: 85 ÷ 6 = 14.17
- Ordered: 1, 5, 7, 13, 17, 42 → median 10
- Mode: no mode
- Range: 42 − 1 = 41
7.Data: 6, 50, 15, 15, 40, 32, 42, 12. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 26.5; median 23.5; mode 15; range 44
- Mean: 212 ÷ 8 = 26.5
- Ordered: 6, 12, 15, 15, 32, 40, 42, 50 → median 23.5
- Mode: 15
- Range: 50 − 6 = 44
8.Data: 27, 10, 41, 6, 48, 23. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 25.83; median 25; mode no mode; range 42
- Mean: 155 ÷ 6 = 25.83
- Ordered: 6, 10, 23, 27, 41, 48 → median 25
- Mode: no mode
- Range: 48 − 6 = 42
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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