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: 18, 23, 23, 18, 50, 11. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 23.83; median 20.5; mode 18 and 23; range 39
- Mean: 143 ÷ 6 = 23.83
- Ordered: 11, 18, 18, 23, 23, 50 → median 20.5
- Mode: 18 and 23
- Range: 50 − 11 = 39
2.Data: 9, 25, 32, 27, 14, 13, 35. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 22.14; median 25; mode no mode; range 26
- Mean: 155 ÷ 7 = 22.14
- Ordered: 9, 13, 14, 25, 27, 32, 35 → median 25
- Mode: no mode
- Range: 35 − 9 = 26
3.Data: 49, 48, 41, 19, 16, 33, 24, 35. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 33.13; median 34; mode no mode; range 33
- Mean: 265 ÷ 8 = 33.13
- Ordered: 16, 19, 24, 33, 35, 41, 48, 49 → median 34
- Mode: no mode
- Range: 49 − 16 = 33
4.Data: 2, 13, 37, 11, 5, 27. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 15.83; median 12; mode no mode; range 35
- Mean: 95 ÷ 6 = 15.83
- Ordered: 2, 5, 11, 13, 27, 37 → median 12
- Mode: no mode
- Range: 37 − 2 = 35
5.Data: 34, 18, 13, 30, 1, 33, 25, 22. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 22; median 23.5; mode no mode; range 33
- Mean: 176 ÷ 8 = 22
- Ordered: 1, 13, 18, 22, 25, 30, 33, 34 → median 23.5
- Mode: no mode
- Range: 34 − 1 = 33
6.Data: 50, 25, 40, 40, 46, 40. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 40.17; median 40; mode 40; range 25
- Mean: 241 ÷ 6 = 40.17
- Ordered: 25, 40, 40, 40, 46, 50 → median 40
- Mode: 40
- Range: 50 − 25 = 25
7.Data: 34, 48, 41, 35, 12, 26, 9. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 29.29; median 34; mode no mode; range 39
- Mean: 205 ÷ 7 = 29.29
- Ordered: 9, 12, 26, 34, 35, 41, 48 → median 34
- Mode: no mode
- Range: 48 − 9 = 39
8.Data: 32, 41, 33, 19, 29, 30, 17, 33. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 29.25; median 31; mode 33; range 24
- Mean: 234 ÷ 8 = 29.25
- Ordered: 17, 19, 29, 30, 32, 33, 33, 41 → median 31
- Mode: 33
- Range: 41 − 17 = 24
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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