Year 8 Mean, Median, Mode and Range Worksheet — Level 1 — Answers
Answer sheet with worked solutions for the Year 8 mean, median, mode & range worksheet.
Year 8 Mean, Median, Mode and Range Worksheet — Level 1 — Answers
Order the data first. Show your working for each measure.
1.Data: 6, 18, 17, 2, 12. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 11; median 12; mode no mode; range 16
- Mean: 55 ÷ 5 = 11
- Ordered: 2, 6, 12, 17, 18 → median 12
- Mode: no mode
- Range: 18 − 2 = 16
2.Data: 19, 1, 20, 19, 1. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 12; median 19; mode 1 and 19; range 19
- Mean: 60 ÷ 5 = 12
- Ordered: 1, 1, 19, 19, 20 → median 19
- Mode: 1 and 19
- Range: 20 − 1 = 19
3.Data: 7, 11, 5, 12, 20. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 11; median 11; mode no mode; range 15
- Mean: 55 ÷ 5 = 11
- Ordered: 5, 7, 11, 12, 20 → median 11
- Mode: no mode
- Range: 20 − 5 = 15
4.Data: 11, 4, 11, 11, 13. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 10; median 11; mode 11; range 9
- Mean: 50 ÷ 5 = 10
- Ordered: 4, 11, 11, 11, 13 → median 11
- Mode: 11
- Range: 13 − 4 = 9
5.Data: 3, 19, 10, 15, 8. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 11; median 10; mode no mode; range 16
- Mean: 55 ÷ 5 = 11
- Ordered: 3, 8, 10, 15, 19 → median 10
- Mode: no mode
- Range: 19 − 3 = 16
6.Data: 4, 1, 9, 11, 15. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 8; median 9; mode no mode; range 14
- Mean: 40 ÷ 5 = 8
- Ordered: 1, 4, 9, 11, 15 → median 9
- Mode: no mode
- Range: 15 − 1 = 14
7.Data: 18, 2, 15, 12, 8. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 11; median 12; mode no mode; range 16
- Mean: 55 ÷ 5 = 11
- Ordered: 2, 8, 12, 15, 18 → median 12
- Mode: no mode
- Range: 18 − 2 = 16
8.Data: 10, 17, 7, 17, 4. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 11; median 10; mode 17; range 13
- Mean: 55 ÷ 5 = 11
- Ordered: 4, 7, 10, 17, 17 → median 10
- Mode: 17
- Range: 17 − 4 = 13
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.