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: 10, 16, 13, 11, 20. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 14; median 13; mode no mode; range 10
- Mean: 70 ÷ 5 = 14
- Ordered: 10, 11, 13, 16, 20 → median 13
- Mode: no mode
- Range: 20 − 10 = 10
2.Data: 7, 11, 4, 14, 9. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 9; median 9; mode no mode; range 10
- Mean: 45 ÷ 5 = 9
- Ordered: 4, 7, 9, 11, 14 → median 9
- Mode: no mode
- Range: 14 − 4 = 10
3.Data: 4, 3, 9, 20, 9. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 9; median 9; mode 9; range 17
- Mean: 45 ÷ 5 = 9
- Ordered: 3, 4, 9, 9, 20 → median 9
- Mode: 9
- Range: 20 − 3 = 17
4.Data: 19, 5, 4, 6, 16. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 10; median 6; mode no mode; range 15
- Mean: 50 ÷ 5 = 10
- Ordered: 4, 5, 6, 16, 19 → median 6
- Mode: no mode
- Range: 19 − 4 = 15
5.Data: 12, 14, 12, 6, 6. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 10; median 12; mode 6 and 12; range 8
- Mean: 50 ÷ 5 = 10
- Ordered: 6, 6, 12, 12, 14 → median 12
- Mode: 6 and 12
- Range: 14 − 6 = 8
6.Data: 13, 5, 6, 18, 18. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 12; median 13; mode 18; range 13
- Mean: 60 ÷ 5 = 12
- Ordered: 5, 6, 13, 18, 18 → median 13
- Mode: 18
- Range: 18 − 5 = 13
7.Data: 3, 12, 10, 10, 10. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 9; median 10; mode 10; range 9
- Mean: 45 ÷ 5 = 9
- Ordered: 3, 10, 10, 10, 12 → median 10
- Mode: 10
- Range: 12 − 3 = 9
8.Data: 19, 14, 7, 10, 5. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 11; median 10; mode no mode; range 14
- Mean: 55 ÷ 5 = 11
- Ordered: 5, 7, 10, 14, 19 → median 10
- Mode: no mode
- Range: 19 − 5 = 14
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.