Year 8 Mean, Median, Mode and Range Worksheet — Level 2 — Practice Set 4 — Answers
Answer sheet with worked solutions for the Year 8 mean, median, mode & range worksheet.
Year 8 Mean, Median, Mode and Range Worksheet — Level 2 — Practice Set 4 — Answers
Order the data first. Show your working for each measure.
1.Data: 6, 16, 8, 11, 9, 8, 5. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 9; median 8; mode 8; range 11
- Mean: 63 ÷ 7 = 9
- Ordered: 5, 6, 8, 8, 9, 11, 16 → median 8
- Mode: 8
- Range: 16 − 5 = 11
2.Data: 11, 3, 2, 16, 8, 8, 8. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 8; median 8; mode 8; range 14
- Mean: 56 ÷ 7 = 8
- Ordered: 2, 3, 8, 8, 8, 11, 16 → median 8
- Mode: 8
- Range: 16 − 2 = 14
3.Data: 15, 2, 6, 13, 13, 11. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 10; median 12; mode 13; range 13
- Mean: 60 ÷ 6 = 10
- Ordered: 2, 6, 11, 13, 13, 15 → median 12
- Mode: 13
- Range: 15 − 2 = 13
4.Data: 14, 14, 13, 15, 17, 13, 12. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 14; median 14; mode 13 and 14; range 5
- Mean: 98 ÷ 7 = 14
- Ordered: 12, 13, 13, 14, 14, 15, 17 → median 14
- Mode: 13 and 14
- Range: 17 − 12 = 5
5.Data: 1, 12, 5, 1, 13, 12, 6, 14. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 8; median 9; mode 1 and 12; range 13
- Mean: 64 ÷ 8 = 8
- Ordered: 1, 1, 5, 6, 12, 12, 13, 14 → median 9
- Mode: 1 and 12
- Range: 14 − 1 = 13
6.Data: 6, 8, 3, 4, 2, 7. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 5; median 5; mode no mode; range 6
- Mean: 30 ÷ 6 = 5
- Ordered: 2, 3, 4, 6, 7, 8 → median 5
- Mode: no mode
- Range: 8 − 2 = 6
7.Data: 12, 12, 9, 14, 10, 15, 5. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 11; median 12; mode 12; range 10
- Mean: 77 ÷ 7 = 11
- Ordered: 5, 9, 10, 12, 12, 14, 15 → median 12
- Mode: 12
- Range: 15 − 5 = 10
8.Data: 9, 6, 10, 20, 2, 13. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 10; median 9.5; mode no mode; range 18
- Mean: 60 ÷ 6 = 10
- Ordered: 2, 6, 9, 10, 13, 20 → median 9.5
- Mode: no mode
- Range: 20 − 2 = 18
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.