Year 8 Mean, Median, Mode and Range Worksheet — Level 2 — 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 — Answers
Order the data first. Show your working for each measure.
1.Data: 20, 9, 3, 20, 20, 18. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 15; median 19; mode 20; range 17
- Mean: 90 ÷ 6 = 15
- Ordered: 3, 9, 18, 20, 20, 20 → median 19
- Mode: 20
- Range: 20 − 3 = 17
2.Data: 9, 17, 10, 5, 4, 5, 14, 16. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 10; median 9.5; mode 5; range 13
- Mean: 80 ÷ 8 = 10
- Ordered: 4, 5, 5, 9, 10, 14, 16, 17 → median 9.5
- Mode: 5
- Range: 17 − 4 = 13
3.Data: 9, 10, 16, 4, 14, 5, 12. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 10; median 10; mode no mode; range 12
- Mean: 70 ÷ 7 = 10
- Ordered: 4, 5, 9, 10, 12, 14, 16 → median 10
- Mode: no mode
- Range: 16 − 4 = 12
4.Data: 19, 9, 6, 4, 5, 4, 2. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 7; median 5; mode 4; range 17
- Mean: 49 ÷ 7 = 7
- Ordered: 2, 4, 4, 5, 6, 9, 19 → median 5
- Mode: 4
- Range: 19 − 2 = 17
5.Data: 17, 1, 4, 6, 8, 18. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 9; median 7; mode no mode; range 17
- Mean: 54 ÷ 6 = 9
- Ordered: 1, 4, 6, 8, 17, 18 → median 7
- Mode: no mode
- Range: 18 − 1 = 17
6.Data: 10, 12, 5, 12, 2, 13, 17, 9. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 10; median 11; mode 12; range 15
- Mean: 80 ÷ 8 = 10
- Ordered: 2, 5, 9, 10, 12, 12, 13, 17 → median 11
- Mode: 12
- Range: 17 − 2 = 15
7.Data: 16, 19, 5, 19, 2, 11. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 12; median 13.5; mode 19; range 17
- Mean: 72 ÷ 6 = 12
- Ordered: 2, 5, 11, 16, 19, 19 → median 13.5
- Mode: 19
- Range: 19 − 2 = 17
8.Data: 1, 20, 17, 17, 15, 10, 18. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 14; median 17; mode 17; range 19
- Mean: 98 ÷ 7 = 14
- Ordered: 1, 10, 15, 17, 17, 18, 20 → median 17
- Mode: 17
- Range: 20 − 1 = 19
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.