Year 9 Mean, Median, Mode and Range Worksheet — Level 2 — Practice Set 2 — Answers
Answer sheet with worked solutions for the Year 9 mean, median, mode & range worksheet.
Year 9 Mean, Median, Mode and Range Worksheet — Level 2 — Practice Set 2 — Answers
Order the data first. Show your working for each measure.
1.Data: 1, 7, 5, 1, 5, 11. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 5; median 5; mode 1 and 5; range 10
- Mean: 30 ÷ 6 = 5
- Ordered: 1, 1, 5, 5, 7, 11 → median 5
- Mode: 1 and 5
- Range: 11 − 1 = 10
2.Data: 2, 19, 5, 10, 4, 14. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 9; median 7.5; mode no mode; range 17
- Mean: 54 ÷ 6 = 9
- Ordered: 2, 4, 5, 10, 14, 19 → median 7.5
- Mode: no mode
- Range: 19 − 2 = 17
3.Data: 17, 3, 16, 1, 8, 15, 2, 10. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 9; median 9; mode no mode; range 16
- Mean: 72 ÷ 8 = 9
- Ordered: 1, 2, 3, 8, 10, 15, 16, 17 → median 9
- Mode: no mode
- Range: 17 − 1 = 16
4.Data: 11, 6, 2, 20, 1, 20. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 10; median 8.5; mode 20; range 19
- Mean: 60 ÷ 6 = 10
- Ordered: 1, 2, 6, 11, 20, 20 → median 8.5
- Mode: 20
- Range: 20 − 1 = 19
5.Data: 15, 7, 17, 7, 2, 12. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 10; median 9.5; mode 7; range 15
- Mean: 60 ÷ 6 = 10
- Ordered: 2, 7, 7, 12, 15, 17 → median 9.5
- Mode: 7
- Range: 17 − 2 = 15
6.Data: 9, 16, 4, 20, 20, 7, 3, 17. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 12; median 12.5; mode 20; range 17
- Mean: 96 ÷ 8 = 12
- Ordered: 3, 4, 7, 9, 16, 17, 20, 20 → median 12.5
- Mode: 20
- Range: 20 − 3 = 17
7.Data: 17, 6, 11, 12, 14, 8, 3, 9. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 10; median 10; mode no mode; range 14
- Mean: 80 ÷ 8 = 10
- Ordered: 3, 6, 8, 9, 11, 12, 14, 17 → median 10
- Mode: no mode
- Range: 17 − 3 = 14
8.Data: 8, 19, 19, 16, 18, 3, 3, 18. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 13; median 17; mode 3 and 18 and 19; range 16
- Mean: 104 ÷ 8 = 13
- Ordered: 3, 3, 8, 16, 18, 18, 19, 19 → median 17
- Mode: 3 and 18 and 19
- Range: 19 − 3 = 16
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.