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: 14, 8, 14, 10, 20, 12, 20. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 14; median 14; mode 14 and 20; range 12
- Mean: 98 ÷ 7 = 14
- Ordered: 8, 10, 12, 14, 14, 20, 20 → median 14
- Mode: 14 and 20
- Range: 20 − 8 = 12
2.Data: 3, 20, 5, 1, 11, 3, 6. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 7; median 5; mode 3; range 19
- Mean: 49 ÷ 7 = 7
- Ordered: 1, 3, 3, 5, 6, 11, 20 → median 5
- Mode: 3
- Range: 20 − 1 = 19
3.Data: 16, 14, 19, 12, 15, 4, 11. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 13; median 14; mode no mode; range 15
- Mean: 91 ÷ 7 = 13
- Ordered: 4, 11, 12, 14, 15, 16, 19 → median 14
- Mode: no mode
- Range: 19 − 4 = 15
4.Data: 16, 5, 12, 3, 9, 5, 13. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 9; median 9; mode 5; range 13
- Mean: 63 ÷ 7 = 9
- Ordered: 3, 5, 5, 9, 12, 13, 16 → median 9
- Mode: 5
- Range: 16 − 3 = 13
5.Data: 17, 20, 3, 17, 20, 16, 11, 8. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 14; median 16.5; mode 17 and 20; range 17
- Mean: 112 ÷ 8 = 14
- Ordered: 3, 8, 11, 16, 17, 17, 20, 20 → median 16.5
- Mode: 17 and 20
- Range: 20 − 3 = 17
6.Data: 12, 9, 18, 2, 20, 11. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 12; median 11.5; mode no mode; range 18
- Mean: 72 ÷ 6 = 12
- Ordered: 2, 9, 11, 12, 18, 20 → median 11.5
- Mode: no mode
- Range: 20 − 2 = 18
7.Data: 12, 19, 16, 1, 10, 20, 13. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 13; median 13; mode no mode; range 19
- Mean: 91 ÷ 7 = 13
- Ordered: 1, 10, 12, 13, 16, 19, 20 → median 13
- Mode: no mode
- Range: 20 − 1 = 19
8.Data: 5, 9, 2, 3, 10, 2, 17, 16. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 8; median 7; mode 2; range 15
- Mean: 64 ÷ 8 = 8
- Ordered: 2, 2, 3, 5, 9, 10, 16, 17 → median 7
- Mode: 2
- Range: 17 − 2 = 15
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.