Year 9 Mean, Median, Mode and Range Worksheet — Level 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 — Answers
Order the data first. Show your working for each measure.
1.Data: 17, 17, 8, 8, 6, 9, 2, 13. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 10; median 8.5; mode 8 and 17; range 15
- Mean: 80 ÷ 8 = 10
- Ordered: 2, 6, 8, 8, 9, 13, 17, 17 → median 8.5
- Mode: 8 and 17
- Range: 17 − 2 = 15
2.Data: 11, 17, 19, 2, 15, 13, 7, 12. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 12; median 12.5; mode no mode; range 17
- Mean: 96 ÷ 8 = 12
- Ordered: 2, 7, 11, 12, 13, 15, 17, 19 → median 12.5
- Mode: no mode
- Range: 19 − 2 = 17
3.Data: 12, 4, 2, 15, 5, 12, 11, 3. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 8; median 8; mode 12; range 13
- Mean: 64 ÷ 8 = 8
- Ordered: 2, 3, 4, 5, 11, 12, 12, 15 → median 8
- Mode: 12
- Range: 15 − 2 = 13
4.Data: 15, 8, 17, 10, 18, 4. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 12; median 12.5; mode no mode; range 14
- Mean: 72 ÷ 6 = 12
- Ordered: 4, 8, 10, 15, 17, 18 → median 12.5
- Mode: no mode
- Range: 18 − 4 = 14
5.Data: 16, 12, 17, 16, 11, 6. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 13; median 14; mode 16; range 11
- Mean: 78 ÷ 6 = 13
- Ordered: 6, 11, 12, 16, 16, 17 → median 14
- Mode: 16
- Range: 17 − 6 = 11
6.Data: 6, 14, 9, 11, 20, 12. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 12; median 11.5; mode no mode; range 14
- Mean: 72 ÷ 6 = 12
- Ordered: 6, 9, 11, 12, 14, 20 → median 11.5
- Mode: no mode
- Range: 20 − 6 = 14
7.Data: 4, 5, 3, 14, 1, 17, 17, 19. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 10; median 9.5; mode 17; range 18
- Mean: 80 ÷ 8 = 10
- Ordered: 1, 3, 4, 5, 14, 17, 17, 19 → median 9.5
- Mode: 17
- Range: 19 − 1 = 18
8.Data: 8, 9, 14, 8, 12, 6, 4, 19. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 10; median 8.5; mode 8; range 15
- Mean: 80 ÷ 8 = 10
- Ordered: 4, 6, 8, 8, 9, 12, 14, 19 → median 8.5
- Mode: 8
- Range: 19 − 4 = 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.