Year 9 Mean, Median, Mode and Range Worksheet — Level 1 — Practice Set 4 — Answers
Answer sheet with worked solutions for the Year 9 mean, median, mode & range worksheet.
Year 9 Mean, Median, Mode and Range Worksheet — Level 1 — Practice Set 4 — Answers
Order the data first. Show your working for each measure.
1.Data: 1, 5, 7, 8, 9. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 6; median 7; mode no mode; range 8
- Mean: 30 ÷ 5 = 6
- Ordered: 1, 5, 7, 8, 9 → median 7
- Mode: no mode
- Range: 9 − 1 = 8
2.Data: 3, 5, 14, 10, 18. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 10; median 10; mode no mode; range 15
- Mean: 50 ÷ 5 = 10
- Ordered: 3, 5, 10, 14, 18 → median 10
- Mode: no mode
- Range: 18 − 3 = 15
3.Data: 14, 11, 7, 6, 12. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 10; median 11; mode no mode; range 8
- Mean: 50 ÷ 5 = 10
- Ordered: 6, 7, 11, 12, 14 → median 11
- Mode: no mode
- Range: 14 − 6 = 8
4.Data: 15, 3, 2, 18, 7. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 9; median 7; mode no mode; range 16
- Mean: 45 ÷ 5 = 9
- Ordered: 2, 3, 7, 15, 18 → median 7
- Mode: no mode
- Range: 18 − 2 = 16
5.Data: 20, 18, 18, 13, 11. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 16; median 18; mode 18; range 9
- Mean: 80 ÷ 5 = 16
- Ordered: 11, 13, 18, 18, 20 → median 18
- Mode: 18
- Range: 20 − 11 = 9
6.Data: 12, 18, 18, 8, 19. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 15; median 18; mode 18; range 11
- Mean: 75 ÷ 5 = 15
- Ordered: 8, 12, 18, 18, 19 → median 18
- Mode: 18
- Range: 19 − 8 = 11
7.Data: 5, 3, 3, 6, 18. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 7; median 5; mode 3; range 15
- Mean: 35 ÷ 5 = 7
- Ordered: 3, 3, 5, 6, 18 → median 5
- Mode: 3
- Range: 18 − 3 = 15
8.Data: 7, 17, 14, 8, 9. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 11; median 9; mode no mode; range 10
- Mean: 55 ÷ 5 = 11
- Ordered: 7, 8, 9, 14, 17 → median 9
- Mode: no mode
- Range: 17 − 7 = 10
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.