Year 9 Mean, Median, Mode and Range Worksheet — Level 2 — 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 2 — Practice Set 4 — Answers
Order the data first. Show your working for each measure.
1.Data: 8, 7, 19, 13, 1, 5, 10. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 9; median 8; mode no mode; range 18
- Mean: 63 ÷ 7 = 9
- Ordered: 1, 5, 7, 8, 10, 13, 19 → median 8
- Mode: no mode
- Range: 19 − 1 = 18
2.Data: 8, 11, 7, 19, 1, 2. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 8; median 7.5; mode no mode; range 18
- Mean: 48 ÷ 6 = 8
- Ordered: 1, 2, 7, 8, 11, 19 → median 7.5
- Mode: no mode
- Range: 19 − 1 = 18
3.Data: 18, 11, 4, 15, 14, 15, 14. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 13; median 14; mode 14 and 15; range 14
- Mean: 91 ÷ 7 = 13
- Ordered: 4, 11, 14, 14, 15, 15, 18 → median 14
- Mode: 14 and 15
- Range: 18 − 4 = 14
4.Data: 1, 18, 10, 14, 18, 8, 2, 9. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 10; median 9.5; mode 18; range 17
- Mean: 80 ÷ 8 = 10
- Ordered: 1, 2, 8, 9, 10, 14, 18, 18 → median 9.5
- Mode: 18
- Range: 18 − 1 = 17
5.Data: 10, 5, 8, 11, 5, 17, 5, 3. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 8; median 6.5; mode 5; range 14
- Mean: 64 ÷ 8 = 8
- Ordered: 3, 5, 5, 5, 8, 10, 11, 17 → median 6.5
- Mode: 5
- Range: 17 − 3 = 14
6.Data: 12, 10, 14, 20, 16, 12. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 14; median 13; mode 12; range 10
- Mean: 84 ÷ 6 = 14
- Ordered: 10, 12, 12, 14, 16, 20 → median 13
- Mode: 12
- Range: 20 − 10 = 10
7.Data: 4, 3, 19, 13, 19, 9, 10. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 11; median 10; mode 19; range 16
- Mean: 77 ÷ 7 = 11
- Ordered: 3, 4, 9, 10, 13, 19, 19 → median 10
- Mode: 19
- Range: 19 − 3 = 16
8.Data: 8, 11, 18, 18, 16, 19. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 15; median 17; mode 18; range 11
- Mean: 90 ÷ 6 = 15
- Ordered: 8, 11, 16, 18, 18, 19 → median 17
- Mode: 18
- Range: 19 − 8 = 11
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.