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: 3, 9, 11, 13, 3, 9. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 8; median 9; mode 3 and 9; range 10
- Mean: 48 ÷ 6 = 8
- Ordered: 3, 3, 9, 9, 11, 13 → median 9
- Mode: 3 and 9
- Range: 13 − 3 = 10
2.Data: 10, 9, 13, 18, 1, 1, 11, 9. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 9; median 9.5; mode 1 and 9; range 17
- Mean: 72 ÷ 8 = 9
- Ordered: 1, 1, 9, 9, 10, 11, 13, 18 → median 9.5
- Mode: 1 and 9
- Range: 18 − 1 = 17
3.Data: 1, 11, 14, 20, 11, 7, 8, 16. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 11; median 11; mode 11; range 19
- Mean: 88 ÷ 8 = 11
- Ordered: 1, 7, 8, 11, 11, 14, 16, 20 → median 11
- Mode: 11
- Range: 20 − 1 = 19
4.Data: 14, 20, 19, 6, 14, 5. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 13; median 14; mode 14; range 15
- Mean: 78 ÷ 6 = 13
- Ordered: 5, 6, 14, 14, 19, 20 → median 14
- Mode: 14
- Range: 20 − 5 = 15
5.Data: 15, 11, 7, 16, 13, 10. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 12; median 12; mode no mode; range 9
- Mean: 72 ÷ 6 = 12
- Ordered: 7, 10, 11, 13, 15, 16 → median 12
- Mode: no mode
- Range: 16 − 7 = 9
6.Data: 19, 10, 1, 14, 10, 16, 11, 7. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 11; median 10.5; mode 10; range 18
- Mean: 88 ÷ 8 = 11
- Ordered: 1, 7, 10, 10, 11, 14, 16, 19 → median 10.5
- Mode: 10
- Range: 19 − 1 = 18
7.Data: 3, 1, 7, 6, 13, 12. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 7; median 6.5; mode no mode; range 12
- Mean: 42 ÷ 6 = 7
- Ordered: 1, 3, 6, 7, 12, 13 → median 6.5
- Mode: no mode
- Range: 13 − 1 = 12
8.Data: 4, 9, 17, 4, 15, 5. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 9; median 7; mode 4; range 13
- Mean: 54 ÷ 6 = 9
- Ordered: 4, 4, 5, 9, 15, 17 → median 7
- Mode: 4
- Range: 17 − 4 = 13
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.