Year 9 Mean, Median, Mode and Range Worksheet — Level 1 — 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 — Answers
Order the data first. Show your working for each measure.
1.Data: 4, 14, 13, 5, 4. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 8; median 5; mode 4; range 10
- Mean: 40 ÷ 5 = 8
- Ordered: 4, 4, 5, 13, 14 → median 5
- Mode: 4
- Range: 14 − 4 = 10
2.Data: 17, 12, 14, 16, 16. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 15; median 16; mode 16; range 5
- Mean: 75 ÷ 5 = 15
- Ordered: 12, 14, 16, 16, 17 → median 16
- Mode: 16
- Range: 17 − 12 = 5
3.Data: 19, 14, 13, 6, 8. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 12; median 13; mode no mode; range 13
- Mean: 60 ÷ 5 = 12
- Ordered: 6, 8, 13, 14, 19 → median 13
- Mode: no mode
- Range: 19 − 6 = 13
4.Data: 9, 18, 19, 8, 11. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 13; median 11; mode no mode; range 11
- Mean: 65 ÷ 5 = 13
- Ordered: 8, 9, 11, 18, 19 → median 11
- Mode: no mode
- Range: 19 − 8 = 11
5.Data: 11, 13, 18, 18, 15. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 15; median 15; mode 18; range 7
- Mean: 75 ÷ 5 = 15
- Ordered: 11, 13, 15, 18, 18 → median 15
- Mode: 18
- Range: 18 − 11 = 7
6.Data: 2, 1, 5, 1, 6. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 3; median 2; mode 1; range 5
- Mean: 15 ÷ 5 = 3
- Ordered: 1, 1, 2, 5, 6 → median 2
- Mode: 1
- Range: 6 − 1 = 5
7.Data: 9, 8, 15, 20, 8. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 12; median 9; mode 8; range 12
- Mean: 60 ÷ 5 = 12
- Ordered: 8, 8, 9, 15, 20 → median 9
- Mode: 8
- Range: 20 − 8 = 12
8.Data: 15, 6, 3, 5, 11. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 8; median 6; mode no mode; range 12
- Mean: 40 ÷ 5 = 8
- Ordered: 3, 5, 6, 11, 15 → median 6
- Mode: no mode
- Range: 15 − 3 = 12
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.