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: 18, 20, 2, 2, 13. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 11; median 13; mode 2; range 18
- Mean: 55 ÷ 5 = 11
- Ordered: 2, 2, 13, 18, 20 → median 13
- Mode: 2
- Range: 20 − 2 = 18
2.Data: 2, 20, 8, 16, 9. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 11; median 9; mode no mode; range 18
- Mean: 55 ÷ 5 = 11
- Ordered: 2, 8, 9, 16, 20 → median 9
- Mode: no mode
- Range: 20 − 2 = 18
3.Data: 12, 19, 10, 3, 16. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 12; median 12; mode no mode; range 16
- Mean: 60 ÷ 5 = 12
- Ordered: 3, 10, 12, 16, 19 → median 12
- Mode: no mode
- Range: 19 − 3 = 16
4.Data: 15, 7, 19, 3, 1. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 9; median 7; mode no mode; range 18
- Mean: 45 ÷ 5 = 9
- Ordered: 1, 3, 7, 15, 19 → median 7
- Mode: no mode
- Range: 19 − 1 = 18
5.Data: 17, 4, 15, 9, 5. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 10; median 9; mode no mode; range 13
- Mean: 50 ÷ 5 = 10
- Ordered: 4, 5, 9, 15, 17 → median 9
- Mode: no mode
- Range: 17 − 4 = 13
6.Data: 19, 16, 12, 15, 3. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 13; median 15; mode no mode; range 16
- Mean: 65 ÷ 5 = 13
- Ordered: 3, 12, 15, 16, 19 → median 15
- Mode: no mode
- Range: 19 − 3 = 16
7.Data: 9, 10, 1, 4, 1. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 5; median 4; mode 1; range 9
- Mean: 25 ÷ 5 = 5
- Ordered: 1, 1, 4, 9, 10 → median 4
- Mode: 1
- Range: 10 − 1 = 9
8.Data: 7, 11, 1, 16, 5. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 8; median 7; mode no mode; range 15
- Mean: 40 ÷ 5 = 8
- Ordered: 1, 5, 7, 11, 16 → median 7
- Mode: no mode
- Range: 16 − 1 = 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.