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: 16, 2, 19, 14, 18, 17, 6, 20. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 14; median 16.5; mode no mode; range 18
- Mean: 112 ÷ 8 = 14
- Ordered: 2, 6, 14, 16, 17, 18, 19, 20 → median 16.5
- Mode: no mode
- Range: 20 − 2 = 18
2.Data: 17, 14, 13, 14, 20, 12. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 15; median 14; mode 14; range 8
- Mean: 90 ÷ 6 = 15
- Ordered: 12, 13, 14, 14, 17, 20 → median 14
- Mode: 14
- Range: 20 − 12 = 8
3.Data: 13, 13, 2, 6, 19, 8, 9. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 10; median 9; mode 13; range 17
- Mean: 70 ÷ 7 = 10
- Ordered: 2, 6, 8, 9, 13, 13, 19 → median 9
- Mode: 13
- Range: 19 − 2 = 17
4.Data: 10, 6, 5, 9, 20, 10, 16, 12. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 11; median 10; mode 10; range 15
- Mean: 88 ÷ 8 = 11
- Ordered: 5, 6, 9, 10, 10, 12, 16, 20 → median 10
- Mode: 10
- Range: 20 − 5 = 15
5.Data: 13, 3, 17, 6, 11, 4. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 9; median 8.5; mode no mode; range 14
- Mean: 54 ÷ 6 = 9
- Ordered: 3, 4, 6, 11, 13, 17 → median 8.5
- Mode: no mode
- Range: 17 − 3 = 14
6.Data: 5, 13, 1, 3, 1, 4, 8. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 5; median 4; mode 1; range 12
- Mean: 35 ÷ 7 = 5
- Ordered: 1, 1, 3, 4, 5, 8, 13 → median 4
- Mode: 1
- Range: 13 − 1 = 12
7.Data: 7, 13, 6, 3, 17, 18, 20. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 12; median 13; mode no mode; range 17
- Mean: 84 ÷ 7 = 12
- Ordered: 3, 6, 7, 13, 17, 18, 20 → median 13
- Mode: no mode
- Range: 20 − 3 = 17
8.Data: 20, 14, 20, 14, 20, 20. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 18; median 20; mode 20; range 6
- Mean: 108 ÷ 6 = 18
- Ordered: 14, 14, 20, 20, 20, 20 → median 20
- Mode: 20
- Range: 20 − 14 = 6
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.