Year 9 Mean, Median, Mode and Range Worksheet — Level 2 — Practice Set 3 — 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 3 — Answers
Order the data first. Show your working for each measure.
1.Data: 9, 14, 15, 5, 3, 4, 13. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 9; median 9; mode no mode; range 12
- Mean: 63 ÷ 7 = 9
- Ordered: 3, 4, 5, 9, 13, 14, 15 → median 9
- Mode: no mode
- Range: 15 − 3 = 12
2.Data: 19, 5, 4, 13, 16, 9. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 11; median 11; mode no mode; range 15
- Mean: 66 ÷ 6 = 11
- Ordered: 4, 5, 9, 13, 16, 19 → median 11
- Mode: no mode
- Range: 19 − 4 = 15
3.Data: 8, 7, 10, 12, 6, 4, 2. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 7; median 7; mode no mode; range 10
- Mean: 49 ÷ 7 = 7
- Ordered: 2, 4, 6, 7, 8, 10, 12 → median 7
- Mode: no mode
- Range: 12 − 2 = 10
4.Data: 17, 4, 8, 3, 10, 18. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 10; median 9; mode no mode; range 15
- Mean: 60 ÷ 6 = 10
- Ordered: 3, 4, 8, 10, 17, 18 → median 9
- Mode: no mode
- Range: 18 − 3 = 15
5.Data: 13, 20, 18, 10, 17, 18. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 16; median 17.5; mode 18; range 10
- Mean: 96 ÷ 6 = 16
- Ordered: 10, 13, 17, 18, 18, 20 → median 17.5
- Mode: 18
- Range: 20 − 10 = 10
6.Data: 19, 15, 20, 7, 7, 16. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 14; median 15.5; mode 7; range 13
- Mean: 84 ÷ 6 = 14
- Ordered: 7, 7, 15, 16, 19, 20 → median 15.5
- Mode: 7
- Range: 20 − 7 = 13
7.Data: 2, 14, 1, 2, 4, 13. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 6; median 3; mode 2; range 13
- Mean: 36 ÷ 6 = 6
- Ordered: 1, 2, 2, 4, 13, 14 → median 3
- Mode: 2
- Range: 14 − 1 = 13
8.Data: 9, 13, 3, 2, 18, 9. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 9; median 9; mode 9; range 16
- Mean: 54 ÷ 6 = 9
- Ordered: 2, 3, 9, 9, 13, 18 → median 9
- Mode: 9
- Range: 18 − 2 = 16
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.