Year 9 Mean, Median, Mode and Range Worksheet — Level 2 — Practice Set 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 — Practice Set 2 — Answers
Order the data first. Show your working for each measure.
1.Data: 14, 12, 12, 19, 13, 14. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 14; median 13.5; mode 12 and 14; range 7
- Mean: 84 ÷ 6 = 14
- Ordered: 12, 12, 13, 14, 14, 19 → median 13.5
- Mode: 12 and 14
- Range: 19 − 12 = 7
2.Data: 7, 4, 11, 20, 9, 14, 5, 18. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 11; median 10; mode no mode; range 16
- Mean: 88 ÷ 8 = 11
- Ordered: 4, 5, 7, 9, 11, 14, 18, 20 → median 10
- Mode: no mode
- Range: 20 − 4 = 16
3.Data: 2, 2, 10, 4, 8, 4. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 5; median 4; mode 2 and 4; range 8
- Mean: 30 ÷ 6 = 5
- Ordered: 2, 2, 4, 4, 8, 10 → median 4
- Mode: 2 and 4
- Range: 10 − 2 = 8
4.Data: 12, 15, 12, 10, 9, 3, 10, 1. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 9; median 10; mode 10 and 12; range 14
- Mean: 72 ÷ 8 = 9
- Ordered: 1, 3, 9, 10, 10, 12, 12, 15 → median 10
- Mode: 10 and 12
- Range: 15 − 1 = 14
5.Data: 9, 15, 2, 14, 20, 18. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 13; median 14.5; mode no mode; range 18
- Mean: 78 ÷ 6 = 13
- Ordered: 2, 9, 14, 15, 18, 20 → median 14.5
- Mode: no mode
- Range: 20 − 2 = 18
6.Data: 12, 4, 6, 16, 14, 15, 3. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 10; median 12; mode no mode; range 13
- Mean: 70 ÷ 7 = 10
- Ordered: 3, 4, 6, 12, 14, 15, 16 → median 12
- Mode: no mode
- Range: 16 − 3 = 13
7.Data: 17, 16, 5, 1, 17, 20, 8. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 12; median 16; mode 17; range 19
- Mean: 84 ÷ 7 = 12
- Ordered: 1, 5, 8, 16, 17, 17, 20 → median 16
- Mode: 17
- Range: 20 − 1 = 19
8.Data: 7, 1, 11, 2, 2, 7. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 5; median 4.5; mode 2 and 7; range 10
- Mean: 30 ÷ 6 = 5
- Ordered: 1, 2, 2, 7, 7, 11 → median 4.5
- Mode: 2 and 7
- Range: 11 − 1 = 10
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.