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: 14, 19, 15, 14, 12, 15, 16. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 15; median 15; mode 14 and 15; range 7
- Mean: 105 ÷ 7 = 15
- Ordered: 12, 14, 14, 15, 15, 16, 19 → median 15
- Mode: 14 and 15
- Range: 19 − 12 = 7
2.Data: 5, 2, 5, 13, 7, 2, 8. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 6; median 5; mode 2 and 5; range 11
- Mean: 42 ÷ 7 = 6
- Ordered: 2, 2, 5, 5, 7, 8, 13 → median 5
- Mode: 2 and 5
- Range: 13 − 2 = 11
3.Data: 17, 15, 10, 20, 16, 9, 15, 2. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 13; median 15; mode 15; range 18
- Mean: 104 ÷ 8 = 13
- Ordered: 2, 9, 10, 15, 15, 16, 17, 20 → median 15
- Mode: 15
- Range: 20 − 2 = 18
4.Data: 20, 19, 9, 8, 13, 19, 17. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 15; median 17; mode 19; range 12
- Mean: 105 ÷ 7 = 15
- Ordered: 8, 9, 13, 17, 19, 19, 20 → median 17
- Mode: 19
- Range: 20 − 8 = 12
5.Data: 1, 4, 19, 18, 19, 17, 13. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 13; median 17; mode 19; range 18
- Mean: 91 ÷ 7 = 13
- Ordered: 1, 4, 13, 17, 18, 19, 19 → median 17
- Mode: 19
- Range: 19 − 1 = 18
6.Data: 3, 5, 13, 12, 5, 3, 15. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 8; median 5; mode 3 and 5; range 12
- Mean: 56 ÷ 7 = 8
- Ordered: 3, 3, 5, 5, 12, 13, 15 → median 5
- Mode: 3 and 5
- Range: 15 − 3 = 12
7.Data: 19, 10, 9, 8, 12, 19, 14. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 13; median 12; mode 19; range 11
- Mean: 91 ÷ 7 = 13
- Ordered: 8, 9, 10, 12, 14, 19, 19 → median 12
- Mode: 19
- Range: 19 − 8 = 11
8.Data: 14, 19, 13, 8, 19, 5. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 13; median 13.5; mode 19; range 14
- Mean: 78 ÷ 6 = 13
- Ordered: 5, 8, 13, 14, 19, 19 → median 13.5
- Mode: 19
- Range: 19 − 5 = 14
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.