Year 10 Mean, Median, Mode and Range Worksheet — Level 2 — Practice Set 2 — Answers
Answer sheet with worked solutions for the Year 10 mean, median, mode & range worksheet.
Year 10 Mean, Median, Mode and Range Worksheet — Level 2 — Practice Set 2 — Answers
Order the data first. Show your working for each measure.
1.Data: 17, 3, 5, 2, 8, 19. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 9; median 6.5; mode no mode; range 17
- Mean: 54 ÷ 6 = 9
- Ordered: 2, 3, 5, 8, 17, 19 → median 6.5
- Mode: no mode
- Range: 19 − 2 = 17
2.Data: 10, 9, 4, 12, 13, 6, 19, 7. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 10; median 9.5; mode no mode; range 15
- Mean: 80 ÷ 8 = 10
- Ordered: 4, 6, 7, 9, 10, 12, 13, 19 → median 9.5
- Mode: no mode
- Range: 19 − 4 = 15
3.Data: 20, 9, 2, 15, 4, 8, 3, 3. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 8; median 6; mode 3; range 18
- Mean: 64 ÷ 8 = 8
- Ordered: 2, 3, 3, 4, 8, 9, 15, 20 → median 6
- Mode: 3
- Range: 20 − 2 = 18
4.Data: 7, 8, 9, 12, 13, 17. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 11; median 10.5; mode no mode; range 10
- Mean: 66 ÷ 6 = 11
- Ordered: 7, 8, 9, 12, 13, 17 → median 10.5
- Mode: no mode
- Range: 17 − 7 = 10
5.Data: 3, 13, 14, 1, 8, 13, 11. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 9; median 11; mode 13; range 13
- Mean: 63 ÷ 7 = 9
- Ordered: 1, 3, 8, 11, 13, 13, 14 → median 11
- Mode: 13
- Range: 14 − 1 = 13
6.Data: 15, 13, 6, 15, 18, 12, 5. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 12; median 13; mode 15; range 13
- Mean: 84 ÷ 7 = 12
- Ordered: 5, 6, 12, 13, 15, 15, 18 → median 13
- Mode: 15
- Range: 18 − 5 = 13
7.Data: 1, 19, 9, 8, 2, 15, 9. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 9; median 9; mode 9; range 18
- Mean: 63 ÷ 7 = 9
- Ordered: 1, 2, 8, 9, 9, 15, 19 → median 9
- Mode: 9
- Range: 19 − 1 = 18
8.Data: 13, 2, 10, 2, 13, 20. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 10; median 11.5; mode 2 and 13; range 18
- Mean: 60 ÷ 6 = 10
- Ordered: 2, 2, 10, 13, 13, 20 → median 11.5
- Mode: 2 and 13
- Range: 20 − 2 = 18
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.