Year 10 Mean, Median, Mode and Range Worksheet — Level 1 — Answers
Answer sheet with worked solutions for the Year 10 mean, median, mode & range worksheet.
Year 10 Mean, Median, Mode and Range Worksheet — Level 1 — Answers
Order the data first. Show your working for each measure.
1.Data: 6, 11, 6, 20, 2. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 9; median 6; mode 6; range 18
- Mean: 45 ÷ 5 = 9
- Ordered: 2, 6, 6, 11, 20 → median 6
- Mode: 6
- Range: 20 − 2 = 18
2.Data: 8, 19, 12, 8, 18. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 13; median 12; mode 8; range 11
- Mean: 65 ÷ 5 = 13
- Ordered: 8, 8, 12, 18, 19 → median 12
- Mode: 8
- Range: 19 − 8 = 11
3.Data: 7, 10, 4, 20, 19. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 12; median 10; mode no mode; range 16
- Mean: 60 ÷ 5 = 12
- Ordered: 4, 7, 10, 19, 20 → median 10
- Mode: no mode
- Range: 20 − 4 = 16
4.Data: 20, 7, 15, 17, 11. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 14; median 15; mode no mode; range 13
- Mean: 70 ÷ 5 = 14
- Ordered: 7, 11, 15, 17, 20 → median 15
- Mode: no mode
- Range: 20 − 7 = 13
5.Data: 16, 4, 8, 3, 14. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 9; median 8; mode no mode; range 13
- Mean: 45 ÷ 5 = 9
- Ordered: 3, 4, 8, 14, 16 → median 8
- Mode: no mode
- Range: 16 − 3 = 13
6.Data: 7, 5, 15, 18, 10. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 11; median 10; mode no mode; range 13
- Mean: 55 ÷ 5 = 11
- Ordered: 5, 7, 10, 15, 18 → median 10
- Mode: no mode
- Range: 18 − 5 = 13
7.Data: 20, 18, 8, 6, 8. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 12; median 8; mode 8; range 14
- Mean: 60 ÷ 5 = 12
- Ordered: 6, 8, 8, 18, 20 → median 8
- Mode: 8
- Range: 20 − 6 = 14
8.Data: 3, 1, 3, 12, 16. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 7; median 3; mode 3; range 15
- Mean: 35 ÷ 5 = 7
- Ordered: 1, 3, 3, 12, 16 → median 3
- Mode: 3
- Range: 16 − 1 = 15
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.