Year 8 Mean, Median, Mode and Range Worksheet — Level 2 — Practice Set 3 — Answers
Answer sheet with worked solutions for the Year 8 mean, median, mode & range worksheet.
Year 8 Mean, Median, Mode and Range Worksheet — Level 2 — Practice Set 3 — Answers
Order the data first. Show your working for each measure.
1.Data: 11, 8, 5, 18, 17, 19. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 13; median 14; mode no mode; range 14
- Mean: 78 ÷ 6 = 13
- Ordered: 5, 8, 11, 17, 18, 19 → median 14
- Mode: no mode
- Range: 19 − 5 = 14
2.Data: 2, 6, 11, 11, 9, 4, 20. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 9; median 9; mode 11; range 18
- Mean: 63 ÷ 7 = 9
- Ordered: 2, 4, 6, 9, 11, 11, 20 → median 9
- Mode: 11
- Range: 20 − 2 = 18
3.Data: 15, 12, 17, 3, 3, 11, 2. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 9; median 11; mode 3; range 15
- Mean: 63 ÷ 7 = 9
- Ordered: 2, 3, 3, 11, 12, 15, 17 → median 11
- Mode: 3
- Range: 17 − 2 = 15
4.Data: 8, 3, 19, 1, 19, 5, 16, 17. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 11; median 12; mode 19; range 18
- Mean: 88 ÷ 8 = 11
- Ordered: 1, 3, 5, 8, 16, 17, 19, 19 → median 12
- Mode: 19
- Range: 19 − 1 = 18
5.Data: 19, 13, 2, 1, 6, 4, 4. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 7; median 4; mode 4; range 18
- Mean: 49 ÷ 7 = 7
- Ordered: 1, 2, 4, 4, 6, 13, 19 → median 4
- Mode: 4
- Range: 19 − 1 = 18
6.Data: 2, 17, 10, 9, 3, 7. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 8; median 8; mode no mode; range 15
- Mean: 48 ÷ 6 = 8
- Ordered: 2, 3, 7, 9, 10, 17 → median 8
- Mode: no mode
- Range: 17 − 2 = 15
7.Data: 4, 3, 13, 3, 15, 20, 3, 11. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 9; median 7.5; mode 3; range 17
- Mean: 72 ÷ 8 = 9
- Ordered: 3, 3, 3, 4, 11, 13, 15, 20 → median 7.5
- Mode: 3
- Range: 20 − 3 = 17
8.Data: 9, 5, 12, 10, 18, 17, 6. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 11; median 10; mode no mode; range 13
- Mean: 77 ÷ 7 = 11
- Ordered: 5, 6, 9, 10, 12, 17, 18 → median 10
- Mode: no mode
- Range: 18 − 5 = 13
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.