Year 8 Mean, Median, Mode and Range Worksheet — Level 2 — 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 — Answers
Order the data first. Show your working for each measure.
1.Data: 15, 9, 11, 12, 9, 4. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 10; median 10; mode 9; range 11
- Mean: 60 ÷ 6 = 10
- Ordered: 4, 9, 9, 11, 12, 15 → median 10
- Mode: 9
- Range: 15 − 4 = 11
2.Data: 3, 7, 2, 12, 19, 20, 12, 5. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 10; median 9.5; mode 12; range 18
- Mean: 80 ÷ 8 = 10
- Ordered: 2, 3, 5, 7, 12, 12, 19, 20 → median 9.5
- Mode: 12
- Range: 20 − 2 = 18
3.Data: 15, 10, 20, 14, 10, 3. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 12; median 12; mode 10; range 17
- Mean: 72 ÷ 6 = 12
- Ordered: 3, 10, 10, 14, 15, 20 → median 12
- Mode: 10
- Range: 20 − 3 = 17
4.Data: 4, 18, 5, 20, 16, 15. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 13; median 15.5; mode no mode; range 16
- Mean: 78 ÷ 6 = 13
- Ordered: 4, 5, 15, 16, 18, 20 → median 15.5
- Mode: no mode
- Range: 20 − 4 = 16
5.Data: 8, 11, 20, 12, 4, 12, 3. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 10; median 11; mode 12; range 17
- Mean: 70 ÷ 7 = 10
- Ordered: 3, 4, 8, 11, 12, 12, 20 → median 11
- Mode: 12
- Range: 20 − 3 = 17
6.Data: 6, 2, 1, 9, 4, 18, 2. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 6; median 4; mode 2; range 17
- Mean: 42 ÷ 7 = 6
- Ordered: 1, 2, 2, 4, 6, 9, 18 → median 4
- Mode: 2
- Range: 18 − 1 = 17
7.Data: 18, 9, 8, 18, 1, 20, 3. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 11; median 9; mode 18; range 19
- Mean: 77 ÷ 7 = 11
- Ordered: 1, 3, 8, 9, 18, 18, 20 → median 9
- Mode: 18
- Range: 20 − 1 = 19
8.Data: 4, 9, 18, 7, 13, 15. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 11; median 11; mode no mode; range 14
- Mean: 66 ÷ 6 = 11
- Ordered: 4, 7, 9, 13, 15, 18 → median 11
- Mode: no mode
- Range: 18 − 4 = 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.