Year 8 Mean, Median, Mode and Range Worksheet — Level 1 — Answers
Answer sheet with worked solutions for the Year 8 mean, median, mode & range worksheet.
Year 8 Mean, Median, Mode and Range Worksheet — Level 1 — Answers
Order the data first. Show your working for each measure.
1.Data: 8, 16, 20, 9, 17. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 14; median 16; mode no mode; range 12
- Mean: 70 ÷ 5 = 14
- Ordered: 8, 9, 16, 17, 20 → median 16
- Mode: no mode
- Range: 20 − 8 = 12
2.Data: 1, 17, 20, 16, 6. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 12; median 16; mode no mode; range 19
- Mean: 60 ÷ 5 = 12
- Ordered: 1, 6, 16, 17, 20 → median 16
- Mode: no mode
- Range: 20 − 1 = 19
3.Data: 4, 5, 2, 17, 17. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 9; median 5; mode 17; range 15
- Mean: 45 ÷ 5 = 9
- Ordered: 2, 4, 5, 17, 17 → median 5
- Mode: 17
- Range: 17 − 2 = 15
4.Data: 17, 6, 8, 3, 6. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 8; median 6; mode 6; range 14
- Mean: 40 ÷ 5 = 8
- Ordered: 3, 6, 6, 8, 17 → median 6
- Mode: 6
- Range: 17 − 3 = 14
5.Data: 7, 9, 18, 15, 6. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 11; median 9; mode no mode; range 12
- Mean: 55 ÷ 5 = 11
- Ordered: 6, 7, 9, 15, 18 → median 9
- Mode: no mode
- Range: 18 − 6 = 12
6.Data: 11, 1, 6, 3, 9. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 6; median 6; mode no mode; range 10
- Mean: 30 ÷ 5 = 6
- Ordered: 1, 3, 6, 9, 11 → median 6
- Mode: no mode
- Range: 11 − 1 = 10
7.Data: 14, 15, 14, 19, 3. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 13; median 14; mode 14; range 16
- Mean: 65 ÷ 5 = 13
- Ordered: 3, 14, 14, 15, 19 → median 14
- Mode: 14
- Range: 19 − 3 = 16
8.Data: 3, 9, 8, 1, 9. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 6; median 8; mode 9; range 8
- Mean: 30 ÷ 5 = 6
- Ordered: 1, 3, 8, 9, 9 → median 8
- Mode: 9
- Range: 9 − 1 = 8
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.