Year 8 Mean, Median, Mode and Range Worksheet — Level 1 — Practice Set 4 — 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 — Practice Set 4 — Answers
Order the data first. Show your working for each measure.
1.Data: 2, 16, 20, 3, 19. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 12; median 16; mode no mode; range 18
- Mean: 60 ÷ 5 = 12
- Ordered: 2, 3, 16, 19, 20 → median 16
- Mode: no mode
- Range: 20 − 2 = 18
2.Data: 4, 11, 1, 3, 16. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 7; median 4; mode no mode; range 15
- Mean: 35 ÷ 5 = 7
- Ordered: 1, 3, 4, 11, 16 → median 4
- Mode: no mode
- Range: 16 − 1 = 15
3.Data: 20, 7, 9, 9, 15. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 12; median 9; mode 9; range 13
- Mean: 60 ÷ 5 = 12
- Ordered: 7, 9, 9, 15, 20 → median 9
- Mode: 9
- Range: 20 − 7 = 13
4.Data: 14, 6, 12, 9, 19. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 12; median 12; mode no mode; range 13
- Mean: 60 ÷ 5 = 12
- Ordered: 6, 9, 12, 14, 19 → median 12
- Mode: no mode
- Range: 19 − 6 = 13
5.Data: 2, 9, 17, 16, 6. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 10; median 9; mode no mode; range 15
- Mean: 50 ÷ 5 = 10
- Ordered: 2, 6, 9, 16, 17 → median 9
- Mode: no mode
- Range: 17 − 2 = 15
6.Data: 11, 19, 14, 20, 16. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 16; median 16; mode no mode; range 9
- Mean: 80 ÷ 5 = 16
- Ordered: 11, 14, 16, 19, 20 → median 16
- Mode: no mode
- Range: 20 − 11 = 9
7.Data: 15, 1, 13, 16, 15. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 12; median 15; mode 15; range 15
- Mean: 60 ÷ 5 = 12
- Ordered: 1, 13, 15, 15, 16 → median 15
- Mode: 15
- Range: 16 − 1 = 15
8.Data: 8, 6, 11, 7, 13. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 9; median 8; mode no mode; range 7
- Mean: 45 ÷ 5 = 9
- Ordered: 6, 7, 8, 11, 13 → median 8
- Mode: no mode
- Range: 13 − 6 = 7
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.