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: 14, 5, 13, 3, 5, 8, 7, 9. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 8; median 7.5; mode 5; range 11
- Mean: 64 ÷ 8 = 8
- Ordered: 3, 5, 5, 7, 8, 9, 13, 14 → median 7.5
- Mode: 5
- Range: 14 − 3 = 11
2.Data: 16, 9, 16, 4, 5, 11, 16. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 11; median 11; mode 16; range 12
- Mean: 77 ÷ 7 = 11
- Ordered: 4, 5, 9, 11, 16, 16, 16 → median 11
- Mode: 16
- Range: 16 − 4 = 12
3.Data: 13, 8, 4, 13, 5, 7, 11, 11. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 9; median 9.5; mode 11 and 13; range 9
- Mean: 72 ÷ 8 = 9
- Ordered: 4, 5, 7, 8, 11, 11, 13, 13 → median 9.5
- Mode: 11 and 13
- Range: 13 − 4 = 9
4.Data: 8, 7, 9, 12, 11, 7. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 9; median 8.5; mode 7; range 5
- Mean: 54 ÷ 6 = 9
- Ordered: 7, 7, 8, 9, 11, 12 → median 8.5
- Mode: 7
- Range: 12 − 7 = 5
5.Data: 7, 9, 13, 11, 2, 14, 8, 16. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 10; median 10; mode no mode; range 14
- Mean: 80 ÷ 8 = 10
- Ordered: 2, 7, 8, 9, 11, 13, 14, 16 → median 10
- Mode: no mode
- Range: 16 − 2 = 14
6.Data: 9, 19, 18, 17, 17, 13, 19. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 16; median 17; mode 17 and 19; range 10
- Mean: 112 ÷ 7 = 16
- Ordered: 9, 13, 17, 17, 18, 19, 19 → median 17
- Mode: 17 and 19
- Range: 19 − 9 = 10
7.Data: 16, 20, 15, 1, 18, 17, 18. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 15; median 17; mode 18; range 19
- Mean: 105 ÷ 7 = 15
- Ordered: 1, 15, 16, 17, 18, 18, 20 → median 17
- Mode: 18
- Range: 20 − 1 = 19
8.Data: 5, 14, 6, 9, 19, 19, 14, 2. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 11; median 11.5; mode 14 and 19; range 17
- Mean: 88 ÷ 8 = 11
- Ordered: 2, 5, 6, 9, 14, 14, 19, 19 → median 11.5
- Mode: 14 and 19
- Range: 19 − 2 = 17
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.
Great work. Here's what to try next: