Year 7 Mean, Median, Mode and Range Worksheet — Level 2 — Answers
Answer sheet with worked solutions for the Year 7 mean, median, mode & range worksheet.
Year 7 Mean, Median, Mode and Range Worksheet — Level 2 — Answers
Order the data first. Show your working for each measure.
1.Data: 4, 5, 14, 9, 2, 10, 9, 19. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 9; median 9; mode 9; range 17
- Mean: 72 ÷ 8 = 9
- Ordered: 2, 4, 5, 9, 9, 10, 14, 19 → median 9
- Mode: 9
- Range: 19 − 2 = 17
2.Data: 8, 20, 9, 18, 10, 7. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 12; median 9.5; mode no mode; range 13
- Mean: 72 ÷ 6 = 12
- Ordered: 7, 8, 9, 10, 18, 20 → median 9.5
- Mode: no mode
- Range: 20 − 7 = 13
3.Data: 9, 1, 11, 10, 10, 15, 7. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 9; median 10; mode 10; range 14
- Mean: 63 ÷ 7 = 9
- Ordered: 1, 7, 9, 10, 10, 11, 15 → median 10
- Mode: 10
- Range: 15 − 1 = 14
4.Data: 1, 6, 12, 20, 11, 11, 2, 17. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 10; median 11; mode 11; range 19
- Mean: 80 ÷ 8 = 10
- Ordered: 1, 2, 6, 11, 11, 12, 17, 20 → median 11
- Mode: 11
- Range: 20 − 1 = 19
5.Data: 6, 11, 18, 6, 6, 19. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 11; median 8.5; mode 6; range 13
- Mean: 66 ÷ 6 = 11
- Ordered: 6, 6, 6, 11, 18, 19 → median 8.5
- Mode: 6
- Range: 19 − 6 = 13
6.Data: 20, 18, 12, 19, 6, 8, 11, 2. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 12; median 11.5; mode no mode; range 18
- Mean: 96 ÷ 8 = 12
- Ordered: 2, 6, 8, 11, 12, 18, 19, 20 → median 11.5
- Mode: no mode
- Range: 20 − 2 = 18
7.Data: 14, 7, 15, 3, 11, 18, 18, 18. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 13; median 14.5; mode 18; range 15
- Mean: 104 ÷ 8 = 13
- Ordered: 3, 7, 11, 14, 15, 18, 18, 18 → median 14.5
- Mode: 18
- Range: 18 − 3 = 15
8.Data: 5, 20, 9, 8, 12, 9, 13, 4. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 10; median 9; mode 9; range 16
- Mean: 80 ÷ 8 = 10
- Ordered: 4, 5, 8, 9, 9, 12, 13, 20 → median 9
- Mode: 9
- Range: 20 − 4 = 16
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.