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: 3, 13, 8, 20, 5, 12, 10, 9. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 10; median 9.5; mode no mode; range 17
- Mean: 80 ÷ 8 = 10
- Ordered: 3, 5, 8, 9, 10, 12, 13, 20 → median 9.5
- Mode: no mode
- Range: 20 − 3 = 17
2.Data: 19, 11, 19, 4, 4, 3. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 10; median 7.5; mode 4 and 19; range 16
- Mean: 60 ÷ 6 = 10
- Ordered: 3, 4, 4, 11, 19, 19 → median 7.5
- Mode: 4 and 19
- Range: 19 − 3 = 16
3.Data: 11, 9, 15, 1, 8, 12, 13, 11. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 10; median 11; mode 11; range 14
- Mean: 80 ÷ 8 = 10
- Ordered: 1, 8, 9, 11, 11, 12, 13, 15 → median 11
- Mode: 11
- Range: 15 − 1 = 14
4.Data: 10, 7, 6, 7, 4, 16, 3, 3. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 7; median 6.5; mode 3 and 7; range 13
- Mean: 56 ÷ 8 = 7
- Ordered: 3, 3, 4, 6, 7, 7, 10, 16 → median 6.5
- Mode: 3 and 7
- Range: 16 − 3 = 13
5.Data: 1, 9, 4, 20, 7, 1. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 7; median 5.5; mode 1; range 19
- Mean: 42 ÷ 6 = 7
- Ordered: 1, 1, 4, 7, 9, 20 → median 5.5
- Mode: 1
- Range: 20 − 1 = 19
6.Data: 12, 7, 6, 4, 5, 15, 14. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 9; median 7; mode no mode; range 11
- Mean: 63 ÷ 7 = 9
- Ordered: 4, 5, 6, 7, 12, 14, 15 → median 7
- Mode: no mode
- Range: 15 − 4 = 11
7.Data: 12, 15, 8, 10, 5, 11, 7, 4. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 9; median 9; mode no mode; range 11
- Mean: 72 ÷ 8 = 9
- Ordered: 4, 5, 7, 8, 10, 11, 12, 15 → median 9
- Mode: no mode
- Range: 15 − 4 = 11
8.Data: 19, 14, 20, 7, 20, 12, 13. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 15; median 14; mode 20; range 13
- Mean: 105 ÷ 7 = 15
- Ordered: 7, 12, 13, 14, 19, 20, 20 → median 14
- Mode: 20
- Range: 20 − 7 = 13
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.
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