Year 7 Mean, Median, Mode and Range Worksheet — Level 3 — Practice Set 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 3 — Practice Set 2 — Answers
Order the data first. Show your working for each measure.
1.Data: 5, 31, 38, 7, 37, 32, 31, 15. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 24.5; median 31; mode 31; range 33
- Mean: 196 ÷ 8 = 24.5
- Ordered: 5, 7, 15, 31, 31, 32, 37, 38 → median 31
- Mode: 31
- Range: 38 − 5 = 33
2.Data: 33, 17, 47, 4, 27, 12. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 23.33; median 22; mode no mode; range 43
- Mean: 140 ÷ 6 = 23.33
- Ordered: 4, 12, 17, 27, 33, 47 → median 22
- Mode: no mode
- Range: 47 − 4 = 43
3.Data: 15, 2, 16, 29, 19, 4. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 14.17; median 15.5; mode no mode; range 27
- Mean: 85 ÷ 6 = 14.17
- Ordered: 2, 4, 15, 16, 19, 29 → median 15.5
- Mode: no mode
- Range: 29 − 2 = 27
4.Data: 21, 24, 16, 38, 49, 3, 27. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 25.43; median 24; mode no mode; range 46
- Mean: 178 ÷ 7 = 25.43
- Ordered: 3, 16, 21, 24, 27, 38, 49 → median 24
- Mode: no mode
- Range: 49 − 3 = 46
5.Data: 17, 45, 7, 33, 16, 17, 48. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 26.14; median 17; mode 17; range 41
- Mean: 183 ÷ 7 = 26.14
- Ordered: 7, 16, 17, 17, 33, 45, 48 → median 17
- Mode: 17
- Range: 48 − 7 = 41
6.Data: 50, 22, 50, 34, 26, 15. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 32.83; median 30; mode 50; range 35
- Mean: 197 ÷ 6 = 32.83
- Ordered: 15, 22, 26, 34, 50, 50 → median 30
- Mode: 50
- Range: 50 − 15 = 35
7.Data: 45, 15, 22, 20, 20, 36. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 26.33; median 21; mode 20; range 30
- Mean: 158 ÷ 6 = 26.33
- Ordered: 15, 20, 20, 22, 36, 45 → median 21
- Mode: 20
- Range: 45 − 15 = 30
8.Data: 31, 9, 33, 36, 19, 49, 30. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 29.57; median 31; mode no mode; range 40
- Mean: 207 ÷ 7 = 29.57
- Ordered: 9, 19, 30, 31, 33, 36, 49 → median 31
- Mode: no mode
- Range: 49 − 9 = 40
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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