Year 7 Mean, Median, Mode and Range Worksheet — Level 3 — Practice Set 3 — 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 3 — Answers
Order the data first. Show your working for each measure.
1.Data: 29, 7, 41, 20, 32, 48, 28. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 29.29; median 29; mode no mode; range 41
- Mean: 205 ÷ 7 = 29.29
- Ordered: 7, 20, 28, 29, 32, 41, 48 → median 29
- Mode: no mode
- Range: 48 − 7 = 41
2.Data: 31, 46, 30, 24, 9, 16, 43, 39. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 29.75; median 30.5; mode no mode; range 37
- Mean: 238 ÷ 8 = 29.75
- Ordered: 9, 16, 24, 30, 31, 39, 43, 46 → median 30.5
- Mode: no mode
- Range: 46 − 9 = 37
3.Data: 15, 41, 19, 3, 40, 43. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 26.83; median 29.5; mode no mode; range 40
- Mean: 161 ÷ 6 = 26.83
- Ordered: 3, 15, 19, 40, 41, 43 → median 29.5
- Mode: no mode
- Range: 43 − 3 = 40
4.Data: 44, 16, 8, 45, 11, 14. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 23; median 15; mode no mode; range 37
- Mean: 138 ÷ 6 = 23
- Ordered: 8, 11, 14, 16, 44, 45 → median 15
- Mode: no mode
- Range: 45 − 8 = 37
5.Data: 4, 3, 40, 38, 48, 7, 40, 32. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 26.5; median 35; mode 40; range 45
- Mean: 212 ÷ 8 = 26.5
- Ordered: 3, 4, 7, 32, 38, 40, 40, 48 → median 35
- Mode: 40
- Range: 48 − 3 = 45
6.Data: 31, 47, 39, 3, 8, 40, 9. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 25.29; median 31; mode no mode; range 44
- Mean: 177 ÷ 7 = 25.29
- Ordered: 3, 8, 9, 31, 39, 40, 47 → median 31
- Mode: no mode
- Range: 47 − 3 = 44
7.Data: 50, 25, 46, 47, 38, 46. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 42; median 46; mode 46; range 25
- Mean: 252 ÷ 6 = 42
- Ordered: 25, 38, 46, 46, 47, 50 → median 46
- Mode: 46
- Range: 50 − 25 = 25
8.Data: 4, 42, 5, 50, 43, 4. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 24.67; median 23.5; mode 4; range 46
- Mean: 148 ÷ 6 = 24.67
- Ordered: 4, 4, 5, 42, 43, 50 → median 23.5
- Mode: 4
- Range: 50 − 4 = 46
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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