Year 7 Mean, Median, Mode and Range Worksheet — Level 3 — Practice Set 4 — 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 4 — Answers
Order the data first. Show your working for each measure.
1.Data: 13, 8, 22, 47, 28, 4, 48. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 24.29; median 22; mode no mode; range 44
- Mean: 170 ÷ 7 = 24.29
- Ordered: 4, 8, 13, 22, 28, 47, 48 → median 22
- Mode: no mode
- Range: 48 − 4 = 44
2.Data: 15, 44, 7, 16, 33, 32, 27, 9. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 22.88; median 21.5; mode no mode; range 37
- Mean: 183 ÷ 8 = 22.88
- Ordered: 7, 9, 15, 16, 27, 32, 33, 44 → median 21.5
- Mode: no mode
- Range: 44 − 7 = 37
3.Data: 31, 14, 22, 16, 2, 6, 23. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 16.29; median 16; mode no mode; range 29
- Mean: 114 ÷ 7 = 16.29
- Ordered: 2, 6, 14, 16, 22, 23, 31 → median 16
- Mode: no mode
- Range: 31 − 2 = 29
4.Data: 28, 1, 38, 43, 10, 39, 30, 21. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 26.25; median 29; mode no mode; range 42
- Mean: 210 ÷ 8 = 26.25
- Ordered: 1, 10, 21, 28, 30, 38, 39, 43 → median 29
- Mode: no mode
- Range: 43 − 1 = 42
5.Data: 11, 3, 39, 46, 7, 34, 7. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 21; median 11; mode 7; range 43
- Mean: 147 ÷ 7 = 21
- Ordered: 3, 7, 7, 11, 34, 39, 46 → median 11
- Mode: 7
- Range: 46 − 3 = 43
6.Data: 22, 4, 22, 13, 3, 8. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 12; median 10.5; mode 22; range 19
- Mean: 72 ÷ 6 = 12
- Ordered: 3, 4, 8, 13, 22, 22 → median 10.5
- Mode: 22
- Range: 22 − 3 = 19
7.Data: 39, 37, 39, 24, 43, 5, 43, 23. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 31.63; median 38; mode 39 and 43; range 38
- Mean: 253 ÷ 8 = 31.63
- Ordered: 5, 23, 24, 37, 39, 39, 43, 43 → median 38
- Mode: 39 and 43
- Range: 43 − 5 = 38
8.Data: 23, 21, 3, 34, 45, 4, 28. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 22.57; median 23; mode no mode; range 42
- Mean: 158 ÷ 7 = 22.57
- Ordered: 3, 4, 21, 23, 28, 34, 45 → median 23
- Mode: no mode
- Range: 45 − 3 = 42
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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