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: 13, 31, 9, 7, 22, 50, 33, 2. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 20.88; median 17.5; mode no mode; range 48
- Mean: 167 ÷ 8 = 20.88
- Ordered: 2, 7, 9, 13, 22, 31, 33, 50 → median 17.5
- Mode: no mode
- Range: 50 − 2 = 48
2.Data: 20, 12, 4, 7, 31, 31, 45. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 21.43; median 20; mode 31; range 41
- Mean: 150 ÷ 7 = 21.43
- Ordered: 4, 7, 12, 20, 31, 31, 45 → median 20
- Mode: 31
- Range: 45 − 4 = 41
3.Data: 40, 38, 9, 31, 5, 28, 20. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 24.43; median 28; mode no mode; range 35
- Mean: 171 ÷ 7 = 24.43
- Ordered: 5, 9, 20, 28, 31, 38, 40 → median 28
- Mode: no mode
- Range: 40 − 5 = 35
4.Data: 33, 45, 3, 11, 21, 35, 24. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 24.57; median 24; mode no mode; range 42
- Mean: 172 ÷ 7 = 24.57
- Ordered: 3, 11, 21, 24, 33, 35, 45 → median 24
- Mode: no mode
- Range: 45 − 3 = 42
5.Data: 32, 46, 50, 19, 15, 17, 10, 21. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 26.25; median 20; mode no mode; range 40
- Mean: 210 ÷ 8 = 26.25
- Ordered: 10, 15, 17, 19, 21, 32, 46, 50 → median 20
- Mode: no mode
- Range: 50 − 10 = 40
6.Data: 21, 39, 43, 38, 47, 3. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 31.83; median 38.5; mode no mode; range 44
- Mean: 191 ÷ 6 = 31.83
- Ordered: 3, 21, 38, 39, 43, 47 → median 38.5
- Mode: no mode
- Range: 47 − 3 = 44
7.Data: 1, 30, 17, 10, 27, 33, 10, 29. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 19.63; median 22; mode 10; range 32
- Mean: 157 ÷ 8 = 19.63
- Ordered: 1, 10, 10, 17, 27, 29, 30, 33 → median 22
- Mode: 10
- Range: 33 − 1 = 32
8.Data: 18, 18, 42, 26, 41, 28, 47, 29. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 31.13; median 28.5; mode 18; range 29
- Mean: 249 ÷ 8 = 31.13
- Ordered: 18, 18, 26, 28, 29, 41, 42, 47 → median 28.5
- Mode: 18
- Range: 47 − 18 = 29
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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