Year 9 Mean, Median, Mode and Range Worksheet — Level 3 — Practice Set 4 — Answers
Answer sheet with worked solutions for the Year 9 mean, median, mode & range worksheet.
Year 9 Mean, Median, Mode and Range Worksheet — Level 3 — Practice Set 4 — Answers
Order the data first. Show your working for each measure.
1.Data: 36, 35, 50, 1, 14, 38, 49. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 31.86; median 36; mode no mode; range 49
- Mean: 223 ÷ 7 = 31.86
- Ordered: 1, 14, 35, 36, 38, 49, 50 → median 36
- Mode: no mode
- Range: 50 − 1 = 49
2.Data: 21, 49, 10, 26, 5, 19. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 21.67; median 20; mode no mode; range 44
- Mean: 130 ÷ 6 = 21.67
- Ordered: 5, 10, 19, 21, 26, 49 → median 20
- Mode: no mode
- Range: 49 − 5 = 44
3.Data: 31, 22, 5, 34, 14, 39, 43. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 26.86; median 31; mode no mode; range 38
- Mean: 188 ÷ 7 = 26.86
- Ordered: 5, 14, 22, 31, 34, 39, 43 → median 31
- Mode: no mode
- Range: 43 − 5 = 38
4.Data: 29, 7, 31, 31, 30, 23, 30, 50. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 28.88; median 30; mode 30 and 31; range 43
- Mean: 231 ÷ 8 = 28.88
- Ordered: 7, 23, 29, 30, 30, 31, 31, 50 → median 30
- Mode: 30 and 31
- Range: 50 − 7 = 43
5.Data: 27, 8, 15, 20, 9, 1, 4, 13. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 12.13; median 11; mode no mode; range 26
- Mean: 97 ÷ 8 = 12.13
- Ordered: 1, 4, 8, 9, 13, 15, 20, 27 → median 11
- Mode: no mode
- Range: 27 − 1 = 26
6.Data: 2, 3, 7, 30, 37, 25, 26, 35. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 20.63; median 25.5; mode no mode; range 35
- Mean: 165 ÷ 8 = 20.63
- Ordered: 2, 3, 7, 25, 26, 30, 35, 37 → median 25.5
- Mode: no mode
- Range: 37 − 2 = 35
7.Data: 30, 21, 28, 31, 27, 39. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 29.33; median 29; mode no mode; range 18
- Mean: 176 ÷ 6 = 29.33
- Ordered: 21, 27, 28, 30, 31, 39 → median 29
- Mode: no mode
- Range: 39 − 21 = 18
8.Data: 35, 5, 49, 48, 27, 39, 14. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 31; median 35; mode no mode; range 44
- Mean: 217 ÷ 7 = 31
- Ordered: 5, 14, 27, 35, 39, 48, 49 → median 35
- Mode: no mode
- Range: 49 − 5 = 44
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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