Year 9 Mean, Median, Mode and Range Worksheet — Level 3 — Practice Set 2 — 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 2 — Answers
Order the data first. Show your working for each measure.
1.Data: 40, 37, 47, 8, 49, 5, 42, 47. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 34.38; median 41; mode 47; range 44
- Mean: 275 ÷ 8 = 34.38
- Ordered: 5, 8, 37, 40, 42, 47, 47, 49 → median 41
- Mode: 47
- Range: 49 − 5 = 44
2.Data: 33, 48, 38, 24, 43, 25. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 35.17; median 35.5; mode no mode; range 24
- Mean: 211 ÷ 6 = 35.17
- Ordered: 24, 25, 33, 38, 43, 48 → median 35.5
- Mode: no mode
- Range: 48 − 24 = 24
3.Data: 26, 38, 47, 4, 50, 6, 9, 26. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 25.75; median 26; mode 26; range 46
- Mean: 206 ÷ 8 = 25.75
- Ordered: 4, 6, 9, 26, 26, 38, 47, 50 → median 26
- Mode: 26
- Range: 50 − 4 = 46
4.Data: 23, 11, 36, 9, 29, 13. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 20.17; median 18; mode no mode; range 27
- Mean: 121 ÷ 6 = 20.17
- Ordered: 9, 11, 13, 23, 29, 36 → median 18
- Mode: no mode
- Range: 36 − 9 = 27
5.Data: 40, 23, 47, 36, 40, 49. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 39.17; median 40; mode 40; range 26
- Mean: 235 ÷ 6 = 39.17
- Ordered: 23, 36, 40, 40, 47, 49 → median 40
- Mode: 40
- Range: 49 − 23 = 26
6.Data: 22, 16, 27, 18, 34, 3, 40. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 22.86; median 22; mode no mode; range 37
- Mean: 160 ÷ 7 = 22.86
- Ordered: 3, 16, 18, 22, 27, 34, 40 → median 22
- Mode: no mode
- Range: 40 − 3 = 37
7.Data: 4, 2, 7, 33, 35, 33, 48. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 23.14; median 33; mode 33; range 46
- Mean: 162 ÷ 7 = 23.14
- Ordered: 2, 4, 7, 33, 33, 35, 48 → median 33
- Mode: 33
- Range: 48 − 2 = 46
8.Data: 50, 19, 11, 17, 41, 32. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 28.33; median 25.5; mode no mode; range 39
- Mean: 170 ÷ 6 = 28.33
- Ordered: 11, 17, 19, 32, 41, 50 → median 25.5
- Mode: no mode
- Range: 50 − 11 = 39
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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