Year 9 Mean, Median, Mode and Range Worksheet — Level 3 — Practice Set 3 — 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 3 — Answers
Order the data first. Show your working for each measure.
1.Data: 23, 27, 28, 9, 43, 48, 43. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 31.57; median 28; mode 43; range 39
- Mean: 221 ÷ 7 = 31.57
- Ordered: 9, 23, 27, 28, 43, 43, 48 → median 28
- Mode: 43
- Range: 48 − 9 = 39
2.Data: 35, 31, 4, 3, 47, 2, 6. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 18.29; median 6; mode no mode; range 45
- Mean: 128 ÷ 7 = 18.29
- Ordered: 2, 3, 4, 6, 31, 35, 47 → median 6
- Mode: no mode
- Range: 47 − 2 = 45
3.Data: 40, 17, 19, 15, 37, 34, 2, 46. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 26.25; median 26.5; mode no mode; range 44
- Mean: 210 ÷ 8 = 26.25
- Ordered: 2, 15, 17, 19, 34, 37, 40, 46 → median 26.5
- Mode: no mode
- Range: 46 − 2 = 44
4.Data: 17, 30, 22, 39, 44, 2, 24, 2. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 22.5; median 23; mode 2; range 42
- Mean: 180 ÷ 8 = 22.5
- Ordered: 2, 2, 17, 22, 24, 30, 39, 44 → median 23
- Mode: 2
- Range: 44 − 2 = 42
5.Data: 31, 38, 15, 31, 34, 10, 12. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 24.43; median 31; mode 31; range 28
- Mean: 171 ÷ 7 = 24.43
- Ordered: 10, 12, 15, 31, 31, 34, 38 → median 31
- Mode: 31
- Range: 38 − 10 = 28
6.Data: 15, 3, 36, 16, 16, 11, 18. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 16.43; median 16; mode 16; range 33
- Mean: 115 ÷ 7 = 16.43
- Ordered: 3, 11, 15, 16, 16, 18, 36 → median 16
- Mode: 16
- Range: 36 − 3 = 33
7.Data: 28, 21, 28, 35, 49, 49. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 35; median 31.5; mode 28 and 49; range 28
- Mean: 210 ÷ 6 = 35
- Ordered: 21, 28, 28, 35, 49, 49 → median 31.5
- Mode: 28 and 49
- Range: 49 − 21 = 28
8.Data: 40, 1, 15, 26, 41, 19, 29, 44. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 26.88; median 27.5; mode no mode; range 43
- Mean: 215 ÷ 8 = 26.88
- Ordered: 1, 15, 19, 26, 29, 40, 41, 44 → median 27.5
- Mode: no mode
- Range: 44 − 1 = 43
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.
Great work. Here's what to try next: