Year 9 Mean, Median, Mode and Range Worksheet — Level 2 — 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 2 — Practice Set 4 — Answers
Order the data first. Show your working for each measure.
1.Data: 4, 15, 7, 6, 15, 2, 20, 11. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 10; median 9; mode 15; range 18
- Mean: 80 ÷ 8 = 10
- Ordered: 2, 4, 6, 7, 11, 15, 15, 20 → median 9
- Mode: 15
- Range: 20 − 2 = 18
2.Data: 13, 2, 9, 20, 13, 16, 11. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 12; median 13; mode 13; range 18
- Mean: 84 ÷ 7 = 12
- Ordered: 2, 9, 11, 13, 13, 16, 20 → median 13
- Mode: 13
- Range: 20 − 2 = 18
3.Data: 8, 4, 13, 4, 16, 9. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 9; median 8.5; mode 4; range 12
- Mean: 54 ÷ 6 = 9
- Ordered: 4, 4, 8, 9, 13, 16 → median 8.5
- Mode: 4
- Range: 16 − 4 = 12
4.Data: 8, 9, 15, 2, 13, 7, 10, 8. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 9; median 8.5; mode 8; range 13
- Mean: 72 ÷ 8 = 9
- Ordered: 2, 7, 8, 8, 9, 10, 13, 15 → median 8.5
- Mode: 8
- Range: 15 − 2 = 13
5.Data: 15, 3, 18, 18, 11, 1. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 11; median 13; mode 18; range 17
- Mean: 66 ÷ 6 = 11
- Ordered: 1, 3, 11, 15, 18, 18 → median 13
- Mode: 18
- Range: 18 − 1 = 17
6.Data: 7, 10, 1, 20, 13, 3. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 9; median 8.5; mode no mode; range 19
- Mean: 54 ÷ 6 = 9
- Ordered: 1, 3, 7, 10, 13, 20 → median 8.5
- Mode: no mode
- Range: 20 − 1 = 19
7.Data: 2, 3, 18, 3, 9, 3, 7, 11. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 7; median 5; mode 3; range 16
- Mean: 56 ÷ 8 = 7
- Ordered: 2, 3, 3, 3, 7, 9, 11, 18 → median 5
- Mode: 3
- Range: 18 − 2 = 16
8.Data: 18, 16, 1, 15, 7, 17, 17. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 13; median 16; mode 17; range 17
- Mean: 91 ÷ 7 = 13
- Ordered: 1, 7, 15, 16, 17, 17, 18 → median 16
- Mode: 17
- Range: 18 − 1 = 17
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.