Year 10 Mean, Median, Mode and Range Worksheet — Level 2 — Practice Set 4 — Answers
Answer sheet with worked solutions for the Year 10 mean, median, mode & range worksheet.
Year 10 Mean, Median, Mode and Range Worksheet — Level 2 — Practice Set 4 — Answers
Order the data first. Show your working for each measure.
1.Data: 10, 7, 1, 6, 20, 11, 15. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 10; median 10; mode no mode; range 19
- Mean: 70 ÷ 7 = 10
- Ordered: 1, 6, 7, 10, 11, 15, 20 → median 10
- Mode: no mode
- Range: 20 − 1 = 19
2.Data: 10, 14, 19, 7, 20, 3, 11. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 12; median 11; mode no mode; range 17
- Mean: 84 ÷ 7 = 12
- Ordered: 3, 7, 10, 11, 14, 19, 20 → median 11
- Mode: no mode
- Range: 20 − 3 = 17
3.Data: 8, 15, 5, 8, 4, 16, 2, 14. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 9; median 8; mode 8; range 14
- Mean: 72 ÷ 8 = 9
- Ordered: 2, 4, 5, 8, 8, 14, 15, 16 → median 8
- Mode: 8
- Range: 16 − 2 = 14
4.Data: 6, 6, 9, 9, 16, 8. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 9; median 8.5; mode 6 and 9; range 10
- Mean: 54 ÷ 6 = 9
- Ordered: 6, 6, 8, 9, 9, 16 → median 8.5
- Mode: 6 and 9
- Range: 16 − 6 = 10
5.Data: 15, 12, 16, 17, 9, 16, 11, 8. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 13; median 13.5; mode 16; range 9
- Mean: 104 ÷ 8 = 13
- Ordered: 8, 9, 11, 12, 15, 16, 16, 17 → median 13.5
- Mode: 16
- Range: 17 − 8 = 9
6.Data: 8, 1, 6, 3, 10, 20. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 8; median 7; mode no mode; range 19
- Mean: 48 ÷ 6 = 8
- Ordered: 1, 3, 6, 8, 10, 20 → median 7
- Mode: no mode
- Range: 20 − 1 = 19
7.Data: 6, 2, 10, 4, 19, 11, 18. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 10; median 10; mode no mode; range 17
- Mean: 70 ÷ 7 = 10
- Ordered: 2, 4, 6, 10, 11, 18, 19 → median 10
- Mode: no mode
- Range: 19 − 2 = 17
8.Data: 11, 9, 11, 9, 14, 12. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 11; median 11; mode 9 and 11; range 5
- Mean: 66 ÷ 6 = 11
- Ordered: 9, 9, 11, 11, 12, 14 → median 11
- Mode: 9 and 11
- Range: 14 − 9 = 5
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.