Year 10 Mean, Median, Mode and Range Worksheet — Level 1 — 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 1 — Practice Set 4 — Answers
Order the data first. Show your working for each measure.
1.Data: 2, 15, 15, 8, 5. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 9; median 8; mode 15; range 13
- Mean: 45 ÷ 5 = 9
- Ordered: 2, 5, 8, 15, 15 → median 8
- Mode: 15
- Range: 15 − 2 = 13
2.Data: 20, 8, 16, 12, 14. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 14; median 14; mode no mode; range 12
- Mean: 70 ÷ 5 = 14
- Ordered: 8, 12, 14, 16, 20 → median 14
- Mode: no mode
- Range: 20 − 8 = 12
3.Data: 13, 17, 19, 14, 17. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 16; median 17; mode 17; range 6
- Mean: 80 ÷ 5 = 16
- Ordered: 13, 14, 17, 17, 19 → median 17
- Mode: 17
- Range: 19 − 13 = 6
4.Data: 6, 16, 13, 12, 3. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 10; median 12; mode no mode; range 13
- Mean: 50 ÷ 5 = 10
- Ordered: 3, 6, 12, 13, 16 → median 12
- Mode: no mode
- Range: 16 − 3 = 13
5.Data: 3, 8, 8, 16, 10. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 9; median 8; mode 8; range 13
- Mean: 45 ÷ 5 = 9
- Ordered: 3, 8, 8, 10, 16 → median 8
- Mode: 8
- Range: 16 − 3 = 13
6.Data: 5, 3, 3, 13, 11. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 7; median 5; mode 3; range 10
- Mean: 35 ÷ 5 = 7
- Ordered: 3, 3, 5, 11, 13 → median 5
- Mode: 3
- Range: 13 − 3 = 10
7.Data: 17, 5, 1, 15, 12. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 10; median 12; mode no mode; range 16
- Mean: 50 ÷ 5 = 10
- Ordered: 1, 5, 12, 15, 17 → median 12
- Mode: no mode
- Range: 17 − 1 = 16
8.Data: 18, 15, 9, 19, 19. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 16; median 18; mode 19; range 10
- Mean: 80 ÷ 5 = 16
- Ordered: 9, 15, 18, 19, 19 → median 18
- Mode: 19
- Range: 19 − 9 = 10
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.