Year 8 Mean, Median, Mode and Range Worksheet — Level 1 — Practice Set 4 — Answers
Answer sheet with worked solutions for the Year 8 mean, median, mode & range worksheet.
Year 8 Mean, Median, Mode and Range Worksheet — Level 1 — Practice Set 4 — Answers
Order the data first. Show your working for each measure.
1.Data: 1, 4, 20, 13, 2. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 8; median 4; mode no mode; range 19
- Mean: 40 ÷ 5 = 8
- Ordered: 1, 2, 4, 13, 20 → median 4
- Mode: no mode
- Range: 20 − 1 = 19
2.Data: 16, 14, 17, 7, 16. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 14; median 16; mode 16; range 10
- Mean: 70 ÷ 5 = 14
- Ordered: 7, 14, 16, 16, 17 → median 16
- Mode: 16
- Range: 17 − 7 = 10
3.Data: 13, 14, 7, 3, 18. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 11; median 13; mode no mode; range 15
- Mean: 55 ÷ 5 = 11
- Ordered: 3, 7, 13, 14, 18 → median 13
- Mode: no mode
- Range: 18 − 3 = 15
4.Data: 7, 18, 17, 3, 5. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 10; median 7; mode no mode; range 15
- Mean: 50 ÷ 5 = 10
- Ordered: 3, 5, 7, 17, 18 → median 7
- Mode: no mode
- Range: 18 − 3 = 15
5.Data: 19, 20, 7, 5, 4. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 11; median 7; mode no mode; range 16
- Mean: 55 ÷ 5 = 11
- Ordered: 4, 5, 7, 19, 20 → median 7
- Mode: no mode
- Range: 20 − 4 = 16
6.Data: 16, 2, 16, 16, 10. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 12; median 16; mode 16; range 14
- Mean: 60 ÷ 5 = 12
- Ordered: 2, 10, 16, 16, 16 → median 16
- Mode: 16
- Range: 16 − 2 = 14
7.Data: 10, 19, 20, 9, 7. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 13; median 10; mode no mode; range 13
- Mean: 65 ÷ 5 = 13
- Ordered: 7, 9, 10, 19, 20 → median 10
- Mode: no mode
- Range: 20 − 7 = 13
8.Data: 14, 1, 3, 6, 1. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 5; median 3; mode 1; range 13
- Mean: 25 ÷ 5 = 5
- Ordered: 1, 1, 3, 6, 14 → median 3
- Mode: 1
- Range: 14 − 1 = 13
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.