Year 8 Mean, Median, Mode and Range Worksheet — Level 3 — Answers
Answer sheet with worked solutions for the Year 8 mean, median, mode & range worksheet.
Year 8 · Mathematics · Mean, Median, Mode & Range
Year 8 Mean, Median, Mode and Range Worksheet — Level 3 — Answers
Success Tutoring
Order the data first. Show your working for each measure.
1.Data: 3, 44, 31, 2, 7, 48, 34, 4. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 21.63; median 19; mode no mode; range 46
- Mean: 173 ÷ 8 = 21.63
- Ordered: 2, 3, 4, 7, 31, 34, 44, 48 → median 19
- Mode: no mode
- Range: 48 − 2 = 46
2.Data: 5, 17, 1, 39, 12, 32. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 17.67; median 14.5; mode no mode; range 38
- Mean: 106 ÷ 6 = 17.67
- Ordered: 1, 5, 12, 17, 32, 39 → median 14.5
- Mode: no mode
- Range: 39 − 1 = 38
3.Data: 23, 30, 6, 21, 42, 39, 14. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 25; median 23; mode no mode; range 36
- Mean: 175 ÷ 7 = 25
- Ordered: 6, 14, 21, 23, 30, 39, 42 → median 23
- Mode: no mode
- Range: 42 − 6 = 36
4.Data: 18, 4, 10, 14, 6, 50, 21, 39. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 20.25; median 16; mode no mode; range 46
- Mean: 162 ÷ 8 = 20.25
- Ordered: 4, 6, 10, 14, 18, 21, 39, 50 → median 16
- Mode: no mode
- Range: 50 − 4 = 46
5.Data: 22, 32, 19, 34, 6, 35, 48, 50. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 30.75; median 33; mode no mode; range 44
- Mean: 246 ÷ 8 = 30.75
- Ordered: 6, 19, 22, 32, 34, 35, 48, 50 → median 33
- Mode: no mode
- Range: 50 − 6 = 44
6.Data: 47, 11, 9, 19, 50, 8, 13. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 22.43; median 13; mode no mode; range 42
- Mean: 157 ÷ 7 = 22.43
- Ordered: 8, 9, 11, 13, 19, 47, 50 → median 13
- Mode: no mode
- Range: 50 − 8 = 42
7.Data: 18, 25, 1, 22, 25, 2, 4, 26. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 15.38; median 20; mode 25; range 25
- Mean: 123 ÷ 8 = 15.38
- Ordered: 1, 2, 4, 18, 22, 25, 25, 26 → median 20
- Mode: 25
- Range: 26 − 1 = 25
8.Data: 31, 12, 6, 37, 43, 42, 47. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 31.14; median 37; mode no mode; range 41
- Mean: 218 ÷ 7 = 31.14
- Ordered: 6, 12, 31, 37, 42, 43, 47 → median 37
- Mode: no mode
- Range: 47 − 6 = 41
Marking tips
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