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Year 8 Mean, Median, Mode and Range Worksheet — Level 2 — Practice Set 4 — Answers

Answer sheet with worked solutions for the Year 8 mean, median, mode & range worksheet.

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Year 8 Mean, Median, Mode and Range Worksheet — Level 2 — Practice Set 4 — Answers

Order the data first. Show your working for each measure.

1.Data: 6, 16, 8, 11, 9, 8, 5. Find the (a) mean, (b) median, (c) mode and (d) range.

Answer: mean 9; median 8; mode 8; range 11

  1. Mean: 63 ÷ 7 = 9
  2. Ordered: 5, 6, 8, 8, 9, 11, 16 → median 8
  3. Mode: 8
  4. Range: 16 − 5 = 11
2.Data: 11, 3, 2, 16, 8, 8, 8. Find the (a) mean, (b) median, (c) mode and (d) range.

Answer: mean 8; median 8; mode 8; range 14

  1. Mean: 56 ÷ 7 = 8
  2. Ordered: 2, 3, 8, 8, 8, 11, 16 → median 8
  3. Mode: 8
  4. Range: 16 − 2 = 14
3.Data: 15, 2, 6, 13, 13, 11. Find the (a) mean, (b) median, (c) mode and (d) range.

Answer: mean 10; median 12; mode 13; range 13

  1. Mean: 60 ÷ 6 = 10
  2. Ordered: 2, 6, 11, 13, 13, 15 → median 12
  3. Mode: 13
  4. Range: 15 − 2 = 13
4.Data: 14, 14, 13, 15, 17, 13, 12. Find the (a) mean, (b) median, (c) mode and (d) range.

Answer: mean 14; median 14; mode 13 and 14; range 5

  1. Mean: 98 ÷ 7 = 14
  2. Ordered: 12, 13, 13, 14, 14, 15, 17 → median 14
  3. Mode: 13 and 14
  4. Range: 17 − 12 = 5
5.Data: 1, 12, 5, 1, 13, 12, 6, 14. Find the (a) mean, (b) median, (c) mode and (d) range.

Answer: mean 8; median 9; mode 1 and 12; range 13

  1. Mean: 64 ÷ 8 = 8
  2. Ordered: 1, 1, 5, 6, 12, 12, 13, 14 → median 9
  3. Mode: 1 and 12
  4. Range: 14 − 1 = 13
6.Data: 6, 8, 3, 4, 2, 7. Find the (a) mean, (b) median, (c) mode and (d) range.

Answer: mean 5; median 5; mode no mode; range 6

  1. Mean: 30 ÷ 6 = 5
  2. Ordered: 2, 3, 4, 6, 7, 8 → median 5
  3. Mode: no mode
  4. Range: 8 − 2 = 6
7.Data: 12, 12, 9, 14, 10, 15, 5. Find the (a) mean, (b) median, (c) mode and (d) range.

Answer: mean 11; median 12; mode 12; range 10

  1. Mean: 77 ÷ 7 = 11
  2. Ordered: 5, 9, 10, 12, 12, 14, 15 → median 12
  3. Mode: 12
  4. Range: 15 − 5 = 10
8.Data: 9, 6, 10, 20, 2, 13. Find the (a) mean, (b) median, (c) mode and (d) range.

Answer: mean 10; median 9.5; mode no mode; range 18

  1. Mean: 60 ÷ 6 = 10
  2. Ordered: 2, 6, 9, 10, 13, 20 → median 9.5
  3. Mode: no mode
  4. Range: 20 − 2 = 18
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