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

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

Success TutoringWorksheetsAnswer sheetYear 8 · Mathematics · Mean, Median, Mode & Range

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

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

1.Data: 14, 5, 13, 3, 5, 8, 7, 9. Find the (a) mean, (b) median, (c) mode and (d) range.

Answer: mean 8; median 7.5; mode 5; range 11

  1. Mean: 64 ÷ 8 = 8
  2. Ordered: 3, 5, 5, 7, 8, 9, 13, 14 → median 7.5
  3. Mode: 5
  4. Range: 14 − 3 = 11
2.Data: 16, 9, 16, 4, 5, 11, 16. Find the (a) mean, (b) median, (c) mode and (d) range.

Answer: mean 11; median 11; mode 16; range 12

  1. Mean: 77 ÷ 7 = 11
  2. Ordered: 4, 5, 9, 11, 16, 16, 16 → median 11
  3. Mode: 16
  4. Range: 16 − 4 = 12
3.Data: 13, 8, 4, 13, 5, 7, 11, 11. Find the (a) mean, (b) median, (c) mode and (d) range.

Answer: mean 9; median 9.5; mode 11 and 13; range 9

  1. Mean: 72 ÷ 8 = 9
  2. Ordered: 4, 5, 7, 8, 11, 11, 13, 13 → median 9.5
  3. Mode: 11 and 13
  4. Range: 13 − 4 = 9
4.Data: 8, 7, 9, 12, 11, 7. Find the (a) mean, (b) median, (c) mode and (d) range.

Answer: mean 9; median 8.5; mode 7; range 5

  1. Mean: 54 ÷ 6 = 9
  2. Ordered: 7, 7, 8, 9, 11, 12 → median 8.5
  3. Mode: 7
  4. Range: 12 − 7 = 5
5.Data: 7, 9, 13, 11, 2, 14, 8, 16. Find the (a) mean, (b) median, (c) mode and (d) range.

Answer: mean 10; median 10; mode no mode; range 14

  1. Mean: 80 ÷ 8 = 10
  2. Ordered: 2, 7, 8, 9, 11, 13, 14, 16 → median 10
  3. Mode: no mode
  4. Range: 16 − 2 = 14
6.Data: 9, 19, 18, 17, 17, 13, 19. Find the (a) mean, (b) median, (c) mode and (d) range.

Answer: mean 16; median 17; mode 17 and 19; range 10

  1. Mean: 112 ÷ 7 = 16
  2. Ordered: 9, 13, 17, 17, 18, 19, 19 → median 17
  3. Mode: 17 and 19
  4. Range: 19 − 9 = 10
7.Data: 16, 20, 15, 1, 18, 17, 18. Find the (a) mean, (b) median, (c) mode and (d) range.

Answer: mean 15; median 17; mode 18; range 19

  1. Mean: 105 ÷ 7 = 15
  2. Ordered: 1, 15, 16, 17, 18, 18, 20 → median 17
  3. Mode: 18
  4. Range: 20 − 1 = 19
8.Data: 5, 14, 6, 9, 19, 19, 14, 2. Find the (a) mean, (b) median, (c) mode and (d) range.

Answer: mean 11; median 11.5; mode 14 and 19; range 17

  1. Mean: 88 ÷ 8 = 11
  2. Ordered: 2, 5, 6, 9, 14, 14, 19, 19 → median 11.5
  3. Mode: 14 and 19
  4. Range: 19 − 2 = 17
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