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Year 10 Mean, Median, Mode and Range Worksheet — Level 3 — Answers

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Success TutoringWorksheetsAnswer sheetYear 10 · Mathematics · Mean, Median, Mode & Range

Year 10 Mean, Median, Mode and Range Worksheet — Level 3 — Answers

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

1.Data: 34, 25, 43, 10, 24, 12. Find the (a) mean, (b) median, (c) mode and (d) range.

Answer: mean 24.67; median 24.5; mode no mode; range 33

  1. Mean: 148 ÷ 6 = 24.67
  2. Ordered: 10, 12, 24, 25, 34, 43 → median 24.5
  3. Mode: no mode
  4. Range: 43 − 10 = 33
2.Data: 36, 47, 20, 4, 22, 24, 24, 5. Find the (a) mean, (b) median, (c) mode and (d) range.

Answer: mean 22.75; median 23; mode 24; range 43

  1. Mean: 182 ÷ 8 = 22.75
  2. Ordered: 4, 5, 20, 22, 24, 24, 36, 47 → median 23
  3. Mode: 24
  4. Range: 47 − 4 = 43
3.Data: 44, 43, 17, 26, 18, 38. Find the (a) mean, (b) median, (c) mode and (d) range.

Answer: mean 31; median 32; mode no mode; range 27

  1. Mean: 186 ÷ 6 = 31
  2. Ordered: 17, 18, 26, 38, 43, 44 → median 32
  3. Mode: no mode
  4. Range: 44 − 17 = 27
4.Data: 26, 2, 7, 23, 8, 8, 45, 50. Find the (a) mean, (b) median, (c) mode and (d) range.

Answer: mean 21.13; median 15.5; mode 8; range 48

  1. Mean: 169 ÷ 8 = 21.13
  2. Ordered: 2, 7, 8, 8, 23, 26, 45, 50 → median 15.5
  3. Mode: 8
  4. Range: 50 − 2 = 48
5.Data: 12, 16, 37, 31, 24, 6, 11, 19. Find the (a) mean, (b) median, (c) mode and (d) range.

Answer: mean 19.5; median 17.5; mode no mode; range 31

  1. Mean: 156 ÷ 8 = 19.5
  2. Ordered: 6, 11, 12, 16, 19, 24, 31, 37 → median 17.5
  3. Mode: no mode
  4. Range: 37 − 6 = 31
6.Data: 22, 31, 49, 37, 37, 17. Find the (a) mean, (b) median, (c) mode and (d) range.

Answer: mean 32.17; median 34; mode 37; range 32

  1. Mean: 193 ÷ 6 = 32.17
  2. Ordered: 17, 22, 31, 37, 37, 49 → median 34
  3. Mode: 37
  4. Range: 49 − 17 = 32
7.Data: 9, 48, 23, 41, 41, 50, 1. Find the (a) mean, (b) median, (c) mode and (d) range.

Answer: mean 30.43; median 41; mode 41; range 49

  1. Mean: 213 ÷ 7 = 30.43
  2. Ordered: 1, 9, 23, 41, 41, 48, 50 → median 41
  3. Mode: 41
  4. Range: 50 − 1 = 49
8.Data: 11, 11, 40, 13, 31, 15, 32. Find the (a) mean, (b) median, (c) mode and (d) range.

Answer: mean 21.86; median 15; mode 11; range 29

  1. Mean: 153 ÷ 7 = 21.86
  2. Ordered: 11, 11, 13, 15, 31, 32, 40 → median 15
  3. Mode: 11
  4. Range: 40 − 11 = 29
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