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Year 6 Mean, Median, Mode and Range Worksheet — Level 3 — Answers

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Success TutoringWorksheetsAnswer sheetYear 6 · Mathematics · Mean, Median, Mode & Range

Year 6 Mean, Median, Mode and Range Worksheet — Level 3 — Answers

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

1.Data: 6, 44, 1, 45, 40, 25. Find the (a) mean, (b) median, (c) mode and (d) range.

Answer: mean 26.83; median 32.5; mode no mode; range 44

  1. Mean: 161 ÷ 6 = 26.83
  2. Ordered: 1, 6, 25, 40, 44, 45 → median 32.5
  3. Mode: no mode
  4. Range: 45 − 1 = 44
2.Data: 18, 50, 32, 47, 46, 28, 45. Find the (a) mean, (b) median, (c) mode and (d) range.

Answer: mean 38; median 45; mode no mode; range 32

  1. Mean: 266 ÷ 7 = 38
  2. Ordered: 18, 28, 32, 45, 46, 47, 50 → median 45
  3. Mode: no mode
  4. Range: 50 − 18 = 32
3.Data: 38, 24, 4, 12, 22, 12, 21, 17. Find the (a) mean, (b) median, (c) mode and (d) range.

Answer: mean 18.75; median 19; mode 12; range 34

  1. Mean: 150 ÷ 8 = 18.75
  2. Ordered: 4, 12, 12, 17, 21, 22, 24, 38 → median 19
  3. Mode: 12
  4. Range: 38 − 4 = 34
4.Data: 5, 40, 35, 29, 26, 22, 9, 12. Find the (a) mean, (b) median, (c) mode and (d) range.

Answer: mean 22.25; median 24; mode no mode; range 35

  1. Mean: 178 ÷ 8 = 22.25
  2. Ordered: 5, 9, 12, 22, 26, 29, 35, 40 → median 24
  3. Mode: no mode
  4. Range: 40 − 5 = 35
5.Data: 2, 11, 36, 50, 28, 44, 29, 48. Find the (a) mean, (b) median, (c) mode and (d) range.

Answer: mean 31; median 32.5; mode no mode; range 48

  1. Mean: 248 ÷ 8 = 31
  2. Ordered: 2, 11, 28, 29, 36, 44, 48, 50 → median 32.5
  3. Mode: no mode
  4. Range: 50 − 2 = 48
6.Data: 34, 37, 17, 50, 29, 26, 41. Find the (a) mean, (b) median, (c) mode and (d) range.

Answer: mean 33.43; median 34; mode no mode; range 33

  1. Mean: 234 ÷ 7 = 33.43
  2. Ordered: 17, 26, 29, 34, 37, 41, 50 → median 34
  3. Mode: no mode
  4. Range: 50 − 17 = 33
7.Data: 5, 37, 27, 21, 26, 47. Find the (a) mean, (b) median, (c) mode and (d) range.

Answer: mean 27.17; median 26.5; mode no mode; range 42

  1. Mean: 163 ÷ 6 = 27.17
  2. Ordered: 5, 21, 26, 27, 37, 47 → median 26.5
  3. Mode: no mode
  4. Range: 47 − 5 = 42
8.Data: 13, 31, 45, 37, 4, 21, 11. Find the (a) mean, (b) median, (c) mode and (d) range.

Answer: mean 23.14; median 21; mode no mode; range 41

  1. Mean: 162 ÷ 7 = 23.14
  2. Ordered: 4, 11, 13, 21, 31, 37, 45 → median 21
  3. Mode: no mode
  4. Range: 45 − 4 = 41
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