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

Answer sheet with worked solutions for the Year 6 mean, median, mode & range worksheet.

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

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

1.Data: 34, 30, 44, 21, 22, 43, 4. Find the (a) mean, (b) median, (c) mode and (d) range.

Answer: mean 28.29; median 30; mode no mode; range 40

  1. Mean: 198 ÷ 7 = 28.29
  2. Ordered: 4, 21, 22, 30, 34, 43, 44 → median 30
  3. Mode: no mode
  4. Range: 44 − 4 = 40
2.Data: 40, 50, 50, 48, 37, 9, 10. Find the (a) mean, (b) median, (c) mode and (d) range.

Answer: mean 34.86; median 40; mode 50; range 41

  1. Mean: 244 ÷ 7 = 34.86
  2. Ordered: 9, 10, 37, 40, 48, 50, 50 → median 40
  3. Mode: 50
  4. Range: 50 − 9 = 41
3.Data: 49, 48, 42, 4, 21, 38, 13, 22. Find the (a) mean, (b) median, (c) mode and (d) range.

Answer: mean 29.63; median 30; mode no mode; range 45

  1. Mean: 237 ÷ 8 = 29.63
  2. Ordered: 4, 13, 21, 22, 38, 42, 48, 49 → median 30
  3. Mode: no mode
  4. Range: 49 − 4 = 45
4.Data: 18, 9, 7, 24, 27, 49, 38, 25. Find the (a) mean, (b) median, (c) mode and (d) range.

Answer: mean 24.63; median 24.5; mode no mode; range 42

  1. Mean: 197 ÷ 8 = 24.63
  2. Ordered: 7, 9, 18, 24, 25, 27, 38, 49 → median 24.5
  3. Mode: no mode
  4. Range: 49 − 7 = 42
5.Data: 18, 46, 5, 45, 49, 11, 18. Find the (a) mean, (b) median, (c) mode and (d) range.

Answer: mean 27.43; median 18; mode 18; range 44

  1. Mean: 192 ÷ 7 = 27.43
  2. Ordered: 5, 11, 18, 18, 45, 46, 49 → median 18
  3. Mode: 18
  4. Range: 49 − 5 = 44
6.Data: 17, 26, 15, 23, 24, 2, 1, 10. Find the (a) mean, (b) median, (c) mode and (d) range.

Answer: mean 14.75; median 16; mode no mode; range 25

  1. Mean: 118 ÷ 8 = 14.75
  2. Ordered: 1, 2, 10, 15, 17, 23, 24, 26 → median 16
  3. Mode: no mode
  4. Range: 26 − 1 = 25
7.Data: 32, 4, 32, 7, 37, 22, 25, 40. Find the (a) mean, (b) median, (c) mode and (d) range.

Answer: mean 24.88; median 28.5; mode 32; range 36

  1. Mean: 199 ÷ 8 = 24.88
  2. Ordered: 4, 7, 22, 25, 32, 32, 37, 40 → median 28.5
  3. Mode: 32
  4. Range: 40 − 4 = 36
8.Data: 31, 33, 29, 3, 23, 12, 39, 15. Find the (a) mean, (b) median, (c) mode and (d) range.

Answer: mean 23.13; median 26; mode no mode; range 36

  1. Mean: 185 ÷ 8 = 23.13
  2. Ordered: 3, 12, 15, 23, 29, 31, 33, 39 → median 26
  3. Mode: no mode
  4. Range: 39 − 3 = 36
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