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Year 8 Mean, Median, Mode and Range Worksheet — Level 3 — Practice Set 2 — 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 3 — Practice Set 2 — Answers

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

1.Data: 6, 4, 42, 11, 40, 25, 49, 37. Find the (a) mean, (b) median, (c) mode and (d) range.

Answer: mean 26.75; median 31; mode no mode; range 45

  1. Mean: 214 ÷ 8 = 26.75
  2. Ordered: 4, 6, 11, 25, 37, 40, 42, 49 → median 31
  3. Mode: no mode
  4. Range: 49 − 4 = 45
2.Data: 9, 11, 32, 41, 13, 39. Find the (a) mean, (b) median, (c) mode and (d) range.

Answer: mean 24.17; median 22.5; mode no mode; range 32

  1. Mean: 145 ÷ 6 = 24.17
  2. Ordered: 9, 11, 13, 32, 39, 41 → median 22.5
  3. Mode: no mode
  4. Range: 41 − 9 = 32
3.Data: 34, 27, 11, 28, 25, 17, 41, 6. Find the (a) mean, (b) median, (c) mode and (d) range.

Answer: mean 23.63; median 26; mode no mode; range 35

  1. Mean: 189 ÷ 8 = 23.63
  2. Ordered: 6, 11, 17, 25, 27, 28, 34, 41 → median 26
  3. Mode: no mode
  4. Range: 41 − 6 = 35
4.Data: 6, 20, 5, 3, 14, 39. Find the (a) mean, (b) median, (c) mode and (d) range.

Answer: mean 14.5; median 10; mode no mode; range 36

  1. Mean: 87 ÷ 6 = 14.5
  2. Ordered: 3, 5, 6, 14, 20, 39 → median 10
  3. Mode: no mode
  4. Range: 39 − 3 = 36
5.Data: 15, 26, 31, 21, 20, 30, 19. Find the (a) mean, (b) median, (c) mode and (d) range.

Answer: mean 23.14; median 21; mode no mode; range 16

  1. Mean: 162 ÷ 7 = 23.14
  2. Ordered: 15, 19, 20, 21, 26, 30, 31 → median 21
  3. Mode: no mode
  4. Range: 31 − 15 = 16
6.Data: 30, 32, 43, 43, 4, 23, 31. Find the (a) mean, (b) median, (c) mode and (d) range.

Answer: mean 29.43; median 31; mode 43; range 39

  1. Mean: 206 ÷ 7 = 29.43
  2. Ordered: 4, 23, 30, 31, 32, 43, 43 → median 31
  3. Mode: 43
  4. Range: 43 − 4 = 39
7.Data: 36, 35, 31, 2, 16, 50, 17, 50. Find the (a) mean, (b) median, (c) mode and (d) range.

Answer: mean 29.63; median 33; mode 50; range 48

  1. Mean: 237 ÷ 8 = 29.63
  2. Ordered: 2, 16, 17, 31, 35, 36, 50, 50 → median 33
  3. Mode: 50
  4. Range: 50 − 2 = 48
8.Data: 32, 9, 46, 14, 1, 23. Find the (a) mean, (b) median, (c) mode and (d) range.

Answer: mean 20.83; median 18.5; mode no mode; range 45

  1. Mean: 125 ÷ 6 = 20.83
  2. Ordered: 1, 9, 14, 23, 32, 46 → median 18.5
  3. Mode: no mode
  4. Range: 46 − 1 = 45
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