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

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Year 8 · Mathematics · Mean, Median, Mode & Range

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

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

1.Data: 25, 42, 23, 25, 39, 17, 29. Find the (a) mean, (b) median, (c) mode and (d) range.

Answer: mean 28.57; median 25; mode 25; range 25

  1. Mean: 200 ÷ 7 = 28.57
  2. Ordered: 17, 23, 25, 25, 29, 39, 42 → median 25
  3. Mode: 25
  4. Range: 42 − 17 = 25
2.Data: 21, 19, 16, 34, 28, 29. Find the (a) mean, (b) median, (c) mode and (d) range.

Answer: mean 24.5; median 24.5; mode no mode; range 18

  1. Mean: 147 ÷ 6 = 24.5
  2. Ordered: 16, 19, 21, 28, 29, 34 → median 24.5
  3. Mode: no mode
  4. Range: 34 − 16 = 18
3.Data: 32, 17, 7, 29, 3, 9, 31. Find the (a) mean, (b) median, (c) mode and (d) range.

Answer: mean 18.29; median 17; mode no mode; range 29

  1. Mean: 128 ÷ 7 = 18.29
  2. Ordered: 3, 7, 9, 17, 29, 31, 32 → median 17
  3. Mode: no mode
  4. Range: 32 − 3 = 29
4.Data: 39, 14, 1, 4, 24, 22, 4. Find the (a) mean, (b) median, (c) mode and (d) range.

Answer: mean 15.43; median 14; mode 4; range 38

  1. Mean: 108 ÷ 7 = 15.43
  2. Ordered: 1, 4, 4, 14, 22, 24, 39 → median 14
  3. Mode: 4
  4. Range: 39 − 1 = 38
5.Data: 28, 21, 18, 27, 22, 5, 39, 46. Find the (a) mean, (b) median, (c) mode and (d) range.

Answer: mean 25.75; median 24.5; mode no mode; range 41

  1. Mean: 206 ÷ 8 = 25.75
  2. Ordered: 5, 18, 21, 22, 27, 28, 39, 46 → median 24.5
  3. Mode: no mode
  4. Range: 46 − 5 = 41
6.Data: 39, 10, 13, 41, 7, 21. Find the (a) mean, (b) median, (c) mode and (d) range.

Answer: mean 21.83; median 17; mode no mode; range 34

  1. Mean: 131 ÷ 6 = 21.83
  2. Ordered: 7, 10, 13, 21, 39, 41 → median 17
  3. Mode: no mode
  4. Range: 41 − 7 = 34
7.Data: 31, 39, 37, 10, 15, 2. Find the (a) mean, (b) median, (c) mode and (d) range.

Answer: mean 22.33; median 23; mode no mode; range 37

  1. Mean: 134 ÷ 6 = 22.33
  2. Ordered: 2, 10, 15, 31, 37, 39 → median 23
  3. Mode: no mode
  4. Range: 39 − 2 = 37
8.Data: 40, 11, 31, 7, 14, 18. Find the (a) mean, (b) median, (c) mode and (d) range.

Answer: mean 20.17; median 16; mode no mode; range 33

  1. Mean: 121 ÷ 6 = 20.17
  2. Ordered: 7, 11, 14, 18, 31, 40 → median 16
  3. Mode: no mode
  4. Range: 40 − 7 = 33
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