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Year 9 Mean, Median, Mode and Range Worksheet — Level 3 — Answers

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Year 9 · Mathematics · Mean, Median, Mode & Range

Year 9 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: 1, 12, 27, 47, 15, 15, 31. Find the (a) mean, (b) median, (c) mode and (d) range.

Answer: mean 21.14; median 15; mode 15; range 46

  1. Mean: 148 ÷ 7 = 21.14
  2. Ordered: 1, 12, 15, 15, 27, 31, 47 → median 15
  3. Mode: 15
  4. Range: 47 − 1 = 46
2.Data: 47, 47, 35, 38, 42, 9. Find the (a) mean, (b) median, (c) mode and (d) range.

Answer: mean 36.33; median 40; mode 47; range 38

  1. Mean: 218 ÷ 6 = 36.33
  2. Ordered: 9, 35, 38, 42, 47, 47 → median 40
  3. Mode: 47
  4. Range: 47 − 9 = 38
3.Data: 37, 43, 38, 17, 43, 45. Find the (a) mean, (b) median, (c) mode and (d) range.

Answer: mean 37.17; median 40.5; mode 43; range 28

  1. Mean: 223 ÷ 6 = 37.17
  2. Ordered: 17, 37, 38, 43, 43, 45 → median 40.5
  3. Mode: 43
  4. Range: 45 − 17 = 28
4.Data: 34, 9, 13, 28, 35, 9, 9, 49. Find the (a) mean, (b) median, (c) mode and (d) range.

Answer: mean 23.25; median 20.5; mode 9; range 40

  1. Mean: 186 ÷ 8 = 23.25
  2. Ordered: 9, 9, 9, 13, 28, 34, 35, 49 → median 20.5
  3. Mode: 9
  4. Range: 49 − 9 = 40
5.Data: 13, 41, 21, 19, 41, 4, 41, 11. Find the (a) mean, (b) median, (c) mode and (d) range.

Answer: mean 23.88; median 20; mode 41; range 37

  1. Mean: 191 ÷ 8 = 23.88
  2. Ordered: 4, 11, 13, 19, 21, 41, 41, 41 → median 20
  3. Mode: 41
  4. Range: 41 − 4 = 37
6.Data: 33, 32, 21, 16, 1, 7, 24. Find the (a) mean, (b) median, (c) mode and (d) range.

Answer: mean 19.14; median 21; mode no mode; range 32

  1. Mean: 134 ÷ 7 = 19.14
  2. Ordered: 1, 7, 16, 21, 24, 32, 33 → median 21
  3. Mode: no mode
  4. Range: 33 − 1 = 32
7.Data: 30, 38, 49, 17, 18, 49. Find the (a) mean, (b) median, (c) mode and (d) range.

Answer: mean 33.5; median 34; mode 49; range 32

  1. Mean: 201 ÷ 6 = 33.5
  2. Ordered: 17, 18, 30, 38, 49, 49 → median 34
  3. Mode: 49
  4. Range: 49 − 17 = 32
8.Data: 48, 39, 42, 30, 22, 35, 39, 36. Find the (a) mean, (b) median, (c) mode and (d) range.

Answer: mean 36.38; median 37.5; mode 39; range 26

  1. Mean: 291 ÷ 8 = 36.38
  2. Ordered: 22, 30, 35, 36, 39, 39, 42, 48 → median 37.5
  3. Mode: 39
  4. Range: 48 − 22 = 26
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