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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: 28, 31, 36, 21, 9, 4, 47. Find the (a) mean, (b) median, (c) mode and (d) range.

Answer: mean 25.14; median 28; mode no mode; range 43

  1. Mean: 176 ÷ 7 = 25.14
  2. Ordered: 4, 9, 21, 28, 31, 36, 47 → median 28
  3. Mode: no mode
  4. Range: 47 − 4 = 43
2.Data: 28, 36, 45, 36, 19, 32. Find the (a) mean, (b) median, (c) mode and (d) range.

Answer: mean 32.67; median 34; mode 36; range 26

  1. Mean: 196 ÷ 6 = 32.67
  2. Ordered: 19, 28, 32, 36, 36, 45 → median 34
  3. Mode: 36
  4. Range: 45 − 19 = 26
3.Data: 36, 11, 38, 48, 30, 39, 3, 45. Find the (a) mean, (b) median, (c) mode and (d) range.

Answer: mean 31.25; median 37; mode no mode; range 45

  1. Mean: 250 ÷ 8 = 31.25
  2. Ordered: 3, 11, 30, 36, 38, 39, 45, 48 → median 37
  3. Mode: no mode
  4. Range: 48 − 3 = 45
4.Data: 23, 13, 21, 34, 42, 5. Find the (a) mean, (b) median, (c) mode and (d) range.

Answer: mean 23; median 22; mode no mode; range 37

  1. Mean: 138 ÷ 6 = 23
  2. Ordered: 5, 13, 21, 23, 34, 42 → median 22
  3. Mode: no mode
  4. Range: 42 − 5 = 37
5.Data: 3, 50, 29, 26, 21, 16, 12, 9. Find the (a) mean, (b) median, (c) mode and (d) range.

Answer: mean 20.75; median 18.5; mode no mode; range 47

  1. Mean: 166 ÷ 8 = 20.75
  2. Ordered: 3, 9, 12, 16, 21, 26, 29, 50 → median 18.5
  3. Mode: no mode
  4. Range: 50 − 3 = 47
6.Data: 23, 40, 33, 28, 24, 40, 47. Find the (a) mean, (b) median, (c) mode and (d) range.

Answer: mean 33.57; median 33; mode 40; range 24

  1. Mean: 235 ÷ 7 = 33.57
  2. Ordered: 23, 24, 28, 33, 40, 40, 47 → median 33
  3. Mode: 40
  4. Range: 47 − 23 = 24
7.Data: 12, 37, 14, 21, 32, 7. Find the (a) mean, (b) median, (c) mode and (d) range.

Answer: mean 20.5; median 17.5; mode no mode; range 30

  1. Mean: 123 ÷ 6 = 20.5
  2. Ordered: 7, 12, 14, 21, 32, 37 → median 17.5
  3. Mode: no mode
  4. Range: 37 − 7 = 30
8.Data: 18, 17, 12, 6, 15, 28, 13, 39. Find the (a) mean, (b) median, (c) mode and (d) range.

Answer: mean 18.5; median 16; mode no mode; range 33

  1. Mean: 148 ÷ 8 = 18.5
  2. Ordered: 6, 12, 13, 15, 17, 18, 28, 39 → median 16
  3. Mode: no mode
  4. Range: 39 − 6 = 33
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