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Year 9 Mean, Median, Mode and Range Worksheet — Level 2 — Practice Set 3 — Answers

Answer sheet with worked solutions for the Year 9 mean, median, mode & range worksheet.

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Year 9 Mean, Median, Mode and Range Worksheet — Level 2 — Practice Set 3 — Answers

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

1.Data: 13, 3, 4, 13, 9, 18. Find the (a) mean, (b) median, (c) mode and (d) range.

Answer: mean 10; median 11; mode 13; range 15

  1. Mean: 60 ÷ 6 = 10
  2. Ordered: 3, 4, 9, 13, 13, 18 → median 11
  3. Mode: 13
  4. Range: 18 − 3 = 15
2.Data: 15, 20, 5, 1, 20, 17. Find the (a) mean, (b) median, (c) mode and (d) range.

Answer: mean 13; median 16; mode 20; range 19

  1. Mean: 78 ÷ 6 = 13
  2. Ordered: 1, 5, 15, 17, 20, 20 → median 16
  3. Mode: 20
  4. Range: 20 − 1 = 19
3.Data: 3, 12, 14, 16, 13, 8. Find the (a) mean, (b) median, (c) mode and (d) range.

Answer: mean 11; median 12.5; mode no mode; range 13

  1. Mean: 66 ÷ 6 = 11
  2. Ordered: 3, 8, 12, 13, 14, 16 → median 12.5
  3. Mode: no mode
  4. Range: 16 − 3 = 13
4.Data: 8, 13, 13, 3, 2, 3. Find the (a) mean, (b) median, (c) mode and (d) range.

Answer: mean 7; median 5.5; mode 3 and 13; range 11

  1. Mean: 42 ÷ 6 = 7
  2. Ordered: 2, 3, 3, 8, 13, 13 → median 5.5
  3. Mode: 3 and 13
  4. Range: 13 − 2 = 11
5.Data: 18, 16, 14, 13, 13, 10, 14. Find the (a) mean, (b) median, (c) mode and (d) range.

Answer: mean 14; median 14; mode 13 and 14; range 8

  1. Mean: 98 ÷ 7 = 14
  2. Ordered: 10, 13, 13, 14, 14, 16, 18 → median 14
  3. Mode: 13 and 14
  4. Range: 18 − 10 = 8
6.Data: 14, 12, 2, 17, 20, 19. Find the (a) mean, (b) median, (c) mode and (d) range.

Answer: mean 14; median 15.5; mode no mode; range 18

  1. Mean: 84 ÷ 6 = 14
  2. Ordered: 2, 12, 14, 17, 19, 20 → median 15.5
  3. Mode: no mode
  4. Range: 20 − 2 = 18
7.Data: 19, 17, 19, 10, 4, 9. Find the (a) mean, (b) median, (c) mode and (d) range.

Answer: mean 13; median 13.5; mode 19; range 15

  1. Mean: 78 ÷ 6 = 13
  2. Ordered: 4, 9, 10, 17, 19, 19 → median 13.5
  3. Mode: 19
  4. Range: 19 − 4 = 15
8.Data: 12, 16, 4, 19, 20, 1. Find the (a) mean, (b) median, (c) mode and (d) range.

Answer: mean 12; median 14; mode no mode; range 19

  1. Mean: 72 ÷ 6 = 12
  2. Ordered: 1, 4, 12, 16, 19, 20 → median 14
  3. Mode: no mode
  4. Range: 20 − 1 = 19
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