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Year 9 Mean, Median, Mode and Range Worksheet — Level 2 — Practice Set 4 — 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 4 — Answers

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

1.Data: 15, 9, 9, 2, 12, 1, 8. Find the (a) mean, (b) median, (c) mode and (d) range.

Answer: mean 8; median 9; mode 9; range 14

  1. Mean: 56 ÷ 7 = 8
  2. Ordered: 1, 2, 8, 9, 9, 12, 15 → median 9
  3. Mode: 9
  4. Range: 15 − 1 = 14
2.Data: 11, 20, 20, 16, 5, 5, 17, 18. Find the (a) mean, (b) median, (c) mode and (d) range.

Answer: mean 14; median 16.5; mode 5 and 20; range 15

  1. Mean: 112 ÷ 8 = 14
  2. Ordered: 5, 5, 11, 16, 17, 18, 20, 20 → median 16.5
  3. Mode: 5 and 20
  4. Range: 20 − 5 = 15
3.Data: 20, 1, 7, 5, 16, 11. Find the (a) mean, (b) median, (c) mode and (d) range.

Answer: mean 10; median 9; mode no mode; range 19

  1. Mean: 60 ÷ 6 = 10
  2. Ordered: 1, 5, 7, 11, 16, 20 → median 9
  3. Mode: no mode
  4. Range: 20 − 1 = 19
4.Data: 9, 18, 16, 11, 10, 11, 9. Find the (a) mean, (b) median, (c) mode and (d) range.

Answer: mean 12; median 11; mode 9 and 11; range 9

  1. Mean: 84 ÷ 7 = 12
  2. Ordered: 9, 9, 10, 11, 11, 16, 18 → median 11
  3. Mode: 9 and 11
  4. Range: 18 − 9 = 9
5.Data: 14, 2, 17, 16, 4, 18, 13. Find the (a) mean, (b) median, (c) mode and (d) range.

Answer: mean 12; median 14; mode no mode; range 16

  1. Mean: 84 ÷ 7 = 12
  2. Ordered: 2, 4, 13, 14, 16, 17, 18 → median 14
  3. Mode: no mode
  4. Range: 18 − 2 = 16
6.Data: 7, 11, 12, 8, 8, 19, 12. Find the (a) mean, (b) median, (c) mode and (d) range.

Answer: mean 11; median 11; mode 8 and 12; range 12

  1. Mean: 77 ÷ 7 = 11
  2. Ordered: 7, 8, 8, 11, 12, 12, 19 → median 11
  3. Mode: 8 and 12
  4. Range: 19 − 7 = 12
7.Data: 14, 19, 7, 19, 20, 11. Find the (a) mean, (b) median, (c) mode and (d) range.

Answer: mean 15; median 16.5; mode 19; range 13

  1. Mean: 90 ÷ 6 = 15
  2. Ordered: 7, 11, 14, 19, 19, 20 → median 16.5
  3. Mode: 19
  4. Range: 20 − 7 = 13
8.Data: 16, 13, 12, 7, 9, 15. Find the (a) mean, (b) median, (c) mode and (d) range.

Answer: mean 12; median 12.5; mode no mode; range 9

  1. Mean: 72 ÷ 6 = 12
  2. Ordered: 7, 9, 12, 13, 15, 16 → median 12.5
  3. Mode: no mode
  4. Range: 16 − 7 = 9
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