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Year 9 Mean, Median, Mode and Range Worksheet — Level 1 — 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 1 — Practice Set 3 — Answers

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

1.Data: 8, 1, 15, 20, 11. Find the (a) mean, (b) median, (c) mode and (d) range.

Answer: mean 11; median 11; mode no mode; range 19

  1. Mean: 55 ÷ 5 = 11
  2. Ordered: 1, 8, 11, 15, 20 → median 11
  3. Mode: no mode
  4. Range: 20 − 1 = 19
2.Data: 5, 9, 10, 16, 5. Find the (a) mean, (b) median, (c) mode and (d) range.

Answer: mean 9; median 9; mode 5; range 11

  1. Mean: 45 ÷ 5 = 9
  2. Ordered: 5, 5, 9, 10, 16 → median 9
  3. Mode: 5
  4. Range: 16 − 5 = 11
3.Data: 1, 20, 8, 19, 12. Find the (a) mean, (b) median, (c) mode and (d) range.

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

  1. Mean: 60 ÷ 5 = 12
  2. Ordered: 1, 8, 12, 19, 20 → median 12
  3. Mode: no mode
  4. Range: 20 − 1 = 19
4.Data: 18, 8, 16, 12, 16. Find the (a) mean, (b) median, (c) mode and (d) range.

Answer: mean 14; median 16; mode 16; range 10

  1. Mean: 70 ÷ 5 = 14
  2. Ordered: 8, 12, 16, 16, 18 → median 16
  3. Mode: 16
  4. Range: 18 − 8 = 10
5.Data: 14, 7, 9, 14, 16. Find the (a) mean, (b) median, (c) mode and (d) range.

Answer: mean 12; median 14; mode 14; range 9

  1. Mean: 60 ÷ 5 = 12
  2. Ordered: 7, 9, 14, 14, 16 → median 14
  3. Mode: 14
  4. Range: 16 − 7 = 9
6.Data: 8, 2, 6, 15, 9. Find the (a) mean, (b) median, (c) mode and (d) range.

Answer: mean 8; median 8; mode no mode; range 13

  1. Mean: 40 ÷ 5 = 8
  2. Ordered: 2, 6, 8, 9, 15 → median 8
  3. Mode: no mode
  4. Range: 15 − 2 = 13
7.Data: 13, 2, 7, 8, 5. Find the (a) mean, (b) median, (c) mode and (d) range.

Answer: mean 7; median 7; mode no mode; range 11

  1. Mean: 35 ÷ 5 = 7
  2. Ordered: 2, 5, 7, 8, 13 → median 7
  3. Mode: no mode
  4. Range: 13 − 2 = 11
8.Data: 14, 7, 2, 18, 19. Find the (a) mean, (b) median, (c) mode and (d) range.

Answer: mean 12; median 14; mode no mode; range 17

  1. Mean: 60 ÷ 5 = 12
  2. Ordered: 2, 7, 14, 18, 19 → median 14
  3. Mode: no mode
  4. Range: 19 − 2 = 17
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