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Year 10 Mean, Median, Mode and Range Worksheet — Level 2 — Practice Set 3 — Answers

Answer sheet with worked solutions for the Year 10 mean, median, mode & range worksheet.

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Year 10 Mean, Median, Mode and Range Worksheet — Level 2 — Practice Set 3 — Answers

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

1.Data: 12, 2, 3, 1, 17, 13. Find the (a) mean, (b) median, (c) mode and (d) range.

Answer: mean 8; median 7.5; mode no mode; range 16

  1. Mean: 48 ÷ 6 = 8
  2. Ordered: 1, 2, 3, 12, 13, 17 → median 7.5
  3. Mode: no mode
  4. Range: 17 − 1 = 16
2.Data: 17, 10, 8, 4, 1, 8. Find the (a) mean, (b) median, (c) mode and (d) range.

Answer: mean 8; median 8; mode 8; range 16

  1. Mean: 48 ÷ 6 = 8
  2. Ordered: 1, 4, 8, 8, 10, 17 → median 8
  3. Mode: 8
  4. Range: 17 − 1 = 16
3.Data: 2, 9, 8, 10, 16, 13, 11, 19. Find the (a) mean, (b) median, (c) mode and (d) range.

Answer: mean 11; median 10.5; mode no mode; range 17

  1. Mean: 88 ÷ 8 = 11
  2. Ordered: 2, 8, 9, 10, 11, 13, 16, 19 → median 10.5
  3. Mode: no mode
  4. Range: 19 − 2 = 17
4.Data: 11, 14, 9, 1, 6, 7. Find the (a) mean, (b) median, (c) mode and (d) range.

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

  1. Mean: 48 ÷ 6 = 8
  2. Ordered: 1, 6, 7, 9, 11, 14 → median 8
  3. Mode: no mode
  4. Range: 14 − 1 = 13
5.Data: 16, 5, 16, 9, 13, 19, 20, 6. Find the (a) mean, (b) median, (c) mode and (d) range.

Answer: mean 13; median 14.5; mode 16; range 15

  1. Mean: 104 ÷ 8 = 13
  2. Ordered: 5, 6, 9, 13, 16, 16, 19, 20 → median 14.5
  3. Mode: 16
  4. Range: 20 − 5 = 15
6.Data: 14, 6, 11, 4, 19, 7, 9. Find the (a) mean, (b) median, (c) mode and (d) range.

Answer: mean 10; median 9; mode no mode; range 15

  1. Mean: 70 ÷ 7 = 10
  2. Ordered: 4, 6, 7, 9, 11, 14, 19 → median 9
  3. Mode: no mode
  4. Range: 19 − 4 = 15
7.Data: 2, 12, 3, 11, 3, 11. Find the (a) mean, (b) median, (c) mode and (d) range.

Answer: mean 7; median 7; mode 3 and 11; range 10

  1. Mean: 42 ÷ 6 = 7
  2. Ordered: 2, 3, 3, 11, 11, 12 → median 7
  3. Mode: 3 and 11
  4. Range: 12 − 2 = 10
8.Data: 1, 4, 11, 17, 12, 3. Find the (a) mean, (b) median, (c) mode and (d) range.

Answer: mean 8; median 7.5; mode no mode; range 16

  1. Mean: 48 ÷ 6 = 8
  2. Ordered: 1, 3, 4, 11, 12, 17 → median 7.5
  3. Mode: no mode
  4. Range: 17 − 1 = 16
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