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Year 8 Mean, Median, Mode and Range Worksheet — Level 1 — Practice Set 3 — Answers

Answer sheet with worked solutions for the Year 8 mean, median, mode & range worksheet.

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Year 8 Mean, Median, Mode and Range Worksheet — Level 1 — Practice Set 3 — Answers

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

1.Data: 13, 20, 15, 4, 13. Find the (a) mean, (b) median, (c) mode and (d) range.

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

  1. Mean: 65 ÷ 5 = 13
  2. Ordered: 4, 13, 13, 15, 20 → median 13
  3. Mode: 13
  4. Range: 20 − 4 = 16
2.Data: 17, 12, 13, 17, 16. Find the (a) mean, (b) median, (c) mode and (d) range.

Answer: mean 15; median 16; mode 17; range 5

  1. Mean: 75 ÷ 5 = 15
  2. Ordered: 12, 13, 16, 17, 17 → median 16
  3. Mode: 17
  4. Range: 17 − 12 = 5
3.Data: 17, 19, 14, 11, 14. Find the (a) mean, (b) median, (c) mode and (d) range.

Answer: mean 15; median 14; mode 14; range 8

  1. Mean: 75 ÷ 5 = 15
  2. Ordered: 11, 14, 14, 17, 19 → median 14
  3. Mode: 14
  4. Range: 19 − 11 = 8
4.Data: 12, 20, 20, 13, 5. Find the (a) mean, (b) median, (c) mode and (d) range.

Answer: mean 14; median 13; mode 20; range 15

  1. Mean: 70 ÷ 5 = 14
  2. Ordered: 5, 12, 13, 20, 20 → median 13
  3. Mode: 20
  4. Range: 20 − 5 = 15
5.Data: 8, 2, 11, 4, 15. 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, 4, 8, 11, 15 → median 8
  3. Mode: no mode
  4. Range: 15 − 2 = 13
6.Data: 6, 3, 10, 3, 3. Find the (a) mean, (b) median, (c) mode and (d) range.

Answer: mean 5; median 3; mode 3; range 7

  1. Mean: 25 ÷ 5 = 5
  2. Ordered: 3, 3, 3, 6, 10 → median 3
  3. Mode: 3
  4. Range: 10 − 3 = 7
7.Data: 3, 6, 2, 3, 11. Find the (a) mean, (b) median, (c) mode and (d) range.

Answer: mean 5; median 3; mode 3; range 9

  1. Mean: 25 ÷ 5 = 5
  2. Ordered: 2, 3, 3, 6, 11 → median 3
  3. Mode: 3
  4. Range: 11 − 2 = 9
8.Data: 16, 12, 14, 3, 20. Find the (a) mean, (b) median, (c) mode and (d) range.

Answer: mean 13; median 14; mode no mode; range 17

  1. Mean: 65 ÷ 5 = 13
  2. Ordered: 3, 12, 14, 16, 20 → median 14
  3. Mode: no mode
  4. Range: 20 − 3 = 17
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