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Year 7 Mean, Median, Mode and Range Worksheet — Level 3 — Practice Set 4 — Answers

Answer sheet with worked solutions for the Year 7 mean, median, mode & range worksheet.

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Year 7 Mean, Median, Mode and Range Worksheet — Level 3 — Practice Set 4 — Answers

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

1.Data: 35, 34, 9, 13, 49, 45, 39, 6. Find the (a) mean, (b) median, (c) mode and (d) range.

Answer: mean 28.75; median 34.5; mode no mode; range 43

  1. Mean: 230 ÷ 8 = 28.75
  2. Ordered: 6, 9, 13, 34, 35, 39, 45, 49 → median 34.5
  3. Mode: no mode
  4. Range: 49 − 6 = 43
2.Data: 29, 43, 49, 32, 9, 23, 28. Find the (a) mean, (b) median, (c) mode and (d) range.

Answer: mean 30.43; median 29; mode no mode; range 40

  1. Mean: 213 ÷ 7 = 30.43
  2. Ordered: 9, 23, 28, 29, 32, 43, 49 → median 29
  3. Mode: no mode
  4. Range: 49 − 9 = 40
3.Data: 34, 36, 40, 20, 15, 40, 40. Find the (a) mean, (b) median, (c) mode and (d) range.

Answer: mean 32.14; median 36; mode 40; range 25

  1. Mean: 225 ÷ 7 = 32.14
  2. Ordered: 15, 20, 34, 36, 40, 40, 40 → median 36
  3. Mode: 40
  4. Range: 40 − 15 = 25
4.Data: 10, 2, 38, 43, 29, 16. Find the (a) mean, (b) median, (c) mode and (d) range.

Answer: mean 23; median 22.5; mode no mode; range 41

  1. Mean: 138 ÷ 6 = 23
  2. Ordered: 2, 10, 16, 29, 38, 43 → median 22.5
  3. Mode: no mode
  4. Range: 43 − 2 = 41
5.Data: 9, 12, 15, 24, 21, 28. Find the (a) mean, (b) median, (c) mode and (d) range.

Answer: mean 18.17; median 18; mode no mode; range 19

  1. Mean: 109 ÷ 6 = 18.17
  2. Ordered: 9, 12, 15, 21, 24, 28 → median 18
  3. Mode: no mode
  4. Range: 28 − 9 = 19
6.Data: 30, 21, 4, 34, 45, 29, 39. Find the (a) mean, (b) median, (c) mode and (d) range.

Answer: mean 28.86; median 30; mode no mode; range 41

  1. Mean: 202 ÷ 7 = 28.86
  2. Ordered: 4, 21, 29, 30, 34, 39, 45 → median 30
  3. Mode: no mode
  4. Range: 45 − 4 = 41
7.Data: 38, 15, 25, 16, 43, 20, 48, 3. Find the (a) mean, (b) median, (c) mode and (d) range.

Answer: mean 26; median 22.5; mode no mode; range 45

  1. Mean: 208 ÷ 8 = 26
  2. Ordered: 3, 15, 16, 20, 25, 38, 43, 48 → median 22.5
  3. Mode: no mode
  4. Range: 48 − 3 = 45
8.Data: 9, 43, 30, 4, 47, 27, 31. Find the (a) mean, (b) median, (c) mode and (d) range.

Answer: mean 27.29; median 30; mode no mode; range 43

  1. Mean: 191 ÷ 7 = 27.29
  2. Ordered: 4, 9, 27, 30, 31, 43, 47 → median 30
  3. Mode: no mode
  4. Range: 47 − 4 = 43
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