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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: 15, 12, 16, 46, 21, 34, 10. Find the (a) mean, (b) median, (c) mode and (d) range.

Answer: mean 22; median 16; mode no mode; range 36

  1. Mean: 154 ÷ 7 = 22
  2. Ordered: 10, 12, 15, 16, 21, 34, 46 → median 16
  3. Mode: no mode
  4. Range: 46 − 10 = 36
2.Data: 36, 39, 2, 41, 46, 21. Find the (a) mean, (b) median, (c) mode and (d) range.

Answer: mean 30.83; median 37.5; mode no mode; range 44

  1. Mean: 185 ÷ 6 = 30.83
  2. Ordered: 2, 21, 36, 39, 41, 46 → median 37.5
  3. Mode: no mode
  4. Range: 46 − 2 = 44
3.Data: 11, 49, 50, 40, 5, 9. Find the (a) mean, (b) median, (c) mode and (d) range.

Answer: mean 27.33; median 25.5; mode no mode; range 45

  1. Mean: 164 ÷ 6 = 27.33
  2. Ordered: 5, 9, 11, 40, 49, 50 → median 25.5
  3. Mode: no mode
  4. Range: 50 − 5 = 45
4.Data: 48, 27, 38, 4, 13, 50, 29. Find the (a) mean, (b) median, (c) mode and (d) range.

Answer: mean 29.86; median 29; mode no mode; range 46

  1. Mean: 209 ÷ 7 = 29.86
  2. Ordered: 4, 13, 27, 29, 38, 48, 50 → median 29
  3. Mode: no mode
  4. Range: 50 − 4 = 46
5.Data: 26, 36, 23, 5, 29, 29, 41. Find the (a) mean, (b) median, (c) mode and (d) range.

Answer: mean 27; median 29; mode 29; range 36

  1. Mean: 189 ÷ 7 = 27
  2. Ordered: 5, 23, 26, 29, 29, 36, 41 → median 29
  3. Mode: 29
  4. Range: 41 − 5 = 36
6.Data: 42, 19, 33, 49, 6, 19, 8, 34. Find the (a) mean, (b) median, (c) mode and (d) range.

Answer: mean 26.25; median 26; mode 19; range 43

  1. Mean: 210 ÷ 8 = 26.25
  2. Ordered: 6, 8, 19, 19, 33, 34, 42, 49 → median 26
  3. Mode: 19
  4. Range: 49 − 6 = 43
7.Data: 21, 1, 36, 31, 22, 39, 35. Find the (a) mean, (b) median, (c) mode and (d) range.

Answer: mean 26.43; median 31; mode no mode; range 38

  1. Mean: 185 ÷ 7 = 26.43
  2. Ordered: 1, 21, 22, 31, 35, 36, 39 → median 31
  3. Mode: no mode
  4. Range: 39 − 1 = 38
8.Data: 37, 27, 32, 44, 46, 39. Find the (a) mean, (b) median, (c) mode and (d) range.

Answer: mean 37.5; median 38; mode no mode; range 19

  1. Mean: 225 ÷ 6 = 37.5
  2. Ordered: 27, 32, 37, 39, 44, 46 → median 38
  3. Mode: no mode
  4. Range: 46 − 27 = 19
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