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Year 7 Mathematics · Mean, median, mode and range

Name: ______________________

Date: ____________

  1. 1. What is the mean of 6, 8 and 10?

    • ☐ (a) 6
    • ☐ (b) 10
    • ☐ (c) 8
    • ☐ (d) 24

  2. 2. What is the median of 3, 9, 4, 7 and 2?

    • ☐ (a) 4
    • ☐ (b) 7
    • ☐ (c) 5
    • ☐ (d) 3

  3. 3. What is the mode of 1, 4, 4, 6, 7, 7, 7, 9?

    • ☐ (a) 4
    • ☐ (b) 6
    • ☐ (c) 9
    • ☐ (d) 7

  4. 4. What is the range of 15, 22, 9, 30 and 18?

    • ☐ (a) 15
    • ☐ (b) 21
    • ☐ (c) 30
    • ☐ (d) 9

  5. 5. The maximum temperatures in Darwin over five days were 31 °C, 33 °C, 32 °C, 34 °C and 30 °C. What was the mean maximum temperature in degrees Celsius?

  6. 6. What is the median of 5, 1, 8 and 3?

  7. 7. The mean of four test scores is 15. What is the total of the four scores?

  8. 8. The ages of five cousins are 9, 11, 12, 12 and 16. What is the range of their ages in years?

Answer sheet

  1. 1. 8 — 6 + 8 + 10 = 24, and 24 ÷ 3 = 8.
  2. 2. 4 — In order the values are 2, 3, 4, 7, 9. The middle value is 4.
  3. 3. 7 — 7 appears three times, which is more than any other value.
  4. 4. 21 — Highest − lowest = 30 − 9 = 21.
  5. 5. 32 °C — 31 + 33 + 32 + 34 + 30 = 160, and 160 ÷ 5 = 32.
  6. 6. 4 — In order: 1, 3, 5, 8. The two middle values are 3 and 5, and (3 + 5) ÷ 2 = 4.
  7. 7. 60 — Mean = total ÷ number of values, so total = mean × number of values = 15 × 4 = 60.
  8. 8. 7 — Range = oldest − youngest = 16 − 9 = 7 years.

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