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Grade 10 · Statistics
Grouped Data, Percentiles & Modal Interval (Grade 10)
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  / 16

Answer all questions. Show all your working — marks are awarded for method as well as the final answer.

  1. 1
    Write down the midpoint of the interval 20 ≤ x < 30.
    (2)
  2. 2
    Using the table (f = 4, 9, 14, 8, 5 for intervals of width 10 from 0), estimate the mean.
    (2)
  3. 3
    Write down the modal interval for that data.
    (2)
  4. 4
    In which interval does the median lie for that data?
    (2)
  5. 5
    Determine the position of the 25th percentile when n = 40.
    (2)
  6. 6
    Q₁ = 24 and Q₃ = 42. Calculate the interquartile range.
    (2)
  7. 7
    Q₁ = 24 and Q₃ = 42. Calculate the semi-interquartile range.
    (2)
  8. 8
    Why can the mean of grouped data only be estimated?
    (2)
TOTAL: 16 marks
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