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Grade 11 · Statistics
Statistics: Spread, Ogives & Box Plots (Grade 11)
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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
    For the box-and-whisker diagram below, write down the five-number summary.
    (2)
    0102030405060minQ₁MQ₃max1224334255
  2. 2
    Calculate the interquartile range from the diagram below.
    (2)
    0102030405060minQ₁MQ₃max1224334255
  3. 3
    Calculate the mean of 12 ; 15 ; 18 ; 18 ; 21 ; 24 ; 27 ; 30 ; 33.
    (2)
  4. 4
    Calculate the standard deviation of 12 ; 15 ; 18 ; 18 ; 21 ; 24 ; 27 ; 30 ; 33.
    (2)
  5. 5
    How many data values lie within one standard deviation of the mean for the data above?
    (2)
  6. 6
    Use the ogive below to estimate the median mark.
    (2)
    102030405051015202530354045markscumulative frequency
  7. 7
    Use the ogive below to write down the total number of learners.
    (2)
    102030405051015202530354045markscumulative frequency
  8. 8
    Determine the outlier boundaries for the box plot below.
    (2)
    0102030405060minQ₁MQ₃max1224334255
TOTAL: 16 marks
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