Mathematics

Home > Mathematics > General Mathematics > HSC Course > Data Analysis > DA6: The normal distribution > Quick quiz: A sample of multiple choice questions for this topic.

DA6

  1. Lesley's results in her Trial HSC are shown
     
    Subject Mean S.D. Lesley
    English
    55
    8
    71
    Food Technology
    50
    9
    70
    Music
    65
    10
    60

     
    In which subject did Lesley score her best result.
     
    • Positive correlation.
    • Negative correlation.
    • No correlation.
    answer

     
  2. A normal distribution of scores has a mean of 55 and a standard deviation of 7.
    What percentage of the scores lies between 41 and 69?
     
    • 68%
    • 95%
    • 99.7%
    answer

     
  3. A set of scores has a mean of 45 and a standard deviation of 6.
    Which mark corresponds to a z-score of –2?
     
    • 57
    • 42
    • 33
    answer

     
  4. A set of scores has a mean of 60 and a standard deviation of 12.
    Which z-score corresponds to a score of 84?
     
    • 2
    • -2
    • 24
    answer

     
  5. A set of scores has a mean of 70 and a standard deviation of 9. Within what limits will the scores almost certainly lie.
     
    • 61 - 79
    • 52 - 88
    • 43 - 97
    answer

     

Answers

  1. Food Technology
     
  2. 95%
     
  3. 33
     
  4. 2
     
  5. 43 - 97
     

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