3.4/3.5 Normal Distribution

10 Questions | Total Attempts: 388

SettingsSettingsSettings
Normal Quizzes & Trivia

Questions and Answers
  • 1. 
    In a normal distribution, approximately what percent of data is within two standard deviations of the mean?
    • A. 

      68

    • B. 

      75

    • C. 

      95

    • D. 

      99.7

  • 2. 
    The graph of a normal distribution forms what shape?
    • A. 

      U-shaped

    • B. 

      Mound shaped

    • C. 

      Uniform

    • D. 

      Skewed

  • 3. 
    If X~N(10, 22), then the standard deviation equals
    • A. 

      10

    • B. 

      2

    • C. 

      4

    • D. 

      12

  • 4. 
    Annual rainfall in Coastville is normally distributed with a mean of 60 cm and a standard deviation of 7 cm. For what percent of the years will the annual rainfall be between 53 cm and 60 cm?
    • A. 

      5%

    • B. 

      16%

    • C. 

      34%

    • D. 

      68%

  • 5. 
    For X~N (6, 22) the z-score of x = 4.5 is
  • 6. 
    The z-score corresponding to the 44th percentile is
    • A. 

      -2.62

    • B. 

      -0.15

    • C. 

      0.44

    • D. 

      4.40

  • 7. 
    If X~N(35, 32), what percent of the data are greater than 37? Round to the nearest percent.
  • 8. 
    If X~N(35, 32), what percent of the data are between 30 and 37? Round to the nearest percent.
  • 9. 
    If X~N(35, 32), what percent of the data are less than 29? Round to the nearest percent.
  • 10. 
    To earn a scholarship, Luc needs to score in the 87th percentile on an entrance test. If test marks are normally distributed with a mean of 400 and a standard deviation of 28, what mark (to the nearest whole number) is he aiming for?
Back to Top Back to top