|  |  | AP Statistics  Normal Distribution Chapter 2 Practice Questions | 
  
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    | 1 | ) | What percent of the data is contained within 
    +1 and -2  standard deviations of the mean? | 
  
    | 2 | ) | If the interquartile range of a data set is 
    200 what is the best estimate of standard deviation? | 
  
    | 3 | ) | If the average verbal SAT score is 500 and the 
    standard deviation is 100, what % of the SAT test takers score above 700? | 
  
    | 4 | ) | Average IQ in the U.S.A. is 100 with a 
    standard deviation of 15 and is  normally distributed. What percent 
    of the population has an IQ above 70? | 
  
    | 5 | ) | Using the normal distribution, what is the 
    probability of finding an individual with an IQ between 85 and 145? | 
  
    | 6 | ) | What is the smallest amount of data contained 
    within plus or minus 3 sigma of the mean, given any distribution? | 
  
    |  |  | a) 34%        b) 68%       c) 75%        d) 
    89%        e) 93% | 
  
    | 7 | ) | Where are the 2 inflection points found on a 
    normal distribution? | 
  
    | 8 | ) | What is the z-score corresponding to Q1 of a 
    box and whiskers plot? | 
  
    | 9 | ) | For normally distributed data a normal 
    quantile plot will appear to be ________________. | 
  
    | 10 | ) | Draw a box an whiskers plot for normally 
    distributed data. | 
  
    | 11 | ) | Draw an ogive for a normal 
    distribution. | 
  
    | 12 | ) | Given the  5 
    number summary  2, 3, 7, 11, 12 is the distribution normal? | 
  
    | 13 | ) | Given a normal quantile 
    plot, how can you tell if the distribution is normal? | 
  
    | 14 | ) | What is a density curve? | 
  
    | 15 | ) | What is the difference 
    between pdf and cdf? | 
  
    | 16 | ) | What is the actual range 
    of a normal distribution? | 
  
    | 17 | ) | What is the estimated 
    range for normally distributed data? | 
  
    | 18 | ) | Given  that IQR = 6, what 
    is the standard deviation. (assume normally distributed data) | 
  
    | 19 | ) | Given the following 5 
    number summary  1, 6, 7, 8, 13 draw an ogive. Is 
    the data normally distributed? Why or why not? | 
  
    | 20 | ) | For normally distributed 
    data the mean = 50 and the standard deviation = 10. Draw an ogive for the 
    data. Find the IQR |