Mr. Rogers  AP Statistics Objectives

AP Statistics Normal Distribution Chapter 2 Practice Questions  
1  )  What percent of the data is contained within +1 and 2 standard deviations of the mean? 81.5%  
2  )  If the interquartile range of a data set is 200 what is the best estimate of standard deviation? 150  
3  )  If the average verbal SAT score is 500 and the standard deviation is 100, what % of the SAT test takers score above 700? 2.5%  
4  )  The average IQ in the U.S.A. is 100 with a standard deviation of 15 and is roughly normally distributed. What percent of the population has an IQ above 70? 97.5%  
5  )  Using the normal distribution, what is the probability of finding an individual with an IQ between 85 and 145? 83.85%  
___  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? Plus or minus 1 sigma  
8  )  What is the zscore corresponding to Q1 of a box and whiskers plot? 2/3  
9  )  For normally distributed data a normal quantile plot will appear to be ________________. linear  
10  ) 
Draw a box a box and whiskers plot for normally
distributed data.
The plot is
approximately symetrical and each whiskers is about 1.5 times the length of
the box.


11  )  Draw an ogive for a normal distribution.  
12  )  Given the following 5 number summary 2, 3, 7, 11, 12 is the distribution normal? No, the box is wider than the whiskers  
13  )  Given a normal quantile plot, how can you tell if the distribution is normal? The plot will look like a straight line.  
14  )  What is a density curve? A mathematical model of a distribution.  
15  )  What is the difference between pdf and cdf? pdf = height at a point, cdf cumulative area  
16  )  What is the actual range of a normal distribution? infinity  
17  )  What is the estimated range for normally distributed data? 6 sigma  
18  )  Given that IQR = 6, what is the standard deviation. (assume normally distributed data) 4.5  
19  )  Given the following 5 number summary 1, 6, 7, 8, 13 draw an ogive. Is the data normally distributed? Why or why not? answer  
20  )  For normally distributed data the mean = 50 and the standard deviation = 10. Draw an ogive for the data. Find the IQR. answer  
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