Mr. Rogers - AP Statistics Objectives
 Lesson Plan Practice Test
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 z-score 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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