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AP Statistics 2016-2017
Chapter 2: The Normal Distributions
2.1: Density Curves and the Normal Distribution
2.2: Standard Normal Calculations
"The science of pure mathematics, in its modern developments, may claim to be the most original creation of the human spirit." -(Alfred North Whitehead, 1861-1947)
Eratosthenes (276-194 B.C.): This Greek mathematician calculated the circumference of the earth with an error of less than 2%. The
computational process and reasoning used by Eratosthenes involved simple geometric reasoning that is taught in modern secondary
school geometry classes.
Assignment # 1 (§2.1)
Read pp. 78-83: KNOW:
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M:[9-12-16]
what a mathematical model is
the definition of a density curve is
what a normal curve is
where the mean and the median are for a normal curve
the impact of skewing in the mean and median
Do: p. 83 - 84 # 2.1 - 2.4
Assignment # 2 (§2.1)
Read pp. 85 – 88: KNOW:
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T:[9-13-16]
what a normal distribution looks like
what  and  are
the effect of different sizes of  on the shape of the distribution
where the inflection points are
what the 68-95-99.7 rule is
Do: pp. 89 # 2.6 – 2.7
Assignment # 3 (§2.1)
Read p. 90.
pp. 89 # 2.8 – 2.9
pp. 90 – 92 # 2.11 – 2.15
W:[09-14-16]
Assignment # 4 (§2.2)
Th:[09-15-16]
Read pp. 93 – 95; pp. 96 – 102.
p. 95 # 2.19
pp. 103 – 104 # 2.21 – 2.25
Assignment # 5 (§2.2)
Read pp. 104 - 108
pp. 108 – 109 # 2.26 – 2.27
pp. 109 – 111 # 2.28 – 2.33
F:[09-16-16]
Assignment # 6 (§2.2)
M:[09-19-16]
Read p. 109; p.112
pp. 109 – 111 # 2.34 – 2.36
pp. 113 – 117 # 2.39 – 2.49 odd
Assignment # 7 (§2.1-2.2 Review)
pp. 113 – 117 # 2.38 – 2.54 even
T:[09-20-16]
Assignment # 8 (Practice Test)
Take-home Study Quiz
W:[09-21-16]
Assignment # 9 (Chapter 2 Test)
Th:[09-22-16]
Read and perform p.120/ACTIVITY 3
Key Words, Skills, Terminology and Concepts
Normal Distribution
Density Curve
Mathematical Model
Median and Density
Curve
Mean and Density
Curve
 and 
Inflection Points
68-95-99.7
Empirical Rule
N(  ,  )
Standard Normal
Distribution
Standardizing and
z-scores
Boxplot (Box-whisker
plot)
Standard Normal
Tables
Areas and the Normal
Proportions
Assessing Normality
Normal Probability
Plot
z
x

Usage of the TI-83 – MATH PRB 5:RandInt; RandInt (Low #, High #, # of numbers); STO  ; 2nd ENTER;
Writing a simple program PRGM ; Graphing The Standard Normal Curve - equation & 2nd DISTR DISTR
1:normalpdf( ; Normal Probability Plot; STAT 5: SetUpEditor; 2nd DIST DRAW 1:ShadeNorm (begin x, end x,
mean, std. dev.); 1:ShadeNorm (begin z, end z); 2nd DIST DISTR 2:nomalcdf (begin x, end x, mean, std. dev.) –
finding probability/area with z-values; 2nd DIST DISTR 2:nomalcdf (begin z, end z) - finding probability/area
with z-values; 2nd DIST DISTR 3:invNorm (percentile, mean, std. dev.) - finding an x-value; 2nd DIST DISTR
3:invNorm (percentile) – finding a z-value.
"I have not been in this country very long, but I do know this. For a 16-year old, low-income Hispanic kid growing up in East Los
Angeles, there are a lot of things that are dangerous. Calculus is not one of them." -- (Jaime Escalante)
The Greek Age of Reason extended from roughly 600 B.C. to 300 B.C. There was the realization that humans have intellect, and that
through observation and experimentation, the human mind can discover truths. Mathematics became a useful tool in this discovery
process. Greeks such as Pythagoras, Plato, Aristotle, Euclid, Eratosthenes, Archimedes, and others began to develop this
magnificent academic discipline in their attempts to understand the universe as they knew it.
"The advancement and perfection of mathematics are intimately connected with the prosperity of the state." -(Napoleon Bonaparte, 1769-1821)
Archimedes (c. 287-212 B.C.): Considered one of the greatest mathematicians of all time, he produced a very accurate computation of
pi and was the first to determine the volume of a sphere. He also developed laws of hydrostatics that included mathematical analysis
related to pressure on bodies placed in water.