AP STATISTICS: Ms Jetmore 2015

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AP STATISTICS: Ms Jetmore 2015-2016
Syllabus Chapter 2: Modeling Distributions of Data
Day
F Sep 11
Topic
Chapter 2 Introduction, Sec 2.1 - Describing Location in
a Distribution, Measuring Position: Percentiles;
Cumulative Relative Frequency Graphs
Homework
p. 105; 1, 5, 7, 9
Read/notes p. 89-91
M Sep 14
Sec 2.1 – Measuring Position: z-scores
Transforming Data; Density Curves
p. 106; 11, 13, 15, 17
Read/notes p. 92-98
T Sep 15
Sec 2.1 – Transforming Data
p. 107; 19, 21, 23
Read/notes p. 99-104
W Sep 16
Sec 2.1 – Density Curves
p. 108; 27, 29, 31, 33-38
Review p. 89-104
R Sep 17
NO SCHOOL – Teacher Work Day
Study your stats!
F Sep 18
Quiz 2.1 This is not a take home quiz!
Read/notes p. 110-114
M Sep 21
Sec 2.2 – Normal Distributions
The 68-95-99.7 Rule
p. 131; 41, 43, 45, 46
Read/notes p. 115-124
T Sep 22
Sec 2.2 – The Standard Normal Distribution
Normal Distribution Calculations
p. 131; 47, 49, 51
W Sep 23
Sec 2.2 – The Standard Normal Distribution
Normal Distribution Calculations
p. 132; 53, 55, 57, 59
Read/notes p. 124-130
R Sep24
Sec 2.2 – Normal Distributions
Assessing Normality
p. 133; 61, 63, 65, 66, 68-74
Review p. 84-130
F Sep 25
Chapter 2 Review – Review problems
Ch 2 Review p. 136; 1-12
M Sep 28
Chapter 2 Review FRAPPY, Notecard due
(Optional but recommended)
Ch 2 TEST p. 78; 1-15
T Sep 29
Chapter 2 TEST
Tutoring is available most mornings 7:30-8:00am and after school Wednesday 3:45-4:30
Additional assistance is available at: rhsjetmoremath.pbworks.com
Chapter Objectives
Section 2.1 – Describing Location in a Distribution
 Use percentiles to locate individual values within distributions of data.
 Interpret a cumulative relative frequency graph.
 Find the standardized value (z-score) of an observation. Interpret z-scores in context.
 Describe the effect of adding, subtracting, multiplying by, or dividing by a constant on the shape, center,
and spread of a distribution of data.
 Approximately locate the median (equal-areas point) and the mean (balance point) on a density curve.
Section 2.2 – Normal Distributions
 Use the 68-95-99.7 rule to estimate the percent of observations from a Normal distribution that fall in an
interval involving points one, two, or three standard deviations on either side of the mean.
 Use the standard Normal distribution to calculate the proportion of values in a specified interval.
 Use the standard Normal distribution to determine a z-score from a percentile.
 Use Table A to find the percentile of a value from any Normal distribution and the value that
corresponds to a given percentile.
 Make an appropriate graph to determine if a distribution is bell-shaped.
 Use the 68-95-99.7 rule to assess Normality of a data set.
 Interpret a Normal probability plot.
AP Exam Tips


Don’t use “calculator speak” when showing your work on free-response questions. Writing normalcdf
(305,325,304,8) will not earn you credit for a Normal calculation. At the very least, you must indicate
what each of those calculator inputs represents. For example, “I used normalcdf on my calculator with
lower bound 305, upper bound 325, mean 304, and standard deviation 8.” Better yet, sketch and label a
Normal curve to show what you’re finding.
Normal probability plots are not included on the AP Statistics course outline. However, these graphs are
very useful tools for assessing Normality. You may use them on the AP exam if you wish – just be sure
that you know what you’re looking for (linear pattern).
Free-Response Questions from Previous AP Exams
Questions can be found on the AP Central Web site:
http://apcentral.collegeboard.com/apc/members/exam/exam_questions/8357.html.
Students should be able to answer all the free-response questions listed with material in this chapter. Questions
that contain content from this chapter but also require content from later chapters are listed in the last chapter
required to complete the entire question. Some of these problems we will do in class as warm-up problems.
You may do the others to help you understand the content from this chapter as well as to prepare for the AP
exam in May.
Year
2011
Question
1
2009B
1
2008
1
2006B
1997
1
1
Content
Assessing normality from summary statistics, Calculating and
interpreting a z-score, using z-scores to make a comparison
Estimating median and IQR from a boxplot, linear transformations
of data
Comparing distributions with boxplots, linear transformations of
data, effect of shape on the relationship between mean and
median
Interpreting cumulative relative frequency graphs
Interpreting cumulative relative frequency graphs, finding the
median and IQR from a cumulative relative frequency graph,
comparing center and spread
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