To:
Research Statistics 1 Summer School Students
From: Mr. Carey, Dr. Lampazzi, Dr. Stickler
Date:
April 23, 2015
Our curriculum builds on your knowledge of the statistics objectives, so it is important that you are very
knowledgeable of all of these objectives. We will have a test on the second day of summer school over this
material. We have posted a packet of review material on Blackboard (and the TJ website) for you to use in
preparation of this test. The answers are also posted. Do NOT assume that just because you can do the
material on this test that you should not study ALL of the material in the packet. A practice test has
also been provided in the packet so that you can see the type of questions you might be asked and so
that you understand the time constraints under which you will work.
The calculator instructions that you will find in the packet are based on the TI84. We will often be transferring
data in class and it will be easiest if you have the TI84. If you choose to use a different calculator, it is your
responsibility to learn the commands to transfer data. In addition, you frequently need to download lists, applets
and programs to use in class. The first chapter to the TI84 manual is posted on Blackboard. Be sure that you
download the TI Connect software and that you know how to use this software before class begins.
The instructions to download the software are in the manual. The direct link to this manual is:
http://higheredbcs.wiley.com/legacy/college/rossman/047054208X/graphcalc_manual/unit1.pdf?newwindow=tr
ue
The materials you need for this class are a TI84, a loose leaf notebook, a ruler, pencils, 3-4 other colored pens or
pencils.
Please email Mr. Carey (ijcarey@fcps.edu) as soon as possible so that we know that your email and Blackboard
account are working.
We look forward to seeing you at Woodson High School in July.
The following objectives are from the middle school, Algebra 1 and Algebra 2 Program of Studies documents
that can be found on the Fairfax County website. It is our assumption that you have completed all of these
topics.
FCPS Standards of Learning
Math 7 Honors
Standard 11 CONSTRUCT/ANALYZE/COMPARE/CONTRAST HISTOGRAMS WITH OTHER
GRAPHS




11.a Construct and analyze histograms
o 11.a.1 Collect/analyze/display/interpret data using histograms
o 11.a.2 Determine patterns and relationships within data sets (e.g., trends)
o 11.a.3 Make inferences/conjectures/predictions based on analysis of data
o 11.a.4 Collect, organize and display data
11.b Compare and contrast histograms with other types of graphs
11.c Collect/analyze/display/interpret data using box-and-whisker plots
11.d Collect/analyze/display/interpret data using scatterplots
o 11.d.1 Collect/analyze/display/interpret data using scatterplots
o 11.d.2 Interpret data points as having positive, negative, or no relationship
o 11.d.3 Make predictions based on correlation of data on a scatterplot
Algebra 1 Honors
Standard 9 GIVEN A DATA SET, INTERPRET VARIATION IN REAL-WORLD CONTEXTS

9.a Interpret variation in real-world contexts and calculate and interpret mean, absolute deviation,
standard deviation, and z-scores
o 9.a.1 Analyze descriptive statistics to determine the implications for the real-word situations
from which the data derive.
o 9.a.2 Given data, including data in a real-world context, calculate and interpret the mean and
absolute deviation of a data set.
o 9.a.3 Given data, including data in a real-world context, calculate variance and standard
deviation of a data set and interpret the standard deviation.
o 9.a.4 Given data, including data in a real-world context, calculate and interpret z-scores for a
data set.
o 9.a.5 Explain ways in which standard deviation addresses dispersion by examining the formula
for standard deviation.
o 9.a.6 Compare and contrast mean absolute deviation and standard deviation in a real-world
context.
o 9.a.7 Compare z-scores for multiple sets of data.
Standard 10 COMPARE AND CONTRAST MULTIPLE UNIVARIATE DATA SETS

10.a Compare and contrast multiple univariate data sets, using box-and-whisker plots.
o 10.a.1 Compare, contrast, and analyze data, including data from real-world situations displayed
in box-and-whisker plots.
o 10.a.2 Create and analyze data displayed in box-and whisker plots using a graphing calculator.
Standard 11 DETERMINE THE EQUATION OF THE CURVE OF BEST FIT

11.a Collect and analyze data, determine the equation of the curve of best fit in order to make
predictions, and solve real-world problems, using mathematical models. Mathematical models will
include linear and quadratic functions.
o 11.a.1 Write an equation for a curve of best fit, given a set of no more than twenty data points in
a table, a graph, or real-world situation.
o 11.a.2 Make predictions about unknown outcomes, using the equation of the curve of best fit.
o 11.a.3 Design experiments and collect data to address specific, real-world questions.
o 11.a.4 Evaluate the reasonableness of a mathematical model of a real-world situation.
Algebra 2 Honors
Standard 9 COLLECT/ANALYZE DATA TO MAKE PREDICTIONS AND SOLVE PRACTICAL
PROBLEMS

9.a Collect and analyze data, determine the equation of the curve of best fit, make predictions, and solve
real-world problems, using mathematical models.
o 9.a.1 Collect and analyze data.
o 9.a.2 Investigate scatterplots to determine if patterns exist, and then identify the patterns.
o 9.a.3 Find an equation for the curve of best fit for data, using a graphing calculator. Models will
include polynomial, exponential and logarithmic functions.
o 9.a.4 Make predictions, using data, scatterplots, or the equation of the curve of best fit.
o 9.a.5 Given a set of data, determine the model that would best describe the data.
o 9.a.6 Use the correlation coefficient, r, from the graphing calculator to determine how well a
regression curve approximates data points.
Standard 11 IDENTIFY AND APPLY PROPERTIES OF A NORMAL DISTRIBUTION AND APPLY
THOSE PROPERTIES TO DETERMINE PROBABILITIES ASSOCIATED WITH AREAS UNDER
THE STANDARD NORMAL CUVE.

11.a Identify properties of a normal distribution and apply those properties to determine probabilities
associated with areas under the standard normal curve.
o 11.a.1 Identify the properties of a normal probability distribution.
o 11.a.2 Describe how the standard deviation and the mean affect the graph of the normal
distribution.
o 11.a.3 Compare two sets of normally distributed data using a standard normal distribution and
z-scores.
o 11.a.4 Represent probability as area under the curve of a standard normal probability
distribution.
o 11.a.5 Use the graphing calculator or a standard normal probability table to determine
probabilities or percentiles based on z-scores.