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Summer Assignment- AP Statistics
Welcome future statisticians! This summer you will start a wonderful journey exploring data analysis. The purpose
of this assignment is to make you comfortable with the primary data displays used during this Statistics class and
to review skills that I expect you to have before starting the course. This assignment is expected to be done over
multiple days in the summer. If you are reading this on August 19 th, then you will have a very long day ahead of you.
This summer assignment requires internet access. If you do not think you can get to a computer with internet
access or otherwise need help from me, please send an e-mail to [email protected]. This assignment is
due on the first day of school. The completion of this assignment will count as a major assignment for the 1st
quarter. The material will be review and there will also be a written test on it.
Preliminaries: This is not like any other math class you have ever taken!
1) You must be competent in basic algebra. More complicated topics will be (re)taught.
2) You must be willing to explain your answers. Just getting the correct number will not be sufficient for this
course.
3) A graphing calculator is needed for this class. A TI-83, TI-84 or 84 Plus will be what we use.
4) You will need a 1” binder. Most of my teaching is from worksheets that need to be kept for review.
5) Remember, this is an AP course! Do not expect this to be an “easy course.” Although it may not seem as
difficult computationally as calculus, it requires a great deal of outside reading and homework, and it
requires a thorough understanding of many abstract concepts. It will move at a fast pace, and you as a
student must be willing to keep up with this pace, even if you need to get additional help outside of class, so
that we can finish and review before the AP exam.
The summer assignment is composed of two parts.
Part 1. Reading and Vocabulary: You will use a free online Statistical tutoring site that will give you information
on variables and data displays. While reviewing the information on the site you will be completing a vocabulary.
Follow the steps below:
Go to www.stattrek.com
Click on “AP statistics tutorial”
On the left side of the screen is a list of general topics. When you click on them you will see subtopics. You will
read the following subtopics to complete the vocabulary list.
General Topic: Quantitative Measures
Subtopics:
Variables
Central Tendency
General Topic: Charts and Graphs
Subtopics:
Patterns in Data
Dotplots
Histograms
Stemplots
Boxplots
General Topic: Categorical Data
Subtopics:
One-Way Tables
Please define each of the following terms from the information on the stattrek website. When asked provide
a unique example of the word NOT given on the website.
1) Variables:
2) Qualitative (Categorical) Variables:
Example:
3) Quantitative (Numerical) Variables:
Discrete:
Example:
Continuous:
Example:
4) Univariate Data
5) Bivariate Data
6) Median
7) Mean
8) Center
9) Unusual Features
10) Shape
11) Spread
12) Symmetry
13) Outlier
14) Unimodal and Bimodal
15) Skewness
Sketch Skewed left:
16) Uniform
17) Dotplots
18) Difference between bar chart and histogram
19) Stemplots
20) Boxplots
21) Quartiles
22) Range
23) Interquartile Range
Sketch Skewed right:
Part 2: PRACTICE PROBLEMS
1) CATEGORICAL OR QUANTITATIVE
Determine if the variables listed below are quantitative or categorical. If they are quantitative, state
whether they are continuous or discrete numerical variables.
1. Time it takes to get to school
2. Number of people under 18 living in a
8. Height of students in AP statistics
household
9. Number of Facebook friends
3. Hair color
10. Age of Oscar winners
4. Temperature of a cup of coffee
11. Types of cars in parking lot
5. Teacher salaries
12. Jellybean flavors
6. Gender
13. Country of origin
7. Zip codes
14. Lengths of top ten favorite songs
15. Jersey numbers of Dallas Cowboy players
2.) STATISTIC –WHAT IS THAT?
A statistic is a number calculated from data.
Quantitative data has many different statistics that
can be calculated. Determine the following statistics
51
52
38
14
42
38
from the data on the number of points scored by the
31
44
49
44
17
29
2011 Arkansas Football team.
29
Points scored by Razorback Football team
Using a TI-83 or TI-84, press STAT and Edit and
enter these numbers in a list. Then go back to STAT,
Calc, and 1-Var Stats to find the following:
Mean (x) ____________________
MinX _______________________
Q1 _________________________
Median _____________________
Q3 _________________________
MaxX ______________________
Range ______________________
Q3 – Q1 _____________________
Construct a boxplot for the given data. Be
sure to draw to scale and label.
3.) SHOPPING SPREE!
A marketing consultant observed 50 consecutive shoppers at a supermarket. One variable of interest was how much
each shopper spent in the store. Here are the data (round to the nearest dollar), arranged in increasing order.
3
18
25
36
50
9
18
25
39
53
9
19
26
39
55
11
20
26
41
59
13
20
28
43
61
14
20
28
44
70
15
21
28
45
83
16
22
28
45
86
17
23
32
47
86
17
24
35
49
93
Make a stemplot using tens of dollars as the stem and dollars as the leaves. Be sure to include labels, title, and key.
4.) WHAT’S YOUR STATUS?
According to www.onlineschools.org on FACEBOOK in 2010, 43,869,800 subscribers posted their status as Single,
36,774,801 as Married, 5,974,574 as Engaged, 3,025,791 as It’s Complicated, and 28,460,516 as In a Relationship.
a.
Find the percent of relationship status for each category, rounded to the nearest percent.
b. NEATLY create a well-labeled bar graph of the distribution of relationship status for Facebook.
5) CALCULATIONS:
Here is a formula that is used often in AP Statistics:
z
x

a) If x = 95, µ = 70, and σ = 10, what is z? Show your work.
b) If z = 2.5, x = 102 and µ = 100, what is σ? Show your work.
c) If z = -3.35, x = 60, and σ = 4, what is µ? Show your work.
d) If z = 1.5, µ = 75, and σ = 8, what is x? Show your work.
6) PROBABILITY:
1) A special lottery is to be held to select the student who will live in the only deluxe room in a dormitory.
There are 100 seniors, 150 juniors, and 200 sophomores who applied. Each senior's name is placed in the
lottery 3 times; each junior's name, 2 times; and each sophomore's name, 1 time. What is the probability
that a senior's name will be chosen?
2) If a coin is tossed twice, what is the probability that on the first toss the coin lands heads and on the
second toss the coin lands tails?
3) If a coin is tossed twice what is the probability that it will land either heads both times or tails both
times?
4) If a coin is tossed 5 times and lands on heads each time, what is the probability that it will land on heads on
the 6th toss?
5) Suppose the probability that Zelda Mae will be awarded a sports scholarship is .25, the probability she will
be awarded an academic scholarship is .21, and the probability that she will get both is .13. What is the
probability that Zelda Mae will win at least one of the two scholarships?
6) The probability that Michael misses a free throw shot is .23. He goes to the line to shoot three free
throws (due to a foul on a three-point shot). Assume that the free throw attempts are independent.
a) What is the probability that Michael misses all three shots?
b) What is the probability that Michael makes at least one of the three shots?
c) What is the probability that Michaels makes the first shot but not the second or third?
7) ONE LAST THING!
In stats we need lots of DATA to work with. Please go to the website at
https://docs.google.com/spreadsheet/viewform?formkey=dHBEM1g0d3dFR1FlWDhubHBtb1dUWUE6MQ and fill
out the survey. You can also access the survey from my wiki at www.danagoins.pbworks.com and click on Statistics
page. Have a great summer! Looking forward to a great 2012-13 year!