Download Summer Homework for AP Statistics

Summer Homework for AP Statistics - 2014
You need to be able to use your graphing calculator with its statistics package to enter data, calculate
simple statistics such as the mean, median or linear regression equation, and produce a boxplot, scatterplot,
and histogram BEFORE the first day of class. Consult your manual if you are not already familiar with
how to use your calculator.
If you do not already have a graphing calculator, my recommendation is to purchase a TI-84 Plus.
This assignment is due at registration on August 11, 2014. It will be your first quiz/exam grade for the
class. Consult your calculator manual for instructions on the keystrokes necessary to do the operations.
You will be removed from the AP course if you fail to turn in this assignment at registration. You should
make a copy of your work before submitting it, just in case. Textbooks may be checked out beginning
Friday, June 20.
All work should be done on a separate sheet of paper. Graph paper is required for some of the problems.
1. Vocabulary
Define each of the following terms in your own words. You may use the textbook or another source,
such as www.stattrek.com, but don’t plagiarize.
a.) categorical versus numerical variables
b.) quantitative versus qualitative variables
c.) univariate and bivariate data
d.) discrete versus continuous data
e.) median
f.) mean
g.) population
h.) sample
i.) center
j.) spread
k.) symmetry
l.) unimodal
m.) skewness (sketch “skewed right” and “skewed left”)
n.) dotplots
o.) difference between a bar chart and histogram
p.) stemplots
q.) boxplots
r.) quartiles
s.) range
t.) interquartile range
u.) bias
2.
Calculator Practice
STAT Button use: Enter the following data into List 1.
1.
2.
Select the STAT button.
Choose "EDIT." Enter the following 3 digit numbers into L1:
510 510 510 543 454 438 459 459 498 466 448 403 498 466 498
433 454 454 498 419 415 454 407 498 443 448 498 433 459 459
419
Entry sequence: STAT - CALC - 1-Var-Stats, then enter L1 as the parameter (2nd key, then 1).
Record the following: (Refer to the manual to see which symbol is which statistic)
mean
standard deviation(s)
n
min
Q1
median
Q3
max
Using the Statistics Plot:
Select STAT PLOT (2nd key, then Y=). Hit Enter to select Plot 1. Toggle cursor to "On" by hitting
Enter. Select the fourth plot (a box plot with outliers) by hitting Enter. Your data should be in List 1,
so X-list should read "Ll." Select "ZOOM" (3 r d button, top row). Choose option 9
(ZoomStat). Reproduce the box plot in scale here. Use the TRACE button to find the end of the
whisker, the ends of the box, and the middle line on the box. Label your axis and scale. Choose a
scale appropriate for the data and space provided (you might start at 400).
Copy your graph onto your own piece of graph paper.
3.
Probability & Statistics Practice
Here is a formula that is used often in AP Statistics:
z
x

a.) If z=2.5, x=102 and µ=100, what is σ?
b.) If z=-3.35, x=60, and σ=4, what is µ?
c.) 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?
d.) Which of the following has a probability closest to .5?
1.
2.
3.
4.
5.
The sun will rise tomorrow.
It will rain tomorrow.
You will see a dog with only 3 legs when you leave the room.
A fair die will come up with a score of 6 four times in a row.
There will be a plane crash somewhere in the world within the next 5 minutes.
e.) If a coin is tossed twice, what is the probability that on the first toss the coin land s heads and on
the second toss the coin lands tails?
f.) If a coin is tossed twice, what is the probability that it will land either heads both times or tails
both times?
g.) Calculate the following probabilities and arrange them in order from least to greatest:
1.
2.
The probability that a fair die will produce an even number.
3.
4.
The probability that a letter chosen from the alphabet will be a vowel.
A random digit from 1 to 9 (inclusive) is chosen, with all digits being equally likely. The
probability that when it’s squared it will end with the digit 1.
A random number between 1 and 20 (inclusive) is chosen. The probability that its square
root will not be an integer.
ORDER: _______, _______, _______, _______
h.) Choose a question that is answered by quantitative data and generate a list of at least 20 values
that answer your question.
Here is an example: What is the price of 20 randomly selected homes that are listed as “for sale”
in San Antonio? (www.realtor.com)
You can choose to look up your data from a reliable source online or create an experiment where
you record at least 20 measurements.
1.
2.
Create a visual representation of your data (chart or graph).
3.
Describe how reliable you think your data is and how meaningful the average value is.
What factors might bias the usefulness of your data?
4.
Describe how you found your data.
Describe the typical or average value of the data set and how the data varies or is spread
out.
4.
Algebra I & II Practice
Copy the information for each problem onto your own paper and answer the questions.
Solve for the variable (show your work):
a.
4( x  2)  32  x
b.
9(2 p  1)  3 p  4 p  6
j.
2
8
y
3
27
m 5 5
 
12 6 24
x2  8x  7  0
c.
(q  12)3  5q  2
k.
d.
3x 2  343  0
l.
e.
2 x  9  21
m.
f.
ln x  1.6873
g.
log3 x  5
h.
log 42.117  .4 x  3.08
i.
1
n3 n2
3
2 x  10  x  1
n.
log3 81  x
o.
log x 256  8
p.
log5 ( x  4)  0
Write the equation of the line containing the given points (show your work):
q.
(6, –2) and (0, 5)
r.
perpendicular to: y = 2x - 1, contains (2, 7)
For each function, find f(x) for x = –3, 0, 2
s.
f(x)= 4x – 2
t.
f(x)= 3x 2
On your graph paper, create and sketch a(n):
u.
linear function
v.
exponential function
w.
quadratic function
On graph paper, sketch the graph and state the slope and y-intercept of each line:
2
y  (2 x  4)
x.
y.
3x + 2y = 14
z.
3y-6x=4
3
5. Statistics Textbook
Read Chapter 1 of your textbook. Be prepared to take a quiz on the material the first week of class.