AP Statistics Summer Assignment
Mr. Swytak
email: [email protected]
Website:
Keep in mind that:
1) This is different than any other math class you have ever taken!
2) You must be competent in basic Algebra.
3) You must be willing to explain your answers. Simply getting the correct numerical answer WILL NOT suffice for
this course.
4) You must own your own calculator and bringing it and your textbook to class daily is a REQUIREMENT. A TI-83
is the minimum calculator needed for the course, but the TI-84+ is recommended. (Try EBay or Craigslist)
5) Remember this is an AP Course. Do not expect this to be an “easy course.” Let me reiterate: THIS IS NOT AN
EASY COURSE! Although it may not seem as difficult computationally as other higher level math courses; it
requires a great deal of outside reading and homework, and it requires a thorough understanding of many
abstract concepts. You must keep up with the pace of the class, and seek additional help before school as
needed.
This assignment is due on the FIRST DAY OF SCHOOL. The assignment will count as a quiz grade. Completing this
assignment will not only get your grade off to a good start, but will have you prepared for some of the early concepts
Accuracy, legibility, organized and neatness counts!
in the course.
It is recommended that you use online sources to complete this assignment. A great site to use for a resource
is www.stattrek.com. On the left hand side of the page there is a BROWSE box. Click on AP Statistics under the
TUTORIALS heading.
Part I: Vocabulary
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
23.
Quizlet.com is a great resource to study vocabulary you
will be tested. You know it or you don't
Mean
12. Simple Random Sampling
Median
13. Outlier
Mode
14. Center
Range
15. Spread
Categorical Variables
16. Symmetry
Quantitative Variables
17. Bar Chart versus a Histogram
Univariate Data
18. Dot Plots
Bivariate Data
19. Stem Plots
Population
20. Box Plots
Sample
21. Quartiles
Unimodal
22. Interquartile Range (IQR)
Skewness (Differentiate between Skewed Left and Skewed Right)
Part II: Problems
1.
Categorical or Quantitative
a. Number of students in a classroom
b. Sex of students in a classroom
c. Height of students in a classroom
d. Temperature in the classroom
e. Age
f. Smoker or not
g. Republican, Democrat, or Neither
h. Colors of the Rainbow
i. Grade you are in
j. Whether you are a freshman, sophomore, junior, or senior
2. Data Analysis
In a rural town in Oklahoma during the 1970’s, the following data was collected concerning the age at which
the eldest child in a family to get his/her license. The sample consists of 31 people, 16 males (M) and 15
females (F).
M
F
16
17
16
18
17
19
16
20
18
18
17
19
17
20
16
18
16
18
27
17
16
16
17
18
16
19
17
17
16
18
16
a. Calculate the following statistics for the male and female data separately.
i.
Mean
ii.
Median
iii.
Mode
iv.
Range
b. Plot each set of data. Either use a stem-and-leaf plot or a dot plot.
c. Looking at your plot, which data point(s) would be considered an outlier.
d. Re-calculate part a) above for the males, excluding the outlier.
e. Summarize the effects of the outlier on the mean, median, mode, and the range.
f. In statistics, often you will be required to interpret your data. In a paragraph compare the two sets of
data.
3. The following data describes the number of persons per household in the United States in the census years
between 1850 and 2000.
Year
Number of persons
in household
1850
5.55
1860
5.28
1870
5.09
1880
5.04
1890
4.93
1900
4.76
1910
4.54
1920
4.34
1930
4.11
1940
3.67
1950
3.37
1960
3.35
1970
3.14
1980
2.76
1990
2.63
2000
2.59
a. Construct a scatter plot of this data on graph paper. Put year on the x-axis and household size on the yaxis. Clearly label the axis, and give the graph a title.
b. Using a straight edge or a ruler, carefully draw a line of best fit through the data.
i.
Estimate the slope of your best fit line. Include proper units for your slope.
ii.
Use your graph and best fit line to estimate the number of persons in a household in 2010.
4. Suppose a set of data consists of 33 whole number observations. Its five number summary is (min, Q1,
median, Q3, max) = (16, 20, 22, 30, 46). (This problem refers to box and whisker plots)
a. What is the range of the data?
b. How many observations are strictly less than 22?
c. Is it possible that there is no observation equal to 22? (explain briefly)
d. How many observations are strictly less than 20?
e. Is it possible that there is no observation equal to 20? (explain briefly)
f. Construct a modified box plot.
Part III: Using your TI Graphing Calculator
youtube is a great source for how to use the calculator
Entering data into a list: STAT -> 1: Edit -> Enter data into appropriate list
To clear a list: Scroll up to the list name and hit clear followed by the down arrow.
To sort a list in ascending order: STAT -> 2: SortA(L1)
(go back to STAT -> 1: Edit to see your sorted list)
nd
To find the mean of a list: 2 STAT -> Math -> 3: mean(L1)
To find the median of a list: 2nd STAT -> Math -> 4: median(L1)
12
18
33
19
58
30
15
14
66
46
43
21
26
34
42
54
22
4
23
17
44
54
44
52
38
55
60
39
62
27
33
25
28
44
53
18
35
25
55
42
63
44
38
21
36
55
44
50
9
33
Use the above data to do the following exercises:
1.
2.
3.
4.
5.
6.
Enter the data into a list (preferably L1).
Sort the list in ascending order and find the mode.
Find the mean of the data.
Find the median of the data.
Find the sum of the data.
Find the Standard Deviation (stdDev( ) of the data.
Part IV: Must Know the Basics (Show work when necessary)
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
Write 7% as a decimal.
Write 3/10 as a percent.
What is 25% of 500?
What is 12% of 82?
What is the probability of rolling a number greater than a 2 when rolling a fair 6-sided dice?
What does 3 < x < 20 mean if you were to put in words?
G(x) = 3x-5, find G(8).
Solve the following for z: b=rz + g
Solve the following for z: b=rz + z
Graph y = 4x + 3
Graph y = 3 – 5x
Graph y = 22.4 + 6.8x
If the height of a human in inches is linearly related to their age in years, what would be the interpretation of
a slope of 5.67?
14. Suppose that the scenario in # 11 was represented by the equation A = 18.4 + 5.67h. What does the value
18.4 represent in the real world?
Part V: Appendix B.1 (#1-13all) B.2 (1-10all),(13-16all),(38-46all) Use a calculator when directed.
Solutions and works should look like the examples provided. To some extent write the question so
you can study from your assignment without looking back at the book for the problem. Word for
word copying is not necessary.