Name ________________________________________________
Due September 4th, 2015
Probability and Statistics Summer Work
Preface:
Probability and Statistics requires a background in algebra, strong problem solving
skills, and the ability to interpret and write conclusions. You will often be asked
throughout the course to interpret and write conclusions based on statistical data
for real world problems, also known as word problems. A matter of fact, the entire
course is based around applications (word problems). The material you learn each
day will build on the material you have learned previously. There are no shortcuts
to this course; you must keep up with your studies every day!
Assignment:
You must complete the following packet which is split into two sections,
Introduction to Probability & Statistics and Prerequisite Topics Review. Show
your work, check your answers, and write your final answers on the last page of
the packet.
Helpful Links:
Remember, the work you put forth is the first impression you give as well as the
first grade you will receive. Be sure to utilize all possible resources in order to
give your best work. Below are some links that you may find useful to completing
the summer work.




Purple Math - http://www.purplemath.com/modules/index.htm
Khan Academy - https://www.khanacademy.org/math/probability
Math is Fun - http://www.mathsisfun.com/data/
Math Goodies http://www.mathgoodies.com/lessons/vol6/intro_probability.html
 Center for Innovation in Mathematics Teaching http://www.cimt.plymouth.ac.uk/projects/mepres/book8/bk8i5/bk8_5i2.htm
Assessment:
The packet is due the first day of school Thursday, September 4th. It will
count as your first quiz grade for the marking period.
Name ________________________________________________
Due September 4th, 2015
Introduction to Probability & Statistics
* Copy your FINAL answers to the last page of the packet. *
Write all work required to complete these problems next to each problem.
1. A set of 36 cards is numbered with positive integers from 1 to 36. If the cards are
shuffled and one is chosen at random, what is the probability that the number on the card
is a multiple of both 4 and 6?
2. A bag contains 12 marbles. Three of the marbles are yellow, 4 are red, and 5 are blue.
What is the probability that a marble chosen at random will be:
(Write your answers as a simplified fraction)
a. Yellow
b. Blue or red
c. Not blue
d. Black
3. John has two number cubes, each with faces labeled by the numbers -15, -10, -5, 0, 5, 10,
and 15. If John rolls the two cubes and adds the resulting numbers, what is the probability
that the sum will be 0? Hint: Write down all the possible sums.
Name ________________________________________________
Due September 4th, 2015
4. A class of 25 students is asked to determine approximately how much time the average
student spends on homework during a one-week period. Each student is to ask one of
his/her friends for the information, making sure that no one student is asked more than
once. The numbers of hours spent on homework per week are as follows:
8, 0, 25, 9, 4, 19, 25, 9, 9, 8, 0, 8, 25, 9, 8, 7, 8, 3, 7, 8, 5, 3, 25, 8, 10
a. Find the mean, median, mode, and range for these data.
b. Based on this sample, which measure (or measures) that you found in part a best
describes the typical student? Explain your reasoning.
5. Match the English sentence in the second column with the mathematical sentence in the
first column:
a.
b.
c.
d.
2
2
2
2
2or
2
i. A number is greater than 2
ii. A number is either less than -2 or
greater than 2
iii. A number is between -2 and 2
iv. A number is less than 2
6. A company that makes ballet shoes surveyed 200 customers. Each customer voted for
one favorite color of ballet shoe. The bar graph below shows the results. Based on the
data in the graph, what is the best estimate of the number of customers who voted for
“Pink”?
Name ________________________________________________
Due September 4th, 2015
7. The scatterplot below givens information on four different car trips. Which point
represents the trip with the fastest average speed?
8. The box-and-whisker plot below represents the survey results of estimated gas mileage of
100 car models.
What statistics -- mean, median, mode, and range -- can be determined from this graph?
(multiple-choice)
a. Mean only
b. Median only
c. Range and mean
d. Range and median
9. Plot the following data and sketch the curve that best fits the data. Plot the year on the xaxis and the number of subscribers on the y-axis. Graph is on Answer Page.
Year
0
Subscribers
(in millions)
1.2
1
2.1
2
3.5
3
5.3
4
7.6
5
11.0
6
16.0
7
24.1
8
33.8
10. Make a bar graph for the data that follows. After a political debate, a newspaper asked a
sample of people from the audience which political party they belonged to. Twenty-eight
people responded that they were Democrats, 22 said that they were Republicans, 14 said
they belonged to another party, and 5 did not respond. Graph is on Answer Page.
Name ________________________________________________
Due September 4th, 2015
Prerequisite Topics Review
11. Solve the following problems for x.
a. 94
2 6
5
b. 2
5
5
c. 2
d.
e.
f.
5
Name ________________________________________________
Due September 4th, 2015
12. Rearrange the following problems to solve for x. (These are called literal equations if you would like to look it up online for help)
a.
b. 12
c.
4
20
3
d.
13. Simplify the following expressions given Round any answers to the nearest thousandths place.
a.
b.
∙
c.
4
d.
1
7
2, 3, 6, and 1.
Name ________________________________________________
Due September 4th, 2015
Answer Page
Please copy all of your final answers to this page.
1. __________________________
9.
2. a. _______________________
b. _______________________
c. _______________________
d. _______________________
3. __________________________
10.
4. a. Mean = __________________
Median = ________________
Mode = __________________
b.
______________________________
______________________________
______________________________
______________________________
11. a. _______
b. _______
5. a. _______
c. _______
d. _______
b. _______
e. _______
f. _______
12. a. _______
b. _______
c. _______
d. _______
7. _______
13. a. _______
b. _______
8. _______
c. _______
d. _______
c. _______
d. _______
6. _______________________