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Algebra 2
Review Chapter 11
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Sections 11.1-11.2
1) Fifteen students are entered in a race. Those students that finish first, second, or third
will win a medal. In how many ways can these 15 students finish the race in first, second,
or third place?
2) A traveler can choose from 5 airlines, 6 hotels, and 3 rental car companies. How
many arrangements of these services are possible?
3) Olivia is shopping for jeans at a store that offers 20 different types to choose from.
She wants to buy 6 different types. She believes that she has 27,907,200 possible
combinations. Is she correct? If not, what error did she make? How many different
combinations does she have?
4) The Superjumbo Lottery has 65 numbers in total of which 4 are drawn at random.
Each number can only be drawn once. What is the probability of matching all 4
numbers on a single ticket? (Leave as a fraction)
5) A spinner is divided into 16 equal regions, numbered 1-16. Find the probability of
each event for one spin of the spinner.
A) a multiple of 5
B) a factor of 12
C) a number greater than 6
6) A bucket contains 9 blue pens, 13 black pens, and 17 red pens. Find each
probability.
A) P(blue pen)
B) P(not a black pen)
C) P(black pen or red pen)
Section 11.3
A bag contains 5 red marbles, 14 blue marbles, 7 white marbles, and 6 green marbles.
A marble is picked at random and is then replaced. A second (and sometimes) third marble is
picked and also replaced. Find each probability.
7) 2 blue marbles are chosen
8) 1 white, 1 green, and 1 red are chosen
A bag contains 5 red marbles, 14 blue marbles, 7 white marbles, and 6 green marbles.
A marble is picked at random and is not replaced. A second and third marble are also picked
without replacement. Find each probability.
9) 3 green marbles are chosen
10) 1 blue and 2 red marbles are chosen
A store display shows 3 red shirts, 2 blue shirt, and 4 shirts with red and white stripes.
The display also shows 3 pairs of blue jeans, 2 pairs of white pants, and 1 pair of white shorts.
11) What is the probability of randomly selecting an item with white or red on it?
12) What is the probability of selecting an item with red or blue on it?
13) A standard deck of cards has 52 cards. Find the probability of each event and tell
whether the events are mutually exclusive or inclusive.
A) P(club or face card)
B) P(queen or not a heart)
C) P(7 or an ace)
Section 11.5-11.6
14) What is the standard deviation, mean, and variance of the data set below?
97, 31, 80, 33, 64, 43, 111, 115, 100, 34, 60
Mean = __________
Variance = __________
Data Values
Stand. dev. = __________
x  x 
2
x x
Total:
Variance:
Standard Deviation:
15) Calculate the lower fence and upper fence for the data set in problem 14 to
determine if any outliers exist.
16) The scores on a math test are:
57, 79, 81, 85, 88, 88, 93, 95, 95, 95, 95, 96, 97, 99, 94, 95, 98, 98, 98, 100
A) Find the mean, median, mode, range and standard deviation.
B) Create a number line by plotting all of the data values, showing the mean in the center. Add
and subtract the standard deviation in each direction until all data values are shown within 3
standard deviations.
C) Within how many standard deviations of the mean is a score of 100?
D) Create a box-and-whisker plot of from the data in question 16 by finding the 5 number
summary.
Min. =
Q1 =
Median =
Q3 =
Max. =
17) Make a box-and-whisker plot for the data below. Be sure to indicate the 5 key
values needed.
17, 19, 27, 36, 48, 50, 55, 63, 65, 72
Min. =
Q1 =
Median =
Q3 =
18) Calculate the lower fence and upper fence for the data set in problem 14 to
determine if any outliers exist.
Max. =
Section 11.9
19) A data set has a mean of 172 and a standard deviation of 17 and has a normal
distribution. All data values are within three standard deviations of the mean.
A) Sketch a normal curve showing the project scores and three
standard deviations from the mean.
B) What could the maximum value be?
C) What percent of the data lies between 155 and 206?
D) If the data set had 150 numbers in it, how many would you expect to be between
138 and 155?
Section 11.7
20) List the characteristics of a biased survey question?
21) Name the different types of sampling methods, and give an example of each.