______________
Keystone Review
Unit
_______
Name:
6
Period:
Date:
Unit 6... Data Analysis and Probability (Keystone Revi
ew)
Part 6.1— Tables and Graphs
L 1) The graph shows the value of a necklace over many years. What
is a reasonable estimate of
the value of the necklace in 1982?
Necklace Value
7,000
6,000
5,000
4,000
—0
-o 3,000
‘
2,000
1,000
0
1880
‘-U
1900
1920
1940
1960
1980
2000
2020
Year
A)
“....
S 1,970
B)
C) $4,000
$3400
0) $5,000
2) Michael’s math averages for the past five months
of school are shown in the line graph.
Which question cannot be answered by looking at the
graph?
Michael’s Math Averag.
“:i ___i
I
“H
70
60
sept.
Oct
Nov.
Dec.
Jae.
Month
A) Which month or months did Michael have an averag
e of 85% or better?
B) What is the difference between Michael’s best month
and his worst month?
C) What caused Michael’s math average to drop below
80% in December?
D) What is the mean of Michael’s math average from
September through January?
__
__
_____
_____
_____
included 80
3) The circle graph shows the results of a survey on favorite fruit. If the survey
students, how many students chose bananas?
Favorite Fruit
A)
B)
40
D)±
4
15
C)
20
t at a bookstore
4) The line plot below shows the number of books individual customers bough
one day.
x
x
x
4j
I
x
x
x
x
x
x
x
x
x
x
x
x
I
1
‘
5
4
3
umlwr of Books B4nJI1t
What was the total number of customers who bought more than 3 books?
D) 10
C) 7
B) 6
A) 4
How many
’s
5) The circle graph shows the favorite sport among students in Rachel class.
students prefer basketball over soccer?
Favorite Sport
—
A)
3
B) 7
Lacrosse 3
Soccer 8
Football 7
Basketball 11
Baseball 4
C)
8
D) 11
ft
6) Which histogram represents the frequency
table below?
r-
Number
Frequency
0—9
10
NurnberofIt-upsStudentsCanDoln2MLnute
10—19
8
20—29
9
A)
30—39
6
40+
2
B)
3
2
II
10
111
9
9
6
5
4.
0-9
1(1-19 20-29 30-39 40iNumber of S it-Ups
C)
I0
8
9
6
NumberofSit-Ups
2
o
D)
13
2
II
II
0
9
I
40±
30-39 20-29 10-19
Frequency
0-9
9
8
Frequency
10
_______
.
1
tacos as their favorite food?
7) How many students named either pizza, hamburgers, or
Favorite Cafeteria Food
Pizza 18
Chicken 7
Hamburgers 11
Tacos S
F
Meatloaf 2
I
A)
23
B)
D) 45
C) 41
34
ent is true?
8) Based on the line graph below, decide which statem
Y’
3 F MAM J J AS 0 ND
A)
B)
C)
D)
Rainfall increased each month.
The amount of rainfall was about the same in May and July.
The greatest amount of rainfall occurred in June.
The amount of rainfall was the same in January and July.
/
9) The table below shows average salaries
for females of different ages with diffe
rent numbers
of years of education. Based on the table
, which statement is false?
24
5
2S-34
SI5Ol7
S.ftSS5
S258(X)
Sl572(.)
[3Jll41] Sl6O3
2LO7
$2o.831
S2LQ44
S27.716
5—
A)
B)
C)
D)
I}
)8SX
I
SlI(
As the years of education increase, the aver
age salary increases.
As the years of education increase, the
average salary decreases.
As the age increases, the average salar
y increases.
Average salary is higher for those who
graduated from high-school.
10) In which three years did home own
ership increase? Use the graph below.
Home Ownership in Maine
Th
2
“
A)
1996. 1997 1998
C) 1987
1988. 1989
4
6
3
3
12
14
‘Yeasn 1984
B) 1993,1994,1995
t1) 1986
,
1987, 1988
__
____
to answer questions 11-14.
Use the following information and graph
ds owning a
ownership in the world, with 66% of househol
Australia has the highest incidence of pet
pet.
Australian Expenditures on Pet Care (1996)
1.
0
0
.1,
0
C-,
NSW
i
I
VIC
QLD
State
WA
SA
on pet care?
11) Which state has the highest total spending
‘
A) NSW
.—
B) VIC
D) SA
unt of money on “other” pet care?
12) Which two states spent about the same amo
B) OLD and SA
A) VIC and QLD
D) WA and OLD
C) SA and WA
-
C) OLD
re on dog and cat care in SA?
13) What is the approximate total expenditu
B) $150 million
A) $345 million
D) $525 million
C) $220 million
on cat and other expenditures?
14) Which state spent approximately $150 million
A) VIC
B) OLD
C) SA
D) WA
Part 6.2
—
Stem-and-Leaf Plots
/ Mean, Median, Mode, and Range
15) Using the stem-and-leaf plot below, which statement is not true?
Plant Heights
Stem
1)
1
leaf
1 2 1 5
0 1 1 5
8 9
16
Key:
115=
15hiches
A) Most of the plants are less than 20 inches tall.
B) The median plant height is 11 inches.
C) The range of the plant heights is 35 inches.
D) The plant height that occurs most often is 11 inches.
16) What is the mean of 1, 5, 22, 7, 18, 11 and 12?
A)
12.1
B) 12.9
C) 11.9
‘
0) 10.9
N
17) What is the median of 13,5 ,22,7,), 11 and i2?
A)
11.5
B) 13
C) 12.5
D) 12
18) This set of data includes the scores that James earned on his last 6 math tests. If the lowest
score is dropped, which statement is true?
—
90,86,75,95,100,70}
A) The range will decrease by 10 points.
B) The median score will increase by 2 points.
í
C) The median score will increase by 5 points.
0) The mean score will decrease by 3.2 points.
—
—
—
_______
_____
19) The table below shows the number of tickets remaining in the first six rows of a theater for
an upcoming concert.
Concert Tickets Remaining
Tickets
Number
Row
3
2
4
4
6
A
B
C
D
E
F
On the day of the concert, the number of remaining tickets in Row A decreases by 1, while
the number of remaining tickets in Row F decreases by 3. What is the effect of these changes
on the mode of the data?
A)
B)
C)
D)
The
The
The
The
mode
mode
mode
mode
L
decreases by 2.
decreases by 1.
increases by 2.
increases by 1.
20) What is the greatest number in the stem-and-leaf plot?
3 9
2 4 7
16
1 3 3
0 1 2 2
35
36
37
38
40
Key:
A) 35.8
I
‘
3614
B) 402
=
36.4
C)40.2
0) 42
21) Tamara’s teacher allows students to decide whether to use the mean, median, or mode for
their test averages. Tamara will receive the highest average if she uses the meari Which set
of test scores are Tamara’s?
A)
95,82,76,95,96
C) 65,84,75,74,65
B)
79,80,91,83,80
D)100,87,94,94,81
I
22> What is the median of the data in the stem
-and-leaf plot below?
23
4
4
0
3
1
24
25
26
27
A)
25.4
5
7 9
4!8 8
8 9
2 5
B)
Key: 247
=
24.7
254
C) 25.8
D) 258
23> The mean on a set of PSSA scores was
86 and the median was 87. Which is the
correct set of
test scores?
/ /
)4 93,88,91.81,87,83,86!
C) 85.90,93,76,83,88,87
‘ç’84,94,89,79,92,85,86.
7”
24) The steam-and-leaf plot lists the ages of
your cousins. Which statement is not
true?
0
1
2
3
A)
B)
C)
D)
I
35999
O\6&89
125
1
Key:22=22
The median is 16.
Themodeis.
;
The range is 28.
The youngest cousin is 3.
25) Find the range, mean, median, and mod
e of the following data set.
15,22, 14,A, 11,,3
Range = 19 Mean = 10.9, Median = 3 Mod
e=3
B). Range = 19, Mean = 10.9, Median =
11, Mode 3
cj Range = 19 Mean = 11.9, Median = 11, Mod
e 3
‘Range = 21, Mean = 10.9, Median =
11, Mode = 14
,
,
,
__
_
_
__
__
_____
_____
_____
_____
_____
ent of people are under
26) The stem-and-leaf plot shows the ages of 20 people. What perc
years old?
5712
1
g
20
1 3 3 8
2245942
31033538
D) 40%
C) 20%
B) 10%
8%
A)
Key:3O=3O
72, and 81. If you want to average at least
27) Your test scores in Algebra iso far are 78,85,
an 80, what score do you need on the next test?
D) 82%
C) 88%
B) 84%
80%
A)
5’
ns #28
Use the stem -and-leaf plots below to answer questio
0 3 I 6 (1
I
I 3 (3
2
243
2
63213
3
5013223
3
70130
I
561135
4
122
512310
5
5322
Mile iges
Female ages
—
32.
28) How many males were in their thirties?
A)
8)6
5
C)7
D)2
C) 80%
D) 85%
C)3
D)6
C) 25
D) 30
29) What percent of females were older than 20?
A)
20%
B) 60%
old?
30) How many people were exactly forty-one years
A)
8)2
1
31) How many males were counted for the plot?
A)
IN
‘
20
B) 45
years old?
32) What percent of people counted were under 30
A)
40%
8) 32%
C) 18%
D) 36%
Part 6.3
—
Box-and-Whisker Plots
33) Find the first quartile of the collection of numbers:
8) 7.5
,4/,
,
9 ,7
C) 8.5
,
,
D) 6
34) Which set of numbers is represented by the box-and-whisker plot?
20,24,15,20,25,18,19
B) 19,18,15,23,25,28,30
-
>(24,22,18,16,29,28,18,20,21,20,19IC
.
,/ D) 25,23, 17,15, 19,21,28,28,3
0,26
35) Which statement about the box-and-whisker plot is not
true?
60
70
80
62.5 71.4
90
100
88.9
100.2
110
120
117.8
A) The median is 88.9.
B) The lowest score is 71.4.
r
C) The upper quartile is 100.2. V
D) The range is 55.3.
36) What is the interquartile range of the data in the box-an
d-whisker plot below?
I
I
4
8
12
12.5
B)
12.5
16
20
24
28
3 21.5 21
C)
20
0)
21.5
______
______
______
_____
16?
37) In the box-and-whisker plot below, what percent of the data set fell between 9.5 and
:+ f
26
7 9.5 12.5 16
1)
L
B)
50%
EA)
0)33%
75%
C)
25%
38) According to the box-and-whisker plot, what was the lower quartile weight of Frank’s
classmates?
Weights of Frank’s Classmates (in lbs.)
50
75
100
I
I
I
•
A)
125
150
I
I
I
#
B)
65
0)125
95
C)
75
in a month?
39) What was the upper quartile of gallons of paint sold at John’s Hardware Store
Paint Sold Per Month at John’s (in gallons)
A)
30
40
50
0
I
I
I
I
B)
58
I
C)
60
40) What is the upper quartile of the numbers 4 ,6,
A)
0) 62
61
71, 8, 10
20?
0)20
12
C)
B) 10
8
70
41) What is the interquartile range?
PlotA
0
5
10
15
20
I
I
I
I
I
.
A)
13
B)
5
p
C)
4
0)9
___
___
42) According to the box-and-whisker plot, what is the median
number of meals served in a day
at Susan’s Diner?
Meals Served at Susan’s Diner (per day>
0
15
I!
30
45
I
I
60
p
A)
12
) 27
C) 30
D) 15
43) What was the maximum number of hot dogs eaten in
the hot dog eating contest?
Hot Dogs Eaten by Contestants
0
I
5
I
10
I
I
I I
15
I
ii
20
I
I I
+ +
A)
3
9)
7
C) 15
D)1
44) Find the first quartile of the collection of numbers: 1,
3,A, 9, 11 ,SS
,,
(
JA
3.5
B)
7.5
C) 5.5
4
D) 6.5
45) What percent of pumpkins weigh more than 60 pounds
?
Pumpkin Weights (in lbs.)
0
I
25
I
I
50
I.’
I
I
75
100
I
I
I
A)
0
B) 25
C> 50
D)75
_
_______
_____
the gallons of paint
46) Using the box-and-whisker plot below, what is the nterquartile range of
sold at John’s Hardware Store?
Paint Sold Per Month at Johns (in gallons)
I
I
I
I
II
4L
D)28
16
C)
B) 12
g
A)
I
II
.4
70
60
50
40
30
Part 6.4— Two-Way Tables
-
class have as pets.
47) Emma has collected information about the cats and dogs that children in her
two-way table below?
There are 30 pupils. Using this information, what value would complete the
1-lasaCat
DoesNotKaveaCat
A)
B)
30
Does Not Have a Dog
4
?
Has a Dog
8
12
16
C)
D)8
6
United or Newcastle.
48) People leaving a football match were asked if they supported Manchester
Using the
They were also asked if they were happy. The results are shown in the table below.
table, how many people were surveyed?
Manchester United
40
2
Happy
Not Happy
A)
42
B)
60
-
C)
Newcastle
8
20
70
D) 28
49) The children in a class conducted a survey to find out how
many children had a Blu-Ray DVD player
at home and how many had computers at home. Their results are
given in the table below. How
many students had neither items at home?
Blu-Ray Player
8
20
Computer
NoComputer
A)
2
B) 3
No Blu-Ray Player
2
3
C)
20
D)
23
50) The children in a school are to have extra swimming lessons if
they cannot swim. The table below
shows information about the children who are in Kindergarten,
1 Grade, and 2 Grade. How
many children need swim lessons?
Can Swim
120
168
172
Kindergarten
5t
1
Grade
2 Grade
I A)
74
B) 60
Cannot Swim
60
11
C) 11
0) 3
51) 40 students at Leriape are members of the Doylestown Cyclin
g Club. Details of their bikes are given
below. Each student has one bike each. Fill in the missing value.
Mountain Bike
2
8
I
1
0
I
15-speed
12-speed
10-speed
1-speed
A)
33
8)
7
Racing Bike
0
?
7
0
C) 8
j
BMX Bike
0
0
0
15
D)9
______
______
52) The nurse at Doyle Elementary collected information on 484 students about how many of them
wear glasses. Use the table below to determine what percent of students never wear glasses.
Always Wear
Glasses
40
36
Boys
Girls
A)
B)
63%
1
Sometime
Wear Glasses
48
55
C)
15.7%
Never Wear
Glasses
161
144
D) 21.3%
36%
53) During one month, exactly half of the 180 babies born in a hospital were boys and 40 of the babies
weighed 4 kg or more. There were exactly 26 baby boys who weighed 4 kg or more. Which of the
following is the corresponding two way table with regard to this data?
Less than 4 kg
26
14
Boys
Girls
Boys
Girls
4 kg or more
(26
14
Less than 4 kg
64
76
Boys
Girls
4 kg or more
26
64
Less than 4 kg
14
76
Boys
Girls
4kgormore
14
26
Lessthan4kg
76
64
B)
C)
D)
I
4 kg or more
64
76
A)
I
1
/
54) The two-way table below shows the number of hours studen
ts studied and whether they studied
independently or with a study group. What is the relative freque
ncy of students that studied
independently for more than 2 hours to the total number of studen
ts that studied independently?
Studied Less Than 2 Hours
12
8
Studied Independently
Studied with a Study Group
A)
0.4
B) 0.33
Studied More Than 2 Hours
4
11
C)
0.25
D) 0.11
55) A class was surveyed about whether they have been to Canad
a or Mexico. Use the two-way table
below to calculate the relative frequency of a student who has been
to both Canada and Mexico to
all students that have been to Mexico? Round to the nearest hundre
dth if necessary.
Have ot been
A)
L
Mexko
0.50
tQi9
6
I
3
11
s
B)
0.33
C)
0.83
D) 0.67
56) There were 100 customers in a restaurant that were asked whethe
r they liked chicken or beef and
whether they liked rice or pasta. Out of 30 customers that liked rice,
20 liked chicken. There were
60 customers that liked chicken. Which of the following is the approp
riate two-way table
concerning the restaurant’s data?
Chicken
Beef
Rice
20
40
Chicken
Beef
Rice
40
30
I
Pasta
10
30
Pasta
20
10
I
B)
D)
Chicken
Beef
Rice
10
20
Pasta
30
40
Chicken
Beef
Rice
20
10
Pasta
40
30
______
______
_______
1
Er
I
Part 6.5— Probability and Odds
57) There are 1 red ball, 20 blue balls, 15 green balls, and 5 yellow balls in a ball pit. What are the
odds of randomly choosing a green ball?
F
41
D)—
15
26
C)—
15
15
B)—
26
15
A)—
41
58) Carol and Amanda played a game. This table shows the results.
Game Results
Frequency
Results
3
Carol wins
2
Ama nda wins
Tie
I
I
What is the probability that there will be a tie between Carol and Amanda?
A)
—
B)
—
5
1
3
C) —
—
4
9
59) The table below shows the number of cans placed in a collection bin during a food drive.
Food Drive
Type of Food
Vegetable
Fruit
Meat
Sauce
Nurnbr ofans
Li
2,578
1,359
1,240
580
1 1
One can will be randomly selected from the bin. Which is closest to the probability that the
can selected will contain fruit or sauce?
A)
0.10
B) 0.24
rC)
0.34\
D) 0.66
60) Suppose you roll a number cube with the numbers 1-6 on it. Which has the same probability
.?.
as P (1 or prime) ?
A) P (factor of 6)
B) P (1 or 2)
C) P (less than 3)
D) P (not odd)
61) There are 28 right-handed students in a class of 31. What is the probability that a student
chosen at random will be left-handed?
A)
28
—
31
31
B) —
28
3
C) —
28
3
D) —
31
.._i_L 62)
Suppose you have a bouquet of four red, three white, and two yellow
roses in your hand.
What is the probability of selecting two red roses?
1
A)—
9
1
B)—
5
4
C)—
9
1
D)—
6
63) There is a 25% chance of rain tomorrow. What is the probability
that it will not rain?
A)
0.25
B) 0.35
C) 0.50
0) 0.75
64) If an event has a probability of 0.75, what is the likelihood of it
occurring due to chance?
A) Impossible
B) Unlikely
C) Quite Likely
D) Certain
1’
65) A car dealership has 12 cars, 6 trucks, and 7 sport utility vehicle
s on its lot. What is the
probability of randomly choosing a truck?
A)
P
—
25
)
6
B)—
25
7
6
C)—
25
D)—
19
66) You randomly choose an integer between 1 and 20. What are
the odds that the integer is the
in the teens?
3
-‘
A)
1
—
20
1
B)—
13
7
C)—
13
F
20
67) There are 20 dogs, 14 cats, 6 birds, 1 snake, and 2 rabbits at
a local shelter. What are the odds
of randomly choosing a cat?
7
A)—
10
B)
7
—
17
C)
14
—
43
14
D)—
29
68) A coin is tossed 16 times. Six of the tosses were tails. What is
the experimental probability of
tossing a head?
A)
3
8
—
B)—
5
C)—
8
5
D)—
______
______
______
bought. The
69) A music store did a survey of 100 people to find out what type of music they
If
survey showed 13 people preferred alternative, 23 blues, 25 hard rock, and 39 soft rock.
would
they surveyed one more person, what is the experimental probability that the person
prefer alternative?
—
4
13
D)—
100
14
C)—
100
13
B>—
87
1
A)
Use the following information and graph to answer questions # 70-71
and the number
The table below shows the number of students in each grade for three high schools
that get to each school by riding the bus.
King
rhaII
Bis der
Thtal
3us riders
Tntal
Bu rlder5
147
lOS
2ô
105
265
151
!Jth
132
176
311
105
173
142
11th
‘)4
4l
04
106
204
I 0
__lZth
Ill
142
255
l7
231
106
Grde
_th
‘—‘
school?
70) If you are in the tenth grade, what is the probability that you ride a bus to get to
A)
C)
073
B)
0.64
D)
194
816
0.64
304
0.53
264
71) If you go to Marshall High School, what are the odds that you do not ride the bus to get to
school?
A) 657 to 227
B) 657 to 884
C) 227 to 657
D) 227 to 884
Part 6.6—Compound ProbabiIi
72) You roll a pair of number cubes. What is the probability of getting even numbers on both
cubes?
1
A)
I
B)
C)
4
D)1
6
73) You take a three-question true or false quiz. You
guess on all the questions. What is the
probability that you will get a perfect score?
A)
1
—
B)
3
C)
—
1
)
1
3
D)—
—
74) A standard domino set has 28 dominoes. Seven of
these are called “doubles” since they have
the same number on both ends or are blank on both
ends. The first and second player each
take a domino at random. What is the probability that
they will both draw a “double” ?
-
A)
I
16
B)
±
18
I
“
C)
(-
D)--756
--
56
75) A bag contains 10 red marbles and 20 white marble
s. You draw a marble, keep it, and draw
another. What is the probability of drawing two red marble
s?
v
1
A)-10
B)-29
1
C)—
9
1
D)—
3
76) A drawer contains 4 red pens, 5 blue pens, and 2
black pens. If you reach into the drawer without
looking and pull out a pen for you and a pen for your
work partner, what is the probability that the
first pen will be blue and the second pen will be black?
A)
7
1!
—
121
40
C)
—
3
D)—
11
77) In the Lucky Sevens Lottery, 100 numbered tokens (1-100) are
mixed in a box. A lottery agent then
picks 10 of the tokens from the box. Each time a token
is removed, it remains outside the box.
Thirty-four of the tokens contain the digit 7. If three
numbers with the number 7 are picked in a
row, you win! The agent picks the first 7 tokens, none
of which have 7s. What is the probability
that the agent will pick 3 tokens in a row with the
digit 7, making you a winner?
A)
C)
\100)k100)100}
1
(-i(
l00J100)\j00)
B)
(21’11
34,A34,A34
D)
93A92A9l
Use the following spinners to answer questions # 78-79
Mrs. Ripley spins each spinner one time.
Spinner 2
Spinner 1
fl’
odd numbnthe second spinner
78) What is the probability that the first spinner will land on an
L
will land on a vowel?
tiE
—
1
B)—
1
A)—
F)
1
D)—
1
C)
—
second spinn: will land on C?
79) What is the probability that the first spinner will land on: the
C)
B)—
4
A)—
6
—
12
Use the following spinners to answer questions #80-81
r once.
Jared is going to perform an experiment in which he spins each spinne
Spinner3
Spinner2
Spinner I
Blue
Red
(neen
_—
second spinner will land on 3nd
80) What is the probability that the first spinner will land on B, the
jJ
the third spinner will land on Green?
A)
1
—
B)
8
1
—
C)
12
1
—
D)
24
—
4
second spinner will land on an even
81) What is the probability that the first spinner will land on A, the
number, and the third spinner will land on Blue?
A)
1
—
4
B)
1
—
8
C)
1
—
12
D)
—
24