Expert answer:Elementary Statistics
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Math 185 – Elementary Statistics
Name___________________________________
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HW #4 – Worth 56 points
Date________________
Find the median, lower quartile, upper quartile, and interquartile range for each data set (Each
worth 4 points).
1)
Campers at National Parks
Park
Tent Campers
Curecanti
10,587
Sequoia
108,616
Big Bend
37,575
Assateague Island
34,004
Pictured Rocks
12,063
Great Basin
19,651
Yellowstone
84,343
Wind Cave
5,587
Katmai
2,757
Park
Tent Campers
Greenbelt Park
6,942
Everglades
8,677
Guadalupe Mountains
7,810
Black Canyon of the Gunnison
9,479
Lake Roosevelt
59,257
Glen Canyon
4,403
Acadia
109,035
Devils Tower
5,023
A) Median = 12,091, Q1 = 2,944.5, Q3 = 60,963 and IQR = 58,018.5
B) Median = 9,106, Q1 = 3,897.5, Q3 = 28,226 and IQR = 24,328.5
C) Median = 7,486, Q1 = 3,244.5, Q3 = 75,347.5 and IQR = 72,103
D) Median = 10,587, Q1 = 6,264.5, Q3 = 48,416 and IQR = 42,151.5
2)
Large US Cities
City
Population
Boise
205,671
Orlando
238,300
Denver
600,158
City
Population
Aurora
325,078
Madison
233,209
North Las Vegas 216,961
City
Population
New Orleans 343,829
Baltimore
620,961
Durham
228,330
Riverside
Honolulu
Buffalo
303,871
337,256
City
Population
Tulsa
391,906
Irving
216,290
San Bernardino 209,924
261,310
A) Median = 257,729, Q1 = 228,330, Q3 = 459,787 and IQR = 231,457
B) Median = 261,310, Q1 = 216,961, Q3 = 343,829 and IQR = 126,868
C) Median = 324,528, Q1 = 216,290, Q3 = 583,756 and IQR = 367,466
D) Median = 324,528, Q1 = 229,493, Q3 = 600,158 and IQR = 370,665
Worksheet by Kuta Software LLC
-1-
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3)
Minutes to Run 5km
21.4
39
34.7
28.8
33.5
26.5
43.7
31.6
39
40
32.3
32
32
39.6
30.5
39.6
35.7
38.2
32.8
42.6
35.7
33.3
36
A) Median = 32.3, Q1 = 27,
Q3 = 36.5 and IQR = 9.5
B) Median = 34.7, Q1 = 32, Q3 = 39
and IQR = 7
C) Median = 33.7, Q1 = 29.1,
Q3 = 36.1 and IQR = 7
D) Median = 33.6, Q1 = 31, Q3 = 36
and IQR = 5
4)
Academy Awards
Movie
# Awards
Mrs. Miniver
6
Gladiator
5
The Silence of the Lambs
5
Dances with Wolves
7
The Great Ziegfeld
3
Patton
7
Kramer vs. Kramer
5
Movie
# Awards
Going My Way
7
American Beauty
5
The Greatest Show on Earth
2
All the King’s Men
3
Marty
4
Gentleman’s Agreement
3
It Happened One Night
5
Movie
# Awards
Platoon
4
The Hurt Locker
6
Driving Miss Daisy
4
Around the World in 80 Days
5
The Artist
5
Million Dollar Baby
4
The King’s Speech
4
A) Median = 5, Q1 = 3.5, Q3 = 6.5 and IQR = 3
B) Median = 5, Q1 = 4, Q3 = 5.5 and IQR = 1.5
C) Median = 5, Q1 = 4, Q3 = 7.5 and IQR = 3.5
D) Median = 5, Q1 = 3.5, Q3 = 7 and IQR = 3.5
Worksheet by Kuta Software LLC
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Draw a box-and-whisker plot for each data set. (Each worth 2 points)
5)
Basketball Tournament
School
Appearances
North Florida
1
Iowa
24
South Carolina
8
Ohio
13
UTEP
17
School
Appearances
Alcorn State
6
South Alabama
8
Illinois State
6
Florida State
14
Loyola (MD)
2
A)
School
Appearances
Michigan State
29
UIC
3
Vermont
5
Florida A&M
3
Western Michigan
4
B)
4
8
12
16
20
24
4
C)
8 12 16 20 24 28 32
D)
4
6)
8
12
16
20
24
28
4
8
12
16
20
24
Age at First Job
16
17
15
23
19
16
18
14
14
16
16
16
12
18
11
23
11
A)
12
14
16
18
20
22
24
12
14
16
18
20
22
12
14
16
18
20
22
12
14
16
18
20
22
B)
C)
D)
7)
Melting Point
Substance
°C
Substance
°C
Glycerol
17.8
Sulphuric Acid 10.3
Calcium
842
Tin
Cobalt
Water
Radium
Zinc
Titanium 1,668
Iron
1,538
699.8
419.5
231.9
1,495
0
A)
Substance
°C
Substance
°C
Substance
°C
Uranium 1,132
Carbon 3,550
Copper 1,085
Phosphorus 44.2
Platinum 1,768
Sulphur
115.2
Silicon
1,414
Silver
961.8
Potassium 63.4
Argon
Sodium
Aluminum 660.3
189.2
97.7
B)
0
1000
2000
3000
C)
0
1000
2000
3000
0
1000
2000
3000
D)
0
800
1600
2400
3200
Worksheet by Kuta Software LLC
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8)
Goals in a Hockey Game
4
5
7
5
7
3
3
5
5
7
4
7
6
10
4
3
7
5
7
5
9
A)
3
4
5
6
7
8
9
10 11
3
4
5
6
7
8
9
10 11
3
4
B)
C)
5
6
7
8
6
7
9 10 11 12
D)
3
4
5
8
9
10
Represent the sample space using set notation. (Each worth 2 points)
9) There are two dimes and a nickel in your
pocket. You randomly pick a coin.
A) {nickel}
B) {dime₁, dime₂, nickel}
C) {coin, nickel}
D) {dime}
10) A coffee shop offers French roast and Italian
roast coffee.
A) {Italian roast}
B) {French roast, Italian roast}
C) {French roast}
D) {coffee, French roast}
11) A jewelry store sells rings with either a ruby,
sapphire, emerald, or diamond gemstone.
A) {ruby, sapphire, emerald}
B) {gemstone, ruby, sapphire, emerald, diamond}
C) {ruby, sapphire, emerald, diamond}
D) {ruby}
12) You roll a six-sided die.
A) {1, 2, 3, 4, 5, 6}
B) {six-sided die, 6}
C) {1, 2, 3}
D) {1, 3, 5}
Worksheet by Kuta Software LLC
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13) A spinner can land on either red, blue, or
green. You flip a coin and then spin the
spinner.
A) {(H, R), (H, B), (H, G)}
B) {(H, R), (T, R)}
C) {(H, H), (H, T),
(T, H), (T, T)}
D) {(H, R), (H, B), (H, G),
(T, R), (T, B), (T, G)}
14) A hot dog stand offers both small and large
hot dogs. Each hot dog can be ordered plain
or with mustard.
A) {(P, P), (P, M),
B) {(S, S), (S, L),
(M, P), (M, M)}
(L, S), (L, L)}
C) {(S, P), (S, M),
D) {(S, P), (L, P)}
(L, P), (L, M)}
15) A soccer player takes two penalty kicks in a
game. Each attempt results in a goal or a
miss.
A) {(G, M, G, M)}
B) {(G, G), (G, M),
(M, G), (M, M)}
C) {(G, G), (G, M)}
D) {(G, G), (M, M)}
16) A new car is available in a sedan model and
a hatchback model. It is available in red,
white, green, and black.
A) {(S, R), (H, R)}
B) {(S, S), (S, H),
(H, S), (H, H)}
C) {(S, R), (S, W), (S, G), (S, B),
(H, R), (H, W), (H, G), (H, B)}
D) {(S, R), (S, W), (S, G), (S, B)}
Find the probability. (Each worth 2 points)
17) There are eleven shirts in your closet, three
blue, three green, and five red. You
randomly select one to wear. It is blue or
green.
6
A)
» 0.545
11
2
C)
» 0.154
13
18) A magazine contains fourteen pages. You
open to a random page. The page number is
ten or twelve.
3
= 0.75
4
1
C) » 0.143
7
A)
8
B)
» 0.727
11
3
D) = 0.75
4
1
» 0.333
3
2
D) » 0.667
3
B)
19) A litter of kittens consists of three gray
kittens, two black kittens, and two
mixed-color kittens. You randomly pick one
kitten. The kitten is gray or mixed-color.
5
» 0.833
6
11
C)
» 0.846
13
A)
5
» 0.714
7
2
D) » 0.286
7
B)
Worksheet by Kuta Software LLC
-5-
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Find the probability for each question. (Each worth 2 points)
20) A sales representative who visits customers
at home finds she sells 0, 1, 2, 3, or 4 items
according to the following frequency
distribution.
21) A sales representative who visits customers
at home finds she sells 0, 1, 2, 3, or 4 items
according to the following frequency
distribution.
Items sold
Frequency
—————————–0
8
1
10
2
3
3
2
4
1
Items sold
Frequency
—————————–0
8
1
10
2
3
3
2
4
1
Find the probability that she sells exactly
one item.
Find the probability that she sells more than
two items
A)
2
3
B)
5
12
C) 1
D)
1
8
A)
1
12
B)
1
4
C)
5
12
D)
1
8
22) A sales representative who visits customers
at home finds she sells 0, 1, 2, 3, or 4 items
according to the following frequency
distribution.
Items sold
Frequency
—————————–0
8
1
10
2
3
3
2
4
1
Find the probability that she sells at most
three items.
A)
2
3
B)
1
12
C)
1
4
D)
23
24
Worksheet by Kuta Software LLC
-6-
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(Each worth 2 points) Use this scenario to answer the next three questions: A recent study of 300
patients found that of 100 alcoholic patients, 87 had elevated cholesterol levels, and of 200
nonalcoholic patients, 43 had elevated cholesterol levels. If a patient is selected at random, find
the indicated probability.
23) Find the probability that the patient is an
alcoholic with elevated cholesterol level.
29
100
13
C)
30
A)
24) Find the probability that the patient is a
nonalcoholic.
17
30
1
D)
3
17
30
157
C)
300
B)
A)
13
300
2
D)
3
B)
25) Find the probability that the patient is a
nonalcoholic with normal cholesterol levels.
43
300
13
C)
300
A)
157
300
17
D)
30
B)
Worksheet by Kuta Software LLC
-7-
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…
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