Mathematics for Practical Applications - Baseball
Exam File
Spring 2010
Exam #1
In exercises #1 - 5, a statement is given. For each exercise, identify one AND ONLY
ONE of our fallacies that is exhibited in that statement. GIVE A DETAILED
EXPLANATION TO JUSTIFY YOUR CHOICE. DO NOT USE THE SAME ANSWER
TWICE.
1.)
2.)
3.)
4.)
5.)
"He's made his last five shots so he's bound to miss this one."
"Who is going to win the World Series this year, the Yankees or the Nationals?"
"Derek Jeter does that Ford commercial so I'm going to buy a Ford. Jeter
wouldn't do the commercial if Ford's weren't great cars."
"A-Rod isn't a very good fielding shortstop. After all, in 2008, he had more
strikeouts than RBIs."
"Barry Bonds is such a jerk, he can't be the best hitter of all time."
6.)
The part of a major league infield that is inside the bases is a square that is 90
feet on each side. How many acres is that? You must show the use of units
and conversion factors.
7.)
Suppose you went back in time 1,000,000,000 (1 billion) seconds. What year
would it be?
8.)
If a pitch is thrown 97 miles per hour, how fast is it in meters per second?
9.)
CC Sabathia signed a contract with the New York Yankees for $161 million.
Convert the contract amount to Mexican pesos. You must show the use of
units and conversion factors.
10.)
On September 10, 1960, Mickey Mantle hit a home run against Paul Foytack that
cleared the right-field roof at Tiger Stadium. Based on where it was found, it was
later estimated to have traveled 643 feet. How many millimeters did the ball
travel? You must show the use of units and conversion factors.
11.)
A person is interested in finding out what college football team people in the
United States like most. In order to do that, he does a survey by asking people in
Arkansas what their favorite college football team is. Are his results likely to be
representative of Americans? Why or why not?
12.)
CNN is doing a poll on their web site. Explain why this poll is biased.
13.)
For each of the following, tell whether it is an example of a qualitative statistic or a
quantitative statistic.
a.)
b.)
c.)
d.)
14.)
height of people who play baseball professionally
number of times a batter strikes out with men on base and less than two out
eye color of students at Henderson State University
percentage of freshmen students at Henderson State University who finish
with a GPA of 3.0 or higher
Name five different rule changes or changes in style of play that we discussed that
make it difficult to compare statistics over different eras of baseball history.
Exam #2
1.)
2.)
3.)
4.)
5.)
In 1972, Nate Colbert, first baseman of the Padres, had 111 runs batted in. The
entire team only scored 488 runs. What percentage of the Padres' runs did
Colbert knock in?
In 2004, Albert Pujols of the St. Louis Cardinals was paid $7,000,000. For 2005,
his salary went up 57.14285714%. For 2006, his salary went up 27.27272727%.
What was his 2006 salary?
A car was on sale for $10,875. That was 13% off the original price. What was the
original price?
The following chart shows the number of times Baby Doll Jacobson was hit by
pitches (HBP) during 1920 to 1925.
Year
1920
1921
1922
1923
1924
1925
HBP
2
3
9
2
4
1
YOU MAY NOT USE YOUR CALCULATOR FOR THIS PROBLEM. YOU MUST
SHOW ALL WORK AND GIVE AN EXPLANATION OF HOW YOU GOT YOUR
ANSWERS. Find the following for the numbers of HBP in those seasons.
a.)
the mean
b.)
the median
c.)
the mode
The following are the major league leaders in at bats (AB) from 1960.
Name
AB
Name
AB
Hank Aaron
590
Don Hoak
553
Luis Aparicio
600
Tony Kubek
568
Ernie Banks
597
Jerry Lumpe
574
Ken Boyer
552
Frank Malzone
595
Bill Bruton
629
Willie Mays
595
Orlando Cepeda
569
Minnie Minoso
591
Roberto Clemente 570
Vada Pinson
652
Rocky Colavito
555
Vic Power
580
Nellie Fox
605
Brooks Robinson
595
Billy Gardner
592
Bob Skinner
571
Jim Gilliam
557
Tony Taylor
581
Dick Groat
573
Bill Tuttle
559
Bill White
554
For the above data, find the following.
a.)
minimum
b.)
lower quartile
c.)
median
d.)
g.)
upper quartile
mode
e.)
maximum
f.)
mean
6.)
Comparisons
a.)
Harmon Killebrew and Tony Oliva both played for the 1966 Minnesota
Twins. Killebrew's batting average was .281. Oliva's was .307. Explain
why this does not necessarily indicate that Oliva was a better hitter that
year. Give at least two reasons.
b.)
In 1967, Sam McDowell of the Cleveland Indians struck out 236 batters.
In 1929, Lefty Grove of the Philadelphia Athletics struck out 170 batters.
Explain why this does not necessarily indicate that McDowell was a better
strikeout pitcher in 1967 than Grove was in 1929. Give at least two
reasons.
c.)
In 1879, the Providence Grays won 59 games. In 1966, the Chicago Cubs
won 59 games. Explain why this does not necessarily indicate that the
1966 Cubs and the 1879 Grays had the same level of success. Give at
least two reasons.
7.)
The following chart shows some batting statistics for Rogers Hornsby from 1924.
Fill in the blanks.
At
Bats
536
Hits
Doubles
Triples
227
43
14
8.)
The following are the pitching statistics for Steve Blass in 1973. Fill in the blanks.
9.)
10.)
Wins
Losses
3
9
Winning
Percentage
Home
Runs
25
Batting
Average
Earned Run
Average
On Base
Percentage
.507
Innings
Pitched
88.66
Hits
109
Slugging
Percentage
Earned
Runs
97
OPS
Total
Bases
Hits per
inning
The following are the standings for the National League East after the games of
September 3, 1986.
Team
W
L
New York Mets
Philadelphia Phillies
St. Louis Cardinals
Montreal Expos
Chicago Cubs
Pittsburgh Pirates
89
69
67
64
55
54
44
64
66
66
78
78
PCT
GB
---------
Magic Number for Mets to
eliminate team
---------
.519
.504
.414
-----------------
-----------------
The following table gives the major league leaders in OPS from 1930. Fill in the
blanks.
OPS
1
2
3
4
5
6
7
8
9
10
11.)
Babe Ruth
Lou Gehrig
Hack Wilson
Babe Herman
Al Simmons
Chuck Klein
Bill Terry
Jimmie Foxx
Chick Hafey
Lefty O'Doul
Receptions
14
69
13.)
.454
.455
1.130
1.123
1.071
.678
.708
.436
.452
.429
1.059
1.057
.619
.637
.652
.453
Receiving
Yards Yards per
Reception
Receptions
per Game
1602
Attempts
Rushing
Yards
3
-12
Yards
per
Attempt
The following are Wilt Chamberlain's statistics for the 1961-1962 NBA season.
Fill in the blanks.
Games
Field
Goals
Field Goals
Attempted
80
1597
3159
Field
Goal
%
Rebounds
Rebounds
per game
2052
Points
Points
per
Game
4029
The following are some statistics for Lady Reddies volleyball player Quen Banks
from 2008. Fill in the blanks.
Sets
played
104
14.)
1.194
1.177
Slugging Percentage
.732
.721
The following are Lance Alworth's statistics for the 1965 San Diego Chargers.
Fill in the blanks.
Games
12.)
On Base Average
.493
Kills
334
Kills
per set
Attack
Errors
141
Total
attacks
834
Kill
Percentage
Matching - For each item in Column B, place in the blank the number of the
associated name from Column A. Note that there are more choices in Column A
than in Column B. No answer should be used more than once.
Column A
Column B
1.)
1869 Cincinnati Red
Stockings
2.)
1884 Troy Trojans
3.)
Alan Roth
4.)
Albert Spalding
5.)
Art Richmond
6.)
Babe Ruth
7.)
Bill James
8.)
Bill Veeck
9.)
Branch Rickey
10.)
Henry Chadwick
11.)
John Heydler
12.)
John Lawres
13.)
Lee Allen
14.)
Richie Ashburn
________
________
________
________
________
________
________
________
________
________
"The Father of Baseball"
began collecting players' lifetime
statistics that were not available
anywhere, eventually publishing a
book, Who's Who in Baseball, in 1912
hired the first full-time statistician
In 1977, he published his first Abstract,
giving statistics along with analysis and
commentary. According to Schwarz,
he did more than anyone else to
popularize the study of baseball
statistics and analysis.
National League secretary and
statistics fanatic, particularly pitching
statistics
star pitcher, manager, helped form
National League in 1876, started
sporting goods company
the appeal of his home runs led
baseball to try to help increase power
hitting
the first openly professional team
was hired as first full-time statistician
Was the preeminent baseball historian
of the era of the 20th century
Exam #3
1.)
The following chart gives the number of triples Honus Wagner hit during his first
eight years in the major leagues. Draw a line graph to illustrate the data.
Year
Triples
1897
4
1898
3
1899
13
1900
22
1901
11
1902
16
1903
19
1904
14
2.)
The following pie chart shows the home run production for the 1962 Giants.
3.)
a.)
Who hit the most home runs for the 1962 Giants?
b.)
How many players hit home runs for the 1962 Giants?
c.)
The angle for the portion representing Willie Mays (the greatest all around
player in baseball history) is 86.47058824. If the team hit 204 home runs,
how many did Mays hit?
d.)
Three players hit more than 20 home runs. Who were they?
The following chart gives career statistics for Grover Cleveland Alexander.
Answer the questions below based on the information in the chart.
Year
W
L
W-L%
ERA
G
CG
SHO
IP
SO
1911
28
13
.683
2.57
48
31
7
367
227
1912
19
17
.528
2.81
46
25
3
310-1/3
195
1913
22
8
.733
2.79
47
23
9
306-1/3
159
1914
27
15
.643
2.38
46
32
6
355
214
1915
31
10
.756
1.22
49
36
12
376-1/3
241
1916
33
12
.733
1.55
48
38
16
389
167
1917
30
13
.698
1.83
45
34
8
388
200
1918
2
1
.667
1.73
3
3
0
26
15
1919
16
11
.593
1.72
30
20
9
235
121
1920
27
14
.659
1.91
46
33
7
363-1/3
173
1921
15
13
.536
3.39
31
21
3
252
77
1922
16
13
.552
3.63
33
20
1
245-2/3
48
1923
22
12
.647
3.19
39
26
3
305
72
1924
12
5
.706
3.03
21
12
0
169-1/3
33
1925
15
11
.577
3.39
32
20
1
236
63
1926
12
10
.545
3.05
30
15
2
200-1/3
47
1927
21
10
.677
2.52
37
22
2
268
48
1928
16
9
.640
3.36
34
18
1
243-2/3
59
1929
9
8
.529
3.89
22
8
0
132
33
a.)
b.)
c.)
d.)
4.)
b.)
c.)
d.)
3
.000
9.14
9
0
0
21-2/3
6
Total
373
208
.642
2.56
696
437
90
5190
2198
How many times did Alexander have an earned run average (ERA) below
2.00?
What was the most wins Alexander ever had in one season? What year?
How many wins did Christy Matthewson have in 1914?
What is the most consecutive seasons in which Alexander had at least
100 strikeouts (SO)?
Of these players, which one had the most doubles in 1937? How many
did he have?
Who led the National League in home runs in 1937?
Who led the National League in triples in 1937?
How many of these players had at least 10 home runs in 1937?
The following are the leader totals in triples for the 1986 Minnesota Twins.
7
6
5
4
6
4
Without using your calculator, find the following. Be sure to show or explain how
you got each answer.
a.)
d.)
6.)
0
The following chart shows the doubles, triples and home runs for all National
Leaguers with at least 10 triples in 1937. Answer the questions below.
a.)
5.)
1930
mean
maximum
b.)
e.)
median
minimum
c.)
mode
The following chart gives the strikeout leaders from 1964.
Name
Jim Bunning
Dean Chance
Tony Cloninger
Al Downing
Strikeouts
219
207
163
217
Name
Juan Marichal
Sam McDowell
Camilo Pascual
Orlando Pena
Strikeouts
206
177
213
184
Don Drysdale
Whitey Ford
Bob Gibson
Jim Kaat
Sandy Koufax
Denny Lemaster
Mickey Lolich
Jim Maloney
237
172
245
171
223
185
192
214
Gary Peters
Juan Pizarro
Dick Radatz
Chris Short
Dick Stigman
Bob Veale
Dave Wickersham
Earl Wilson
205
162
181
181
159
250
164
166
Find the following: (You may use your calculator)
a.)
mean
7.)
8.)
b.)
mode
c.)
five number summary:
minimum
lower quartile
median
upper quartile
maximum
In 1897, all three outfielders for the Phillies batted at least .400. Billy Hamilton hit
.404 and Sam Thompson and Ed Delahanty each hit .407. We will view their
batting averages as probabilities, assume that all at bats are independent events
and ignore walks, etc.
a.)
Assume that the three bat right after each other in one inning. What is the
probability that all three get hits?
b.)
Assume that the three bat right after each other in one inning. What is the
probability that all three make outs?
c.)
Assume that the three bat right after each other in one inning. What is the
probability that Hamilton gets a hit but Thompson and Delahanty make
outs?
d.)
If Delahanty has two at bats, what is the probability that he gets hits both
times?
e.)
If Hamilton bats six times, what is the probability he gets at least one hit?
f.)
If Delahanty and Hamilton bat, what is the probability that one, but not
both, gets a hit?
Consider the eight letters G, H, I, J, K, M, L, and N. For our purposes, a "word"
is ANY arrangement of letters.
a.)
How many four letter "words" can be made from these letters if repetitions
are allowed?
b.)
9.)
How many four letter "words" can be made from these letters if no
repetitions are allowed?
You flip three coins.
a.)
Draw a tree diagram to illustrate tossing the three coins.
b.)
Find the probability that at least two of the coins came up tails.
10.)
You are managing a baseball team and want to pick the nine players for a game.
On your team you have 10 pitchers, three catchers, six infielders and six
outfielders. You must choose a pitcher and a catcher. From the infielders, you
must pick a first baseman, a second baseman, a third baseman and a shortstop.
From the outfielders, you must pick three. How many different nine player
arrangements can you pick?
11.)
Fifteen people have formed a baseball team. We are interested in the number of
nine player batting orders that can be created from the fifteen players.
a.)
Is this a combination problem or a permutation problem?
b.)
How many different lineups are possible?
12.)
In 1920, Babe Ruth had the following probabilities for the given batting events.
made an out
0.624
singled
0.159
doubled
0.079
tripled
0.020
homered
0.118
What was the expected value for the number of bases Ruth would get on a given
at bat?
13.)
The following are the National League 1st baseman from 1997 with at least 400
plate appearances.
Andres Galarraga
David Segui
Eric Karros
Fred McGriff
J.T. Snow
Jeff Bagwell
Jeff Conine
Batting Homers
Average
.318
41
.307
21
.266
31
.277
22
.281
28
.286
43
.242
17
Runs
Batted In
140
68
104
97
104
135
61
Slugging
Fielding
Percentage Average
.585
.991
.505
.995
.459
.992
.441
.990
.510
.995
.592
.993
.405
.992
John Olerud
Mark Grace
Rico Brogna
Wally Joyner
14.)
22
13
20
13
102
78
81
83
.489
.465
.433
.486
.995
.995
.994
.996
a.)
Which player was the best? Give reasons for your answer.
b.)
Which player was the worst? Give reasons for your answer.
For each of the scatter plots below, answer the following questions. Put your
answers in the table below the graph.
a.)
b.)
c.)
d.)
e.)
f.)
15.)
.294
.319
.252
.327
Is there a correlation in the data? Write "Yes" or "No."
Give a reason for your answer in a.).
If you said "yes" in a.), is the correlation strong or weak? Write "strong" or
"weak." If your answer to a.) was "no" then write N/A.
Give a reason for your answer in c.). If your answer to a.) was "no" then
write N/A.
If you said "yes" in a.), is the correlation positive or negative? Write
"positive" or "negative." If your answer to a.) was "no" then write N/A.
Give a reason for your answer in e.). If your answer to a.) was "no" then
write N/A.
Fill in the blank
a.)
______________________ is the man cited in Schwarz's book for starting
www.retrosheet.org.
b.)
______________________ invented the pie chart.
Exam #4
1.)
You put $2500 in the bank. The account gets an annual percentage rate of
interest of 1.21% compounded quarterly. The money is left in the account for 4
years. No other money is added or removed from the accounts.
a.)
Without inserting any numbers, write the formula you will need for this
problem.
b.)
Without doing any simplification, insert the right numbers in the right
places in the formula.
c.)
2.)
3.)
4.)
How much money will you have at the end of four years?
You start putting money in your retirement fund at age 23. You put in $400 each
month. The interest of 10.25% is compounded monthly. You retire at age 65.
a.)
Without inserting any numbers, write the formula you will need for this
problem.
b.)
Without doing any simplification, insert the right numbers in the right
places in the formula.
c.)
How much money will you have at age 65?
d.)
What is the total of all of your payments?
e.)
How much interest did your money earn?
Maher-Shalal-Hash-Baz started putting money in a college savings account. He
wants to have $125,000 in 18 years when his son will be ready for college. The
interest rate of 5.5% is compounded quarterly. He'll make quarterly payments.
a.)
Without inserting any numbers, write the formula you will need for this
problem.
b.)
Without doing any simplification, insert the right numbers in the right
places in the formula.
c.)
How much money will he have to pay each quarter?
d.)
What is the total of all of his payments?
e.)
How much interest did his money earn?
You are buying a house. After the down payment, you need to borrow $105,000.
You will take out a mortgage to cover the remaining cost of the house. The interest
rate for your 30 year mortgage is 4.35%.
a.)
Without inserting any numbers, write the formula you will need for this
problem.
b.)
Without doing any simplification, insert the right numbers in the right
places in the formula.
c.)
What will be your monthly payment?
d.)
What will be the total of all of your monthly payments?
e.)
How much interest will you pay over the life of the loan?
5.)
Find the area and perimeter of the following parallelogram. All measurements
are in feet.
6.)
The window below is shaped like a rectangle with a semi-circle on top. What are
the area and perimeter of the window? Give at least 4 places to the right of the
decimal point.
7.)
A conical container has a height of 2 feet and a diameter of one yard. Find the
volume and surface area. Give at least 4 places to the right of the decimal point.
8.)
In 1985, the highest paid major league baseball player made $2,130,300. In
1986, the highest paid player earned $2,800,000. That was an increase of
31.4369%. If salaries continued to grow exponentially at that rate, what would
the highest paid player have earned in 2005? (The highest paid player in 2005
made $26,000,000.)
9.)
Below is the 1923 baseball design of the Polo Grounds in New York City.
Approximate the area (in acres) of fair territory. BE SURE TO SHOW
ALL OF YOUR WORK.
10.)
Explain the difference between elections that are determined by majority and
plurality voting.
11.)
Suppose a ball is hit from a height of 4 feet with a velocity of 79 miles per hour
(115.8667 feet per second) at an angle of elevation of 43. Find the following.
a.)
how far it travels
b.)
if it is a home run over an 8 foot tall fence at 400 feet (explain the
reasoning for your answer)
12.)
Define a super-majority vote. Give examples of two elections that require a
super-majority vote. Be sure to give the percentage or fraction required in each
vote.
13.)
Suppose the following are the votes received for the Most Valuable Player.
a.)
Calculate the total points for each player shown. (1st place gets 14 points,
2nd place gets 9, 3rd place gets 8, 4th place gets 7, 5th place gets 6, 6th
place gets 5, 7th place gets 4, 8th place gets 3, 9th place gets 2, 10th
place gets 1)
Player, Club
David Wright, NYM
Albert Pujols, STL
1st 2nd 3rd 4th 5th 6th 7th 8th 9th 10th Points
10 15 6 1
5
3
5
4
4
11
Ryan Howard, PHI
b.)
2
7
8
4
3
7
1
What is the type of vote that this represents?
Final Exam
In exercises #1 - 3, a statement is given. For each exercise, identify one AND ONLY
ONE of our fallacies that is exhibited in that statement. Do not use the same fallacy for
two different problems. GIVE A DETAILED EXPLANATION TO JUSTIFY YOUR
CHOICE.
1.)
2.)
3.)
"More people drink Coca Cola than any other soft drink so it must be good."
"The Cubs haven't won the world series for 104 years so they are due to win this
year."
"Derek Jeter did a commercial for Ford so I'm going to go buy a Ford. After all,
Jeter wouldn’t endorse a bad car."
4.)
The area inside the base paths in baseball is a 90 foot by 90 foot square.
a.)
What is that area in acres?
b.)
What is that area converted to meters?
5.)
If Jose Reyes hits an inside the park home run, running 385 feet (the base paths
would be 360 feet but a 90 degree turn is tough) in 12.5 seconds, then what is
his average speed in miles per hour?
6.)
C.C. Sabathia, a pitcher for the Yankees, is 6'7" tall and weighs 290 pounds.
Convert his weight to kilograms and his height to meters. ALL NECESSARY
WORK MUST BE SHOWN!! YOU MUST SHOW THE USE OF UNITS!!
7.)
In 1920, Babe Ruth hit 54 home runs for the Yankees. As a team, the Yankees
hit a total of 115 home runs. The next highest team total in the league was the
St. Louis Browns' total of 50, so Ruth out homered every other team in the
league. The entire league hit 369 home runs.
a.)
What percentage of the league's home runs were hit by Babe Ruth?
b.)
What percentage of the league's home runs were hit by Yankees?
8.)
In 2005, Jose Guillen was paid $3,500,000. That was a raise of 59.09090909%
from his 2004 salary. How much was he paid in 2004?
9.)
In 2008, Jose Guillen had 598 at bats, 158 hits, 42 doubles, one triple and 20
home runs.
a.)
What was his batting average?
b.)
What percentage of his hits were doubles?
c.)
How many total bases did he have?
d.)
What was his slugging percentage?
In 1915, Grover Cleveland Alexander had 31 wins, 10 losses, 376.333 innings
10.)
pitched, 241 strikeouts and allowed 51 earned runs.
a.)
What was his winning percentage?
b.)
What was his earned run average?
c.)
How many strikeouts did he have per inning?
11.)
The following table gives career statistics for William "Baby Doll" Jacobson. He
was not in the major leagues in 1916 or 1918.
Year AB
R
H
2B 3B HR RBI BA
TB
1915 180
18
38
12
3
1
13 .211
59
1917 529
53
131
23
7
4
55 .248 180
1919 455
70
147
31
8
4
51 .323 206
1920 609
97
216
34 14
9
122 .355 305
1921 599
90
211
38 14
5
90 .352 292
1922 555
88
176
22 16
9
102 .317 257
1923 592
76
183
29
6
8
81 .309 248
1924 579 103 184
41 12 19
97 .318 306
1925 540 103 184
30
9
15
76 .341 277
1926 576
62
172
51
2
8
90 .299 251
1927 293
27
72
17
3
1
42 .246
98
totals 5507 787 1714 328 94 83 819 .311 2479
a.)
12.)
What was the most home runs (denoted HR) he hit in a season? What
year?
b.)
How many times was his batting average (denoted BA) higher than his
career batting average?
c.)
How many doubles (denoted 2B) did Tris Speaker have in 1923?
d.)
How many times did Jacobson have at least 120 singles? (hint: enough
information IS given to answer this question)
The following chart shows the major league pitchers who had at least 250 innings
pitched in 1966.
Bob Gibson
Bob Veale
Chris Short
Denny McLain
Earl Wilson
Gaylord Perry
Jim Bunning
Jim Kaat
Juan Marichal
Sandy Koufax
a.)
Innings
Pitched
280
268
272
264
264
255-2/3
314
304-2/3
307
323
Wins
Losses
Walks
21
16
20
20
18
21
19
25
25
27
12
12
10
14
11
8
14
13
6
9
78
102
68
104
74
40
55
55
36
77
Strike
Outs
225
229
177
192
200
201
252
205
222
317
Earned Run
Average
2.44
3.02
3.54
3.92
3.07
2.99
2.41
2.75
2.23
1.73
Draw a bar graph to illustrate the number of wins for these pitchers.
b.)
13.)
Based on these statistics, tell who you think were the four best among
these pitchers. Give a detailed argument.
The following chart gives the major league leaders in extra base hits from 1929.
Al Simmons
Babe Herman
Babe Ruth
Charlie Gehringer
Chick Hafey
Chuck Klein
Dale Alexander
Don Hurst
Earl Averill
a.)
b.)
c.)
d.)
e.)
f.)
g.)
h.)
84
76
78
77
85
94
83
64
74
George Kelly
Hack Wilson
Harry Heilmann
Heinie Manush
Jim Bottomley
Jimmie Foxx
Johnny Frederick
Lefty O'Doul
Lew Fonseca
59
74
63
61
72
65
82
73
65
Lou Gehrig
Mel Ott
Mule Haas
Paul Waner
Pinky Whitney
Riggs Stephenson
Rogers Hornsby
Roy Johnson
Tony Lazzeri
77
81
66
73
65
59
94
69
66
What is the mean?
What is the median?
What is the mode?
What is the minimum?
What is the lower quartile?
What is the upper quartile?
What is the maximum?
Who hit the most home runs in major leagues in 1929?
14.)
The Mets are going to start the following people in a game: Johan Santana, Rod
Barajas, Luis Castillo, Ike Davis, Jose Reyes, David Wright, Jason Bay, Jeff
Francoeur, and Angel Pagan. Santana is going to bat 9th. Either Pagan or
Reyes will bat 1st or 2nd. Davis, Wright, Bay and Francoeur are going to bat 3rd,
4th, 5th and 6th (though not necessarily in that order). Castillo and Barajas will
bat 7th or 8th. How many different lineups can the Mets use?
15.)
The following chart lists the players with the most home runs from 2005-2009. It
also tells how many doubles and triples each of these players had.
a.)
b.)
c.)
d.)
e.)
f.)
g.)
h.)
16.)
Which player hit the most home runs from 2005-2009?
Which major leaguer had the most doubles from 2005-2009?
How many home runs did Albert Pujols hit from 2005-2009?
How many home runs did Miguel Cabrera hit in 2007?
Of these players, which player had the most triples from 2005-2009?
How many players had at least 200 home runs from 2005-2009?
Of these players, how many had at least 150 doubles from 2005-2009?
Who does Dr. Worth think is the best baseball player of all time?
The following chart shows the breakdown of number of games won by the
pitchers on the 1916 Philadelphia Athletics. The team won a total of 36 games.
a.)
b.)
c.)
d.)
e.)
Who won the most games for the 1916 Athletics?
How many games did Elmer Myers win?
Add up the seven percentages. Explain why they don't add up to 100%.
How many games did Socks Seibold lose for the 1916 Athletics?
How many pitchers won at least two games for the 1916 Athletics?
f.)
g.)
h.)
17.)
The 1916 Athletics lost 117 games. What percentage of their games did
they win?
Who led the American League in wins in 1916?
According to the notes for this class, who invented the pie chart?
For the 1894 Phillies, Sam Thompson had a batting average of .415, Ed
Delahanty hit .404 and Billy Hamilton hit .403. Using the batting averages as
probabilities of getting a hit, answer the following questions.
a.)
b.)
c.)
d.)
If the three players each bat, what is the probability all three will get a hit?
If the three players each bat, what is the probability all three make outs?
If the three players each bat, what is the probability at least one will get a
hit?
If Thompson bats six times, what is the probability he will get at least one
hit?
18.)
a.)
b.)
c.)
19.)
You put $5400 in the bank. The account gets an annual percentage rate of
interest of 1.21% compounded quarterly. The money is left in the account for 3
years. Throughout the problem, we assume no other money is added or
removed from the accounts.
a.)
b.)
c.)
20.)
WITHOUT SUBSTITUTING IN ANY NUMBERS, write the formula you will
use to find the amount of money you will have at the end of three years.
WITHOUT SIMPLIFYING ANYTHING, insert the numbers into the formula
you will use to find the amount of money you will have at the end of three
years.
How much money will you have at the end of three years?
Mephibosheth started putting money in a college savings account. He wants to
have $110,000 in 18 years when his son will be ready for college. The interest
rate of 5.75% is compounded quarterly.
a.)
b.)
c.)
d.)
21.)
Draw a tree diagram to illustrate the flipping of three coins.
What is the probability of getting at least two heads?
What is the probability of getting at least one tail?
Without inserting any numbers, write out the formula that will figure out the
amount of money Mephibosheth will have to put in the account each
quarter.
Without doing any simplification, insert all of the numbers into the formula.
How much money will he have to pay each quarter?
What is the total of all of his payments?
You are buying a house. After the down payment, you need to borrow $112,000.
You will take out a mortgage to cover the remaining cost of the house. The interest
rate for your 30 year mortgage is 4.655%. Throughout the problem we will ignore
escrow payments that might be added to the payment for insurance and taxes.
a.)
b.)
c.)
d.)
e.)
WITHOUT SUBSTITUTING IN ANY NUMBERS, write the formula you will
use to find the monthly payment on this loan.
WITHOUT SIMPLIFYING ANYTHING, insert the correct numbers into the
formula.
What will be your monthly payment?
What will be the total of all of your monthly payments?
How much interest will you pay over the life of the loan?
22.)
Mineral Springs, Arkansas had a population of 546 in 1880. By 1900, it had lost
half of its population. Assuming the population continued to decline exponentially
at the same rate, what would the population be in 2005? (Note: the actual 2000
population was 1,264.)
23.)
A cylindrical storage drum has a height of 2 feet and a diameter of one yard.
Find the volume and surface area. GIVE AT LEAST 4 PLACES TO THE RIGHT
OF THE DECIMAL POINT!!
The window below is shaped like a rectangle with a semi-circle on top. What are
the area and perimeter of the window? GIVE AT LEAST 4 PLACES TO THE
RIGHT OF THE DECIMAL POINT!!
24.)
25.)
The following chart shows the leading vote getters for the American League Cy
Young Award in 2007.
a.)
If the players get 5 points for a first place vote, 3 for a second place vote
and one for a 3rd place vote, fill in the total points for each player.
Pitcher
1st
2nd
3rd
Total
John Lackey, L.A.
1
5
16
Josh Beckett, Bos
8
14
4
CC Sabathia, Cle
19
8
0
b.)
What type of vote is this?