MAT 152 Project 3: MLB Team Salaries

The data set below is the total salary of each Major League Baseball (MLB) team salaries per team in 2016. Find the probabilities for normal distributions and specified data values using the salaries below. Round probability and percent with four digits, all other answers to one decimal place. All MLB teams are listed.

Team	Team Abbreviation	League	Salary ($M)	Wins	Losses
Arizona Diamondbacks	ARI	NL	92.00	69	93
Atlanta Braves	ATL	NL	77.07	68	93
Baltimore Orioles	BAL	AL	141.74	89	73
Boston Red Sox	BOS	AL	198.33	93	69
Chicago Cubs	CHC	NL	163.81	103	58
Chicago White Sox	CHW	AL	113.91	78	84
Cincinnati Reds	CIN	NL	80.91	68	94
Cleveland Indians	CLE	AL	92.65	94	67
Colorado Rockies	COL	NL	103.60	75	87
Detroit Tigers	DET	AL	192.31	86	75
Houston Astros	HOU	AL	89.06	84	78
Kansas City Royals	KCR	AL	136.56	81	81
Los Angeles Angels	LAA	AL	160.99	74	88
Los Angeles Dodgers	LAD	NL	248.32	91	71
Miami Marlins	MIA	NL	64.02	79	82
Milwaukee Brewers	MIL	NL	51.20	73	89
Minnesota Twins	MIN	AL	99.81	59	103
New York Mets	NYM	NL	128.41	87	75
New York Yankees	NYY	AL	221.57	84	78
Oakland Athletics	OAK	AL	80.61	69	93
Philadelphia Phillies	PHI	NL	91.62	71	91
Pittsburgh Pirates	PIT	NL	95.84	78	83
San Diego Padres	SDP	NL	94.12	68	94
San Francisco Giants	SEA	AL	166.74	86	76
Seattle Mariners	SFG	NL	139.80	87	75
St. Louis Cardinals	STL	NL	143.51	86	76
Tampa Bay Rays	TBR	AL	60.07	68	94
Texas Rangers	TEX	AL	158.68	95	67
Toronto Blue Jays	TOR	AL	131.91	89	73
Washington Nationals	WSN	NL	142.50	95	67

Find the probabilities for normal distributions and specified data values using the salaries below. Round probability and percent with four digits, all other answers to one decimal place. All MLB teams are listed.

1. Find the mean of the MLB salaries.

1. Find the standard deviation of the MLB salaries.

1. Sketch the normal curve of the MLB salaries.

1. Are there any unusual MLB salaries? List the team(s) and show your work to justify your answer.

1. Do you believe teams are fairly paid? Explain.

1. Your family member is considering a profession in Major League Baseball. If he is chosen for the draft:
   1. find the probability he will play for a team that has a total salary of less than $70 million.

1. find the probability he will play for a team that has a total salary of more than $125 million.

1. find the probability he will be play for a team that has a total salary between $60 and $100 million.

1. What percent of the teams have a total salary of more than $200 million?

1. Your family member believes he is pretty good, but it may take him some time to climb up the ladder. He believes the team that drafts him will be in the bottom 15% of the salaries. What team(s) fall into this category? Show your work.

1. Describe any patterns or trends observed.