MAT 152 Module Three Project 3 (2)

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. 125.4 2. Find the standard deviation of the MLB salaries. 47.8 3. Sketch the normal curve of the MLB salaries.

There are 30 teams in the league and four teams with a salary lower than 70 million so 4/30 = 2/15 = .1333 b. find the probability he will play for a team that has a total salary of more than $125 million. 15/30=.5 c. find the probability he will be play for a team that has a total salary between $60 and $100 million. 11/30=.3667 7. What percent of the teams have a total salary of more than $200 million ? 2/30*100 = 6.6667% 8. 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. .15*30=4.5 so team number five and below Oakland Athletics Miami Marlins Tampa Bay Rays Milwaukee Brewers Atlanta Braves

9. Describe any patterns or trends observed. The most famous teams are in big city, with a big budget.