An article in The Wall Street Journal (July 11, 2008) outlined a number of reaso
ID: 3021934 • Letter: A
Question
An article in The Wall Street Journal (July 11, 2008) outlined a number of reasons as to why the 16 teams in Major League Baseball's National League (NL) are inferior to the 14 teams in the American League (AL). One reason for the imbalance pointed to the disparity in opening-day payrolls: the average AL payroll is greater than the NL average. A portion of the data showing opening-day payroll for each team is shown in the accompanying table; the entire data set, labeled MLB Salaries, can be found on the text website Excel Data File Data for Case Study 3.1 Major League Baseball's Opening-Day Payrolls, 2010 FILE American Leaque Payroll $206,333,389 Cago Cubs Payroll 146,609,000 National League New York Yankees Boston Red Sox 162,447,333 Philadelphia Phillies 141,928,379 SOURCE: httpl /www.biz ofbaseball In a report, use the sample information to 1. Discuss the mean and the median of AL and NL opening-day salaries and comment on skewness 2. Compare the range and the standard deviation of AL and NL opening-day salaries 3. Use these summary measures to comment on the findings in The Wall Street Journal.Explanation / Answer
AL
NL
Mean
95820000
83890000
Median
84060000
84330000
Skewness
1.284
-0.125
Result: From the table we conclude that the average pay of AL is higher than
NL it means that average pay is significantly higher of AL.
From the ALpay scale, Mean is greater than Median it means that the given data is positively skewed. From the data median in NL are higher than AL.
***
AL
NL
Range
95820000
83890000
Standard deviation
84060000
84330000
Result: From the table we conclude that the Range of the salaries from AL are higher than NL.
Standard deviation from NL is higher than AL, it means that variation in the salaries from AL are less, so AL is shows better than NL.
AL
NL
Mean
95820000
83890000
Median
84060000
84330000
Skewness
1.284
-0.125
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