Refer to the Baseball 2008 data, which report information on the 30 Major League Baseball teams for the 2008 season.

a. Select the variable that refers to the year in which the stadium was built. (Hint: Subtract the year in which the stadium was built from the current year to find the age of the stadium and work with this variable.) Develop a box plot. Are there any outliers?

b. Select the variable team salary and draw a box plot. Are there any outliers? What are the quartiles? Write a brief summary of your analysis. How do the salaries of the New York Yankees compare with the other teams?

c. Draw a scatter diagram with the number of games won on the vertical axis and the team salary on the horizontal axis. What are your conclusions?

d. Select the variable wins. Draw a dot plot. What can you conclude from this plot?

Baseball 2008 Data |
||||||

Team |
Size |
Salary ($ Mil) |
Wins |
Attendance |
Year |
Average |

Arizona Diamondbacks |
49033 |
66.2 |
82 |
2.51 |
1989 |
$512,930 |

Atlanta Braves |
50091 |
102.4 |
72 |
2.53 |
1990 |
$578,930 |

Baltimore Orioles |
48876 |
67.2 |
68 |
1.95 |
1991 |
$891,188 |

Boston Red Sox |
39928 |
133.4 |
95 |
3.05 |
1992 |
$1,084,408 |

Chicago Cubs |
41118 |
118.6 |
89 |
3.30 |
1993 |
$1,120,254 |

Chicago White Sox |
40615 |
121.2 |
97 |
2.50 |
1994 |
$1,188,679 |

Cincinnati Reds |
42059 |
74.3 |
74 |
2.06 |
1995 |
$1,071,029 |

Cleveland Indians |
43345 |
79.0 |
81 |
2.17 |
1996 |
$1,176,967 |

Colorado Rockies |
50445 |
68.7 |
74 |
2.65 |
1997 |

Answer:

Step 1 of 4:

(a)

We are asked to develop a box plot of the age of the stadium.

Are there any outliers?

we need to find a box plot of the age of the stadium by subtracting the year in which the stadium was built from the current year

Step to create the box plot in Minitab:

On the opening of Minitab, you will get session handler and worksheet like Excel worksheet.Enter the data into the worksheet (in this case the age of the stadium).After entering the data go to a menu called Graph in menu panel.In the Graph menu select option Box Plots, you will get one window of Boxplots.Under the Boxplots window, and select the simple graph option.After doing this, you will get another which will contain all the variables you have entered in the worksheet.Select the age of the stadium variable as Graph variables.After everything entered correctly, press ok and you will get the Boxplot of your data.Right click on the graph you have just created and select the copy graph option.There are no outliers.

Step 2 of 4:

(b)

We are asked to draw a box plot by selecting the variable team salary.

Are there any outliers?

What are the quartiles? Write a brief summary of your analysis. How do the salaries of the New York Yankees compare with the other teams?

The distribution is positively skewed, with the New York Yankees a definite outlier from the box plot we can conclude.

A boxplot is a graphical summary of data that is based on the computation of the median and the quartiles, The interquartile range,

A sample Box plot to represent the median and the quartiles, The interquartile range,

Quartiles:

It is useful to divide the data into four parts, with each part containing 25% of the measurements.

The division points are referred to as the quartiles and we can define as

The first quartile is $65080000 and the third is $100750000.