Consider a League with 20 teams. Over the past thirty years, one team has won eleven championships and the remaining nineteen teams have each won one championship. A) Calculate the HHI for championships in this league. Be sure to show or explain your work. In what context is an HHI usually used? B) Calculate the Gini index for championships in this league. Be sure to show or explain your work. In what context is a Gini index usually used? C) Explain how a ratio of standard deviation is used to compare competitive balance across leagues that play different numbers of games D) Explain the difference between within- season and between-season measures of competitive balance. Which type of measure would you use to study competitive balance in World Cup champions?

Consider a League with 20 teams. Over the past thirty years, one team has won eleven championships and the remaining nineteen teams have each won one championship. A) Calculate the HHI for championships in this league. Be sure to show or explain your work. In what context is an HHI usually used? B) Calculate the Gini index for championships in this league. Be sure to show or explain your work. In what context is a Gini index usually used? C) Explain how a ratio of standard deviation is used to compare competitive balance across leagues that play different numbers of games D) Explain the difference between within- season and between-season measures of competitive balance. Which type of measure would you use to study competitive balance in World Cup champions?