Let's analyze the standard deviations provided in the question to determine which statement is true:
1. Season 2005: Standard Deviation = 3.5
2. Season 2006: Standard Deviation = 2.8
3. Season 2007: Standard Deviation = 1.0
4. Season 2008: Standard Deviation = 4.0
Review the statements one by one in terms of standard deviations:
1. The game scores of season 2006 have a greater spread than the game scores of season 2008.
- Comparing standard deviations: \( 2.8 \) (2006) vs \( 4.0 \) (2008)
- Since \( 2.8 < 4.0 \), this statement is false.
2. The game scores of season 2007 have a greater spread than the game scores of season 2005.
- Comparing standard deviations: \( 1.0 \) (2007) vs \( 3.5 \) (2005)
- Since \( 1.0 < 3.5 \), this statement is false.
3. The game scores of season 2006 have a greater spread than the game scores of season 2005.
- Comparing standard deviations: \( 2.8 \) (2006) vs \( 3.5 \) (2005)
- Since \( 2.8 < 3.5 \), this statement is false.
4. The game scores of season 2005 have a greater spread than the game scores of season 2006.
- Comparing standard deviations: \( 3.5 \) (2005) vs \( 2.8 \) (2006)
- Since \( 3.5 > 2.8 \), this statement is true.
Therefore, the only true statement is:
The game scores of season 2005 have a greater spread than the game scores of season 2006.
