Question

The mean game scores and standard deviations of four seasons of a football team are given below. Season Mean Standard Deviation 2005 19 3.5 2006 21 2.8 2007 12 1.0 2008 9 4.0 Which statement must be true?
The game scores of season 2006 have a greater spread than the game scores of season 2008.
The game scores of season 2007 have a greater spread than the game scores of season 2005.
The game scores of season 2006 have a greater spread than the game scores of season 2005.
The game scores of season 2005 have a greater spread than the game scores of season 2006.

Answer 1

Higher standard deviation shows a greater spread of the data. 

2005 - sd=3.5
2006 - sd=2.8
2007 - sd=1.0
2008 - sd=4.0

The correct statement is the last statement which says the game scores of season 2005 have a greater spread than the game scores of season 2006

Answer 2

Answer:the Answer is D

Step-by-step explanation: