The mean game scores and standard deviations of four seasons of a football team are given. Season Mean Standard Deviation 2005 19 3 point 5 2006 21 2 point 8 2007 12 1 point 0 2008 9 4 point 0 Which statement must be true?

Standard deviation measures how spread out the scores are around their mean. Season 2005 has a standard deviation of 3.5, which is greater than season 2006’s 2.8, so the 2005 scores have the greater spread. The other statements compare seasons whose standard deviations do not support them.

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