Respuesta :
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
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
Standard deviation shows the spread of data. The only correct option is the game scores of season 2005 have a greater spread than the game scores of season 2006.
What is the standard deviation?
A standard deviation is a difference in data points from the mean.
Given to us
2005 Mean-19 Standard deviation-3.5
2006 Mean-21 Standard deviation-2.8
2007 Mean-12 Standard deviation-1.0
2008 Mean-9 Standard deviation-4.0
We know that the standard deviation is the difference in the data points from the mean. therefore, if the data has a high standard deviation then the data points are more spread.
Now, arranging the data on the basis of its standard deviation,
2007 < 2006 < 2005 < 2008
Thus, Checking all the options, the only correct option is the game scores of season 2005 have a greater spread than the game scores of season 2006.
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