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The table below gives the size of the freshman class entering BSC for the past several years.

Class of

2005

2006

2007

2008

2009

2010

2011

2012

2013

2014

Size

1178

1297

1304

1305

1332

1361

1584

1502

1479

1460

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

a) Compute the expected value of the size of the freshman class. (Assume each size listed above is equally likely).

b) Compute the standard deviation of the size of the freshman class.

c) Based on your answers to part (a) and (b), would you say that the size of the freshman class at BSC was extremely variable or fairly constant over the last ten years? Explain your reasoning.

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