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.