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Investments per employee for a utiliy-plant are asfollows Year Amount No.of empl

ID: 2914429 • Letter: I

Question

Investments per employee for a utiliy-plant are asfollows Year         Amount            No.of employees 1996       $453,000                  3,876 1997       $492,400                  3,874 1998       $498,900                  4,115 1999      $531,900                  4.252 2000      $553,900                  4,364 2001      $573,300                  4,428 Using the annual number of employees as weights, what is theweight mean for annual utility-plant investment per emplyee duringthis six year period? Investments per employee for a utiliy-plant are asfollows Year         Amount            No.of employees 1996       $453,000                  3,876 1997       $492,400                  3,874 1998       $498,900                  4,115 1999      $531,900                  4.252 2000      $553,900                  4,364 2001      $573,300                  4,428 Using the annual number of employees as weights, what is theweight mean for annual utility-plant investment per emplyee duringthis six year period?

Explanation / Answer

The formula for weighted average is wixi / wi xi wi Sum(wi xi) 1996       453,000       3,876       1,755,828,000 1997       492,400       3,874       1,907,557,600 1998       498,900       4,115       2,052,973,500 1999       531,900       4,252       2,261,638,800 2000       553,900       4,364       2,417,219,600 2001       573,300       4,428       2,538,572,400     24,909     12,933,789,900 So from this table, the weighted average is 12933789900/24909= 519,241.6 xi wi Sum(wi xi) 1996       453,000       3,876       1,755,828,000 1997       492,400       3,874       1,907,557,600 1998       498,900       4,115       2,052,973,500 1999       531,900       4,252       2,261,638,800 2000       553,900       4,364       2,417,219,600 2001       573,300       4,428       2,538,572,400     24,909     12,933,789,900
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