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Question 1099032: The mean salary of 5 employees is $33600. The median is $34700. The mode is $35900. If the median paid employee gets a $3700 raise then wahat is the new mean, median,and mode
Found 2 solutions by KMST, MathTherapy: Answer by KMST(5328) (Show Source):
You can put this solution on YOUR website! The mean (average) of 5 numbers is their sum divided by 5,
so the sum of the salaries of all 5 employees is
.
If one of those 5 employees gets a raise,
the new sum of all salaries will be
,
and the new mean will be .
The median of a set of numbers is the number that is in the middle of the list
when they are listed from smallest to greatest.
So, of the 5 employees, one has a salary of $34700,
2 have greater salaries (such as $35900),
and 2 have lesser salaries.
The mode of a set of numbers is the most frequent value.
So, there are 2 employes with salaries of $35900,
one with a median salary of $34700,
and 2 employes with different salaries that are less than $34700.
Let us list those employees in order of increasing salaries:
Billy the busboy has the lowest salary of them all.
Joe, the janitor earns a greater salary than Billy.
Mark, with a median salary of $34700, ears more money than Billy and Joe.
The salaries of Adam and Andy, the accountants, are the same, at $35900.
If Oscar, the owner, decides to retire, he will promote Mark to manager,
giving him a raise.
That will make Mark's new salary .
After that, the list of employees in order of increasing salaries will be as follows.
Billy the busboy, with no raise, still has the lowest salary of them all.
Joe, the janitor with no raise, still earns a greater salary than Billy.
Adam and Andy, with salaries of $35900 each, still earn more than Billy and Joe.
Mark, the manager, with his new salary of $38400 has the greatest salary of them all.
The new median is the salary value in the middle of that list,
.
The new mode is the most frequent salary value, .
Answer by MathTherapy(10552) (Show Source):
You can put this solution on YOUR website!
The mean salary of 5 employees is $33600. The median is $34700. The mode is $35900. If the median paid employee gets a $3700 raise then wahat is the new mean, median,and mode
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