document.write( "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 \n" ); document.write( "

Algebra.Com's Answer #713499 by KMST(5328) $\"\"$ $\"About$

You can put this solution on YOUR website!
The mean (average) of 5 numbers is their sum divided by 5,
\n" ); document.write( "so the sum of the salaries of all 5 employees is
\n" ); document.write( " $\"5%2A%28%22%2433600%22%29=%22%24168000%22\"$ .
\n" ); document.write( "If one of those 5 employees gets a $\"%22%243700%22\"$ raise,
\n" ); document.write( "the new sum of all salaries will be
\n" ); document.write( " $\"%22%24168000%22%2B%22%243700%22=%22%24171700%22\"$ ,
\n" ); document.write( "and the new mean will be $\"%22%24171700%22%2F5=highlight%28%22%2434300%22%29\"$ .
\n" ); document.write( "
\n" ); document.write( "The median of a set of numbers is the number that is in the middle of the list
\n" ); document.write( "when they are listed from smallest to greatest.
\n" ); document.write( "So, of the 5 employees, one has a salary of $34700,
\n" ); document.write( "2 have greater salaries (such as $35900),
\n" ); document.write( "and 2 have lesser salaries.
\n" ); document.write( "The mode of a set of numbers is the most frequent value.
\n" ); document.write( "So, there are 2 employes with salaries of $35900,
\n" ); document.write( "one with a median salary of $34700,
\n" ); document.write( "and 2 employes with different salaries that are less than $34700.
\n" ); document.write( "
\n" ); document.write( "Let us list those employees in order of increasing salaries:
\n" ); document.write( "Billy the busboy has the lowest salary of them all.
\n" ); document.write( "Joe, the janitor earns a greater salary than Billy.
\n" ); document.write( "Mark, with a median salary of $34700, ears more money than Billy and Joe.
\n" ); document.write( "The salaries of Adam and Andy, the accountants, are the same, at $35900.
\n" ); document.write( "
\n" ); document.write( "If Oscar, the owner, decides to retire, he will promote Mark to manager,
\n" ); document.write( "giving him a $\"%22%243700%22\"$ raise.
\n" ); document.write( "That will make Mark's new salary $\"%22%2434700%22%2B%22%243700%22=%22%2438400%22\"$ .
\n" ); document.write( "After that, the list of employees in order of increasing salaries will be as follows.
\n" ); document.write( "Billy the busboy, with no raise, still has the lowest salary of them all.
\n" ); document.write( "Joe, the janitor with no raise, still earns a greater salary than Billy.
\n" ); document.write( "Adam and Andy, with salaries of $35900 each, still earn more than Billy and Joe.
\n" ); document.write( "Mark, the manager, with his new salary of $38400 has the greatest salary of them all.
\n" ); document.write( "The new median is the salary value in the middle of that list,
\n" ); document.write( " $\"highlight%28%22%2435900%22%29\"$ .
\n" ); document.write( "
\n" ); document.write( "The new mode is the most frequent salary value, $\"highlight%28%22%2435900%22%29\"$ . \n" ); document.write( "

\n" );