Answer:
The mean (average) becomes $36,360.
The median becomes $37,700.
The mode remains the same at $37,700.
Step-by-step explanation:
If the mean (average) salary of the employees is $35,600, then the total of the salaries is $35,600 × 5 = $178,000. If an employee gets a $3,800 raise, the total becomes $181,800. Divided by five, the new mean (average) salary becomes $36,360.
If the median salary is $36,800 and the mode is $37,700, that means the two salaries greater than the median must both be $37,700. If the median salary becomes $40,600 after the raise, it will become the highest salary. The two salaries of $37,700 will become the third and fourth highest. That means the new median salary (the third one) becomes $37,700.
Because there are still two salaries of $37,700, the mode remains the same.
$36360 is the new mean after the raise. The median salary becomes $40,600 after the raise. The two salaries of $37,700 will become the third and fourth highest hence, the new median salary becomes $37,700.The mode still remains the same because the two salaries are still $37700.
Given :
The sum of the salary of each employee will be:
[tex]\rm \dfrac{Sum \;of \;the\;Salary}{5} = 35600[/tex]
SUm of the Salary = $178000
If one of those five employees gets raise of $3800 then the salary sum becomes:
= $178000 + $3800
= $181800
Now, divide by 5 the above value:
[tex]=\dfrac{181800}{5}[/tex]
= $36360
So, $36360 is the new mean.
Given that the median is $36800 after the raise of $3800 the new median becomes:
= $36800 + $3800
= $40600
If the median salary becomes $40,600 after the raise, it will become the highest salary. Now, the two salaries of $37,700 will become the third and fourth highest. Therefore, the new median salary becomes $37,700.
The mode still remains the same because the two salaries are still $37700.
For more information, refer to the link given below:
https://brainly.com/question/21396105
