Q:

The mean salary of 5 employees is $35600. The median is $36800. The mode is $37700. If the median paid employee gets a $3800 raise, then ...

Accepted Solution

A:
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 Γ— 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.