Question

5) The mean salary of 5 employees is $40300. The median is $38500. The lowest paid employee's salary is $32000. If the lowest paid employee gets a $3100 raise, then ...

a) What is the new mean?
New Mean = $


b) What is the new median?
New Median = $

Answer 1

Answer:

New mean = $40920

New Median = $38500 (Same as old)

Step-by-step explanation:

Given

Mean = $40300

Median = $38500

The formula for mean is:

Mean = Sum/No. of Values

According to the formula,

40300 = Sum/5

40300*5 = Sum

Sum of Salaries = 201500

If the salary of lowest employee is raised 3100, then sum will be 204600.

The new mean will be:

Mean = 204600/5

Mean =$40920

The median will remain unchanged as it is the middle value of 5 quantities. 2 values are greater than median and two are less than median. Even after the raise in salary, the salary becomes $35100 which is still less than median. So the median will be same as old ..