Answer:
a) The Median stays the same
b) The Mean decreases by $27
Explanation:
We were given the following weekly salaries:
[tex]554,626,649,702,718,855,896,1184[/tex]The mean & median for the data above is shown below:
[tex]\begin{gathered} Mean=\frac{\text{Sum of elements}}{Number\text{ of elements}} \\ Mean=\frac{554+626+649+702+718+855+896+1184}{8} \\ Mean=\frac{6184}{8} \\ Mean=773 \\ \\ Median=\frac{702+718}{2} \\ Median=\frac{1420}{2} \\ Median=710\text{ (the middle number in the array)} \end{gathered}[/tex]Suppose that the $1184 salary changes to $968, we have:
[tex]\begin{gathered} Mean=\frac{\text{Sum of elements}}{Number\text{ of elements}} \\ Mean=\frac{554+626+649+702+718+855+896+968}{8} \\ Mean=\frac{5968}{8} \\ Mean=746 \\ \\ \text{The Median remains unchanged since the position of the salary changed is the same} \end{gathered}[/tex]Therefore,
a) The Median stays the same
b) The Mean decreases by $27
