Suzanne owns a small business that employs 5 other people. suzanne makes $100,000 per year, and the other 5 employees make between $40,000 and $50,000 per year.
suzanne decides to increase her salary by $30,000 per year and leave the rest of the salaries the same.
how will increasing her salary affect the mean and median?

a: both the mean and median will increase.
b: the mean will increase, the median will stay the same.
c: the median will increase, the mean will stay the same.
d: the mean will increase and the median will decrease.

Step-by-step explanation:

According to the problem, the initial data set is

$40,000   $50,000   $100,000.

At this point the median is $50,000, because the median is define as the central value of the data set.

The median is

After the Suzanne's salary increase, the data set is

$40,000   $50,000   $130,000.

The median after the increase is the same $50,000, because it represents the central value after the salary increase.

The median is

As you can observe, the median remains the same, but the mean increases.

Therefore, the right answer is B.

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step-by-step explanation: