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.

Respuesta :

Answer:

B: The mean will increase, the median will stay the same.

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

[tex]x=\frac{40000+50000+100000}{3}=\frac{190000}{3}\approx 63,333.33[/tex]

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

[tex]x=\frac{40000+50000+130000}{3}\approx 73,333.33[/tex]

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

Therefore, the right answer is B.

Answer:

For those on khan academy trying to find the alternative question and answer to this one

Step-by-step explanation:

Khan academy

Ver imagen leahyandrews
Ver imagen leahyandrews