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.

Question

Answered

Verified Answer :

jajumonac jajumonac · Answer 1 · 2020-01-30T21:11:37-05:00

Answer:

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

$x=\frac{40000+50000+100000}{3}=\frac{190000}{3}\approx 63,333.33$

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

$x=\frac{40000+50000+130000}{3}\approx 73,333.33$

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

Therefore, the right answer is B.

leahyandrews leahyandrews · Answer 2 · 2022-05-18T13:38:51-04:00

Answer:

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

Step-by-step explanation:

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