A community college faculty is negotiating a new contract with the school board. The distribution of faculty salaries is skewed right by several faculty members who make over $100,000 per year. If the faculty want to give the community the impression that they deserve higher salaries, should they advertise the mean or median of their current salaries?Choose the correct answer below:A. The faculty should use the mean to make their argument. The mean will be higher than the median since the mean is influenced by the few extremely high salaries.B. The faculty should use the median to make their argument. The median will be higher than the mean since the median is influenced by the few high salaries.C. The faculty should use the mean to make their argument. The mean will be lower than the median since it wil be influenced by the few high salaries. D. The faculty should use the median to make their argument. The median will be lower than the mean since the mean is intue ced by the few extre mely high salaries.

Question

11-02-2020
Mathematics

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A community college faculty is negotiating a new contract with the school board. The distribution of faculty salaries is skewed right by several faculty members who make over $100,000 per year. If the faculty want to give the community the impression that they deserve higher salaries, should they advertise the mean or median of their current salaries?Choose the correct answer below:A. The faculty should use the mean to make their argument. The mean will be higher than the median since the mean is influenced by the few extremely high salaries.B. The faculty should use the median to make their argument. The median will be higher than the mean since the median is influenced by the few high salaries.C. The faculty should use the mean to make their argument. The mean will be lower than the median since it wil be influenced by the few high salaries. D. The faculty should use the median to make their argument. The median will be lower than the mean since the mean is intue ced by the few extre mely high salaries.

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SheikhHassan SheikhHassan · Answer 1 · 2020-02-13T18:20:26+01:00

Answer:

D. The faculty should use the median to make their argument. The median will be lower than the mean since the mean is influenced by the few extremely high salaries.

Step-by-step explanation:

Mean is the average of any data set whereas the median is the middle value we get after arranging the data in ascending order.

So for example, if the salaries of any 5 faculty members are as follows:

$10,000 , $50,000 , $80,000 , $150,000 , $160,000

The MEAN would be: ∑x/N

where N is the total number of faculty and ∑x is the sum of all the salaries of the five faculty members

Mean= (10,000+50,000+80,000+150,000+160,000) / 5

Mean= 450,000 / 5

Mean= $90,000

The MEDIAN will be the value at (N+1)/2 place

where N is the total number of faculty

Median= (5+1) / 2

Median= 6/2

Median= 3rd value

As the data is already arranged in ascending order, Median is $80,000

Hence, if the faculty want to give the community the impression that they deserve higher salaries, they should advertise the median of their current salaries because as it is seen in the example above the median will be lower than the mean since the mean is influenced by the few extremely high salaries.