SOLUTION: 6) The mean salary of 5 employees is $42100. The employee salaries have 2 modes: $34000 and $50500. If the median salary gets a $2400 raise, then ... a) What is the new mean?

Question 1142276: 6) The mean salary of 5 employees is $42100. The employee salaries have 2 modes: $34000 and $50500. If the median salary gets a $2400 raise, then ...
a) What is the new mean?
New Mean = $

b) What is the new median?
New Median = $
Found 2 solutions by greenestamps, MOO04182020:
Answer by greenestamps(13209) (Show Source): You can put this solution on YOUR website!

(1) Given that the mean of 5 salaries is $42100, find the total of all 5 salaries. (mean = total divided by how many, so total = mean times how many)

(2) Two modes of $34000 and $50500 among 5 salaries means two salaries at each of those amounts and one salary at another amount. Since the median is between $34000 and $50500, the 5th salary will be between $34000 and $50500, so it is the median salary. Use the two given modes and the total of all the salaries from (1) to determine the amount of the median 5th salary.

(3) When one of five salaries is raised by $2400, the mean is raised by $2400/5.

(4) The new median is the old median plus the raise of $2400.
Answer by MOO04182020(3) (Show Source): You can put this solution on YOUR website!
1. The mean of 5 salaries is $42100, find the total of all 5 salaries. (mean = total divided by how many, so total = mean times how many)
2. the Two modes of $34000 and $50500 among 5 salaries means two salaries at each of those amounts and one salary at another amount. Since the median is between $34000 and $50500, the 5th salary will be between $34000 and $50500, so it is the median salary. Use the two given modes and the total of all the salaries from (1) to determine the amount of the median 5th salary.
3. 1 of 5 salaries is raised by $2400, the mean is raised by $2400/5.
4. New median is the old median plus the raise of $2400.
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