Answer:
The new data set, which involves the mean, median, mode increases or rise up to $2500.
Explanation:
Solution
Given that:
Assume that M, L, N be the mean, median, mode of the old data set
Now
The number of employees is give as = (25000/2500)
= 10.
Suppose the salaries of 10 employees be Si,
where i = 1,2,3,4,5,6,7,8,9,10.
Then
M =∑^10 i =1 Si /10
Where
L is the number in the middle when the data is ordered from least to greatest
L = Sj,
Where j ∈ (1,2,3,4,5,6,7,8,9,10).
N = Sk j ∈ (1,2,3,4,5,6,7,8,9,10).
Thus
The salaries of 10 employees with bonus is Sj+2500, where j = 1,2,3,4,5,6,7,8,9,10
Now for the new data set we have the following stated below:
Mean = ∑^10 i =1 (Si + 2500)/10
= ∑^10 i= 1 Si/10 + 2500
= M +2500
Median = Sj+2500 = L+2500.
Mode = Sk+2500 = N+2500.
Hence the new data set, which involves the mean, median, mode increases or rise up to $2500.
