the weekly salaries (in dollars) for 7 employees of a small business are given below.
489,755,821,835,870,1022
auppose that the $489 salary changes to $734. answer the following
a. what happens to the median?
it decrease by $
in increases by $
it stays the same.
b. what happens to the mean?
it decreases by $
it increases by $
it stays the same.
a. The median is the middle value when the salaries are arranged in order. Currently, the middle value is 821. When the $489 salary changes to $734, the new list becomes:
734, 755, 821, 835, 870, 1022
The median is now 821, which remains the same. Therefore, the answer is "it stays the same."
b. The mean is the average of all the salaries. Currently, the mean is calculated as (489 + 755 + 821 + 835 + 870 + 1022) / 6 = 797. If the $489 salary changes to $734, the new calculation for the mean becomes (734 + 755 + 821 + 835 + 870 + 1022) / 6 = 822. Therefore, the mean increases by $25. The answer is "it increases by $25."