Step-by-step explanation:
Given:
Mean = 33700
Median = 34600
Mode = 35600
The mean is the average, the median is the middle number, and the mode is the most common number.
a)
First, we need to find the new mean (average) if one of the employees gets a 3500 raise. The average is the total salary divided by number of employees:
(5 × 33700 + 3500) / 5 = 34400
b)
The mode is the most common number in a set. Since there are only five employees, and the mode is different than the median, then the two highest earners must have the same salary. The salaries from smallest to largest is therefore:
?, ?, 34600, 35600, 35600
When the median gets the 3500 raise, the set becomes:
?, ?, 35600, 35600, 38100
So the new median is 35600.
c)
The most common number is still 35600. So the mode hasn't changed: 35600.
