## A colleague is conducting research on adults’ job satisfaction as it relates to gender, salary, and level of control felt over the work envi

Question

A colleague is conducting research on adults’ job satisfaction as it relates to gender, salary, and level of control felt over the work environment. Your colleague has collected data from a random sample of adults. Salary is measured in thousands of dollars. The control over one’s work environment and job satisfaction scales are measured by averaging sets of items on a 0 to 7 point scale range, with low scores representing low control and low job satisfaction and higher scores representing a greater sense of control and job satisfaction. Here are the data. She is particularly interested in the relationship between job satisfaction and the person’s perceived level of control.

Gender Salary Control Job Satisfaction
M 42 4 5
F 50 2 2
F 60 5 5
F 40 3 1
M 50 3 2
M 40 7 3

What are the average and median levels of control found in her sample?

a) 3, 3.5 b) 4, 3.5 c) 3.5, 3 d) 47,46

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3 weeks 2021-10-03T11:18:19+00:00 1 Answer 0

Option B is correct.

The average and median levels of control found in her sample are 4 and 3.5 respectively.

Step-by-step explanation:

The average is given as

Average = (Σx)/N

The average is the sum of variables divided by the number of variables

x = each variable

N = number of variables = 6

Average = (4 + 2 + 5 + 3 + 3 + 7)/6

Average = (24/6) = 4.

The median is described as the number in the middle when the variables are arranged in ascending or descending order.

For variables whose number is odd, the median is just the variable in the middle of the ordered distribution.

For variables whose number is even, the median is just the average of the two variables in the middle of the ordered distribution.

Arranging the levels of control, we have

2, 3, 3, 4, 5, 7 (number of variables is even; 6)

The middle numbers are 3 and 4.

The average of these 2 = (3+4)/2 = 3.5