Question
Relationships between means, standard deviations, x values, and z scores The International Average salary Income Database provides a comparison of average salaries for various professions. The data are gathered from publications and reports obtained directly from government agencies (such as the U.S. Bureau of Labor Statistics) or from the International Labour organization. Suppose you are told that a computer programmer in Canada who makes exist2, 063.30 has a z-score of +0.50 relative to other computer programmers in Canada and that the standard deviation of the salary of computer programmers in Canada is exist458.60. The average salary, then, for computer programmers in Canada is ____. Suppose you are also told that a computer programmer in Portugal who makes exist1, 387.40 has a z-score of t2.00 relative to other computer programmers in Portugal and that the mean of the salary of computer programmers in Portugal is exist925. The standard deviation of the salary, then, for computer programmers in Portugal is ___.
Explanation / Answer
a) We Know
Z score = (X score-Mean)/Standard deviation
0.50= (2063.30-Mean)/458.60
So, average Salary for Programmers in Canada is $1834
b) For Portugal
2 = (1387.40-925)/458.60
So, Standard deviation for Programmers in Portugal is $231.2