Question

Sample annual salaries​ (in thousands of​ dollars) for employees at a company are listed. 55  42  46  58  29  29  55  42  46  26  58  55  50 ​ (b) Each employee in the sample is given a 6​% raise. Find the sample mean and sample standard deviation for the revised data set. ​(c) To calculate the monthly​ salary, divide each original salary by 12. Find the sample mean and sample standard deviation for the revised data set. ​(d) What can you conclude from the results of​ (a), (b), and​ (c)?

Answer 1

a)

sample mean =45.462

sample standard deviation =11.3770

b)

sample mean =48.189

sample standard deviation =12.0596

c)

sample mean =3.788

sample standard deviation =0.9481

d)

the sample mean and standard deviation are mutiplied by the same factor with each value multiplied