Question

Sample annual salaries (in thousands of dollars) for employees at a company are listed 49 34 58 60 37 37 49 34 58 27 60 49 42 (a) Find the sample mean and sample standard deviation (b) Each employee in the sample is given a $5000 raise. Find the sample mean and sample standard deviation for the revised data set. (c) Each employee in the sample takes a pay cut of $5000 from their original salary. Find the sample mean and the sample standard deviation for the revised data set. (d) What can you conclude from the results of (a), (b), and (c)?

Answer 1

a)

131 1341 4 9 03 061 2 9 363 48831 433 4. 334 12345678901 11×n

sample mean =45.692 (thousands)

sample standad deviation =11.302 (thousand)

b)

131 1341 4 9 061 03 2 9 363 48831 433 20 36 36 12345678901

sample mean =50.692 (thousands)

sample standad deviation =11.302 (thousand)

c)

131 1341 4 9 03 061 2 9 363 433 48831 5533 12345678901 11×n

sample mean =40.692 (thousands)

sample standad deviation =11.302 (thousand)

d)

we conclude that standard deviation does not get afftected if a constant amount is added or subtracted from each value ; while average value increase or decrease by same amount.