** I only included part a and b as reference. Can you explain why it is...

** I only included part a and b as reference. Can you explain why it is the same if you subrtact 20, but when you multiple 20 the answers are different. THNAKS! **

Consider the following data set:

21 28 38 12 33 47 51 11 81 36

a. Find the sample variance and the sample standard deviation.

b. If 20 is subtracted from each observation in part (a), a new data set is formed:

1 8 18 -8 13 27 31 -9 61 16

Find the sample variance and the sample standard deviation for this new data set. How are these values related to the sample variance and the sample standard deviation found in part (a)?

c. If each observation in part (a) is multiplied by 20, the following data set is formed:

420 560 760 240 660 940 1020 220 1620 720

Find the sample variance and the sample standard deviation for this new data set. How are these values related to the sample variance and the sample standard deviation found in part (a)?

Expert Solution

orchestra answered 2 years ago

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