Question 1133173: Consider the following.
11, 26, 28, 2, 9, 14
Compute the population standard deviation of the numbers. (Round your answer to two decimal place.)
(a) Double each of your original numbers and compute the standard deviation of this new population. (Round your answer to two decimal place.)
(b) Use the results of part (a) and inductive reasoning to state what happens to the standard deviation of a population when each data item is multiplied by a positive constant k.
The standard deviation is multiplied by k.
The standard deviation is multiplied by -k.
The standard deviation is divided by k.
The standard deviation is unchanged.
The standard deviation is k.
Answer by Boreal(15235)   (Show Source):
You can put this solution on YOUR website! The mean is 15.
The sqrt of the squared deviations divided by 6 is first 16+121+169+169+36+1 which is sqrt(512/6)=9.24
doubling of the numbers has a mean of 30 and numbers 22,52,56,4,18,28
squared deviations add to 64+484+676+676+144+4 or 2048/6 and sqrt of that is sqrt(341.33) or 18.48. It doubles the standard deviation
The standard deviation is multiplied by k.
Double the numbers and quadruple the variance which means double the standard deviation.
|
|
|
