Question 1195172: Suppose you calculated the mean, median, mode, and sample standard deviation of a data set. The results are shown below.
Mean: 34
Median: 50
Mode: 53
Sample Standard Deviation: 2
If each number in the data set was increased by 13 units, what would be the new values of these statistics?
Fill in your results below.
New Mean:
New Median:
New Mode:
New Sample Standard Deviation:
Answer by ikleyn(52767) (Show Source):
You can put this solution on YOUR website! .
Mean : increases by 13.
Median: increases by 13.
Mode: increases by 13.
Sample Standard Deviation: no change.
My statements are simply direct consequences of definitions of respective quantities.
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Comment from student : i thought this was the answer, thanks so much for your help.
i don't quite understand why the standard deviation wouldn't change, though.
nut i have more homework to unpack, now! thank you.
My response : To overcome your doubts, learn the relevant basics.
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