Asked Sep 19, 2019

choose four numbers from the whole numbers 0 to 9, with repeats allowed that 

(a) have the smallest possible standard deviation 

(b) have the largest possible standard deviation  


Expert Answer

Step 1

From the question , it is given that one must choose four number from the sample space of whole numbers 0 ton 9. Repetition is allowed while drawing four numbers.

Step 2


The four numbers that have small possible standard deviation is as given below:

Here, spread among the data points can be...


Image Transcriptionclose

set1 set2 set2 set3 set5 set7 set8 set10 set6 set4 0 1 2 3 4 5 6 7 9 0 1 2 3 4 5 6 7 0 1 2 3 4 5 6 7 0 1 2 3 4 5 6 7 9 Std = 10 0 0 0 0


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