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Select all of the true stateents about the standard deviation of a quantitative

ID: 3068581 • Letter: S

Question

Select all of the true stateents about the standard deviation of a quantitative variable taset of values has a mean of 0 and a stadand deviation that is not Q, then rming das t with a vale of will have no effect on the standard deviation Chunging the units of a set of valucs (o.g.comverting fro Standard deviation is resistive to nsal valus Standard devisation inches to fet) does aot affoct represents how far a goup of values are froem the mican of those valcson aver The standard deviation of a set of valcs is oqual to 0 if and only d all of the values ae the se Standard deviation is never negative

Explanation / Answer

Ans:

The following statements are correct:

1)if a set of values has a mean of 0 and standard deviation that is not 0,then removing a data point with a value of 0 will have no effect on the standard deviation.

2)Standard deviation represents how far a group of values are from the mean of these values,on average.

3)The standard deviation of a set of values is equal to zero if and only if all of the values are the same.

4)Standard deviation in never negative.