Select all of the true statements about the standard deviation of a quantitative variable.

Select all of the true statements about the standard deviation of a quantitative variable.

Select all of the true statements about the standard deviation of a quantitative variable.

1.The standard deviation of a group of values is a measure of how far the values are from the mean

2.The standard deviation of a set of values is equal to

0
if and only if all of the values are the same.

3.Changing the units of a set of values (e.g., converting from inches to feet) does not affect its standard deviation.

4.If a set of values has a mean of

0
and a standard deviation that is not

0,
then adding a new data point with a value of

0
will have no effect on the standard deviation.

5.Standard deviation is never negative.

6.Standard deviation is resistive to unusual values.