Select all of the true statements about the standard deviationof a quantitative variable.
1.The standard deviation of a group of values is a measure ofhow far the values are from the mean.
2.Changing the units of a set of values (e.g., converting frominches to feet) does not affect its standard deviation.
3.Standard deviation is resistive to unusual values.
4.The standard deviation of a set of values is equal to 00 ifand only if all of the values are the same.
5.Standard deviation is never negative.
6.If a set of values has a mean of 00 and a standard deviationthat is not 0,0, then adding a new data point with a value of00will have no effect on the standard deviation.
