The value of standard deviation of a set of values will be:
(a) zero if all observations are equal
(b) always positive
(c) positive although the values are negative
(d) all the above
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positive although the values are negative
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d) All of the above
If all observations are equal, the result is zero; otherwise, the result is always positive. (c) positive despite the fact that the numbers are negative (d) everything else This indicates that all data values are equal to the mean. This finding, together with the last one, allows us to say that a data set's sample standard deviation is zero if and only if all of its values are the same.
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