STATISTICAL TECHNIQUES AND TOOLS
MEASURES OF CENTER AND SPREAD
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Question
[CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
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If the standard deviation of a data set was 0, this would mean all the values were exactly the same.
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True
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False
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Either A or B
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None of the above
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Explanation:
Detailed explanation-1: -Answer and Explanation: Therefore, if the standard deviation of the data set is zero, then all the values in the data set must be equal to the mean of the data. Thus, the statement that “If the standard deviation from a data set is zero, then all the observations in this data set must be zero” is FALSE.
Detailed explanation-2: -A standard deviation close to zero indicates that data points are close to the mean, whereas a high or low standard deviation indicates data points are respectively above or below the mean.
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