Fill in the blanksThe standard deviation of a data is ___________ of a

1.	Fill in the blanksThe standard deviation of a data is ___________ of any change in origin, but is _____ on the change of scale.
Answer» Independent, dependent. Explanation: Change of origin means some value has been added or subtracted in the observation. And we know the standard deviation doesn’t change if any value is added or subtracted from the observations, so standard deviation is independent of change in origin. But standard deviation is only affected by a change in scale, i.e., some value is multiplied or divided to observations. Hence the standard deviation of any data is independent of any change in origin but is dependent of any change of scale.

Fill in the blanksThe standard deviation of a data is _______ of any change in origin, but is _ on the change of scale.

Answer»

Independent, dependent.

Explanation:

Change of origin means some value has been added or subtracted in the observation.

And we know the standard deviation doesn’t change if any value is added or subtracted from the observations, so standard deviation is independent of change in origin.

But standard deviation is only affected by a change in scale, i.e., some value is multiplied or divided to observations.

Hence the standard deviation of any data is independent of any change in origin but is dependent of any change of scale.

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