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  • Fill in the blanks The standard deviation of a data is ___________ of any change in origin but is _____ on the change of scale.

Fill in the blanks

The standard deviation of a data is ___________ of any change in origin but is _____ on the change of scale.

Answers (1)

Independent, dependent

Change of origin means some value has been added or subtracted in the observation. And we know the S.D does not change if any value is added or subtracted from the observations, So SD is independent of change in origin.

However, Standard deviation is only affected by a change in scale, that is, when some value is multiplied or divided to observations. Hence, the SD of any data is independent of any change in origin but dependent on any change of scale.

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infoexpert21

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