show the standard deviation depends on the scale but not on the origin
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show the standard deviation depends on the scale but not on the origin
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Answer:
It was designed that way. If you subtract the mean from all the observations, then any way to combine the modified observations will not depend on the mean. The mean of the modified observations is zero.
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Step-by-step explanation:
The standard deviation depends on the scale of the data but not on its origin. This means that multiplying each data point by a constant (changing the scale) will result in a proportional change in the standard deviation, while adding or subtracting a constant from each data point (changing the origin) will not affect the standard deviation.
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