How does changing the units of measurement affect the standard deviation and variance of a dataset?
- It decreases them
- It depends on the new units
- It doesn't affect them
- It increases them
Changing the units of measurement will change the scale of the data, and hence will affect the values of standard deviation and variance. If the data is scaled up, both measures will increase, and if the data is scaled down, they will decrease. However, the relative dispersion, as measured by the coefficient of variation, will remain the same.
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