Question

Suppose you don't take a zero reading for the micrometer caliper, causing all measurements to be low by .003. How would this affect your average and standard deviation?

Answer 1

we know that the mean is the value, which is dependent on each value in data set and standard deviation is value, which is dependent upon the difference between the data values in the data set

If all the measurements are decreased by a unit of 0.003, then this will reduce the mean value by 0.003 units as compared to the previous or actual expected mean value.

If all the measurements are decreased by a unit of 0.003, then there will be no effect on the standard deviation value as compared to the previous or actual expected mean value because the standard deviation depends only on the difference between values.

Therefore, we can say that the mean will gets reduced by 0.003 units, but standard deviation will remain same.