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What is the percentage error in weighing 0.05g to four decimal places?
It is in the range (-0.1%, 0.1%).
Why relative error is better then absoulte error in math?
The relative error puts the size of the error into context. An absolute error of 10, in a number whose value is 1 indicates a range of -9 to 11 for the true value. This means that telling you that the value is 1 is near enough pointless. On the other hand, an absolute error of 10 in a number whose value is 1 billion means that the true value is somewhere in the range 999,999,990 and 1,000,000,010. I suggest that the discrepancy is not significant. The relative error in the first case is 1000% and in the second, it is 1 millionth of 1%.
Why is it good to have a high sample size?
It increases the accuracy of the estimation and reduces the associated error range.
What is the significance of standard error of estimates?
Standard error is an indicator of the expected level of variation from the predicted outcome in an estimate. So even though the mean is mostly likely the outcome, the actual range the outcome could call into is a region which is measured by the standard error.
What is the difference between operating range and display range?
Display range for a calculator may be 10 digits. That is all the screen will display. The operating range may be 12 digits, 2 extra digits are kept in memory so that the next calculation will have less rounding error.
