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More importance can be attached to observations which are either of greater importance, accuracy (lesser variance).
All it means that there were more than one observations which had the same value.
The decimal point is used to show that the number is not whole. Numbers after the decimal point show fractions of the number so there is more accuracy.
No, to both questions.
You are required to carry out large number of observations in experiments because during experiments errors are very common. So to minimize the error, you take a mean (average) of large number of observations so that you can get a more precise value.