Module 1: Introduction to Experimental Techniques
  Lecture 6: Uncertainty analysis
 

Example: Given 4 values obtained by repeating an experiment as 65.3, 68.2, 67.7, 66.4, find the range in which the fifth value will lie. Here , , ; for and confidence interval We get

The new value will lie between 71.05 and 62.75 and the new mean will be between 68.97 and 64.825.

It is also worth noting that the probability of obtaining a particular value is zero; finite probability can be assigned only if a range of values of the measured variable is prescribed.