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🎯 Why do we prefer Sampling over Complete Enumeration?

🎯Why do we prefer Sampling over Complete Enumeration?


Answer: Sampling is preferred because:

  1. Economical: It saves time, money, and manpower.

  2. Practical: Sometimes, it’s physically impossible to collect data from every individual (e.g., soil testing, manufacturing quality tests).

  3. Speed: Enables quicker decision-making.

  4. Accuracy in Practice: With trained investigators and good design, sampling often gives more reliable results than a poorly conducted census.


Example: In quality control, only a few bulbs are tested from each batch instead of testing all — otherwise, all bulbs would be destroyed.


Follow-up: In what situations is a census better than sampling?

  • When population size is small.

  • When very high accuracy is required (like national population census).

  • When units are heterogeneous and no proper sampling frame exists.

 
 
 

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\(E[X]=\mu\) \[\hat{\mu}=\frac{\sum_{i=1}^n x_i}{n}\]

 
 
 

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