The type of sampling in which each selected member is returned to the population before the next selection is called:

The type of sampling in which each selected member is returned to the population before the next selection is called: (a) Sampling without replacement

(b) Sampling with replacement

(c) Simple random sampling

(d) Systematic sampling

✅ Correct option: (b) Sampling with replacement

Explanation:

Sampling with replacement is a sampling technique in which each selected member is returned to the population before the next draw. This means that the same individual may be selected more than once. Each selection is independent, and the probability of selection remains constant. This method is primarily used in theoretical statistics, simulations, and probability models rather than practical field research. Sampling without replacement is more common in real-world studies because it avoids duplicate participants. Sampling with replacement simplifies mathematical calculations and forms the basis of many probability theories. However, it may reduce sample diversity and is less efficient in applied research contexts. Hence, option (b) is correct.

10 Related PPSC Facts:

Selection is independent Same unit can be chosen again Probability remains constant Used in simulations Rare in field studies Basis of probability theory Sampling without replacement is more practical Simplifies calculations Used in bootstrapping methods May reduce sample diversity