Q.Distinguish between the census method and the sample method of data collection, and state one situation in which each would be the appropriate choice.
Census Method (complete enumeration): every single unit of the population is individually observed or measured; no unit is omitted. It is costly and time-consuming, but leaves no sampling error, and is legally mandated for national counts such as India's Population Census.
Sample Method: only a carefully selected part of the population is studied, and the results are generalised to the whole population using statistical inference. It is faster and cheaper, and is the only practical choice when the population is very large or when testing would destroy the units tested (e.g., checking the bursting strength of pressure cookers).
When each is appropriate: a census suits a small, easily accessible population, or where the law requires every unit to be covered (e.g., a national population count). A sample suits a large or widely spread population, or where a quick, low-cost estimate with a known margin of error is acceptable (e.g., a company's customer-satisfaction survey).
Census studies every unit of the population (e.g., the Population Census of India); the sample method studies only a representative part and generalises the results (e.g., a company surveying 500 of its 20,000 customers). Census suits small/legally-mandated full counts; sampling suits large populations or destructive testing where speed and cost matter.
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