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Worked Examples · Example 1

Q.A researcher wants to study the average monthly household expenditure of families living in a single mid-sized town. Should the researcher use the Census Method or the Sample Method? Justify your answer.

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Step 1 — Identify the population and the objective. The population is all households in a single mid-sized town, and the objective is to estimate an average (mean expenditure) — not to record every household's individual expenditure for administrative use (which is the kind of purpose that genuinely requires a census, e.g. the national Census of India).

Step 2 — Weigh census versus sample for this objective. A census would require visiting every household in the town — accurate, but very costly and time-consuming for what is only an average figure. A sample, if properly and representatively drawn, can estimate this average to a known degree of accuracy at a small fraction of the cost and time.

Step 3 — Conclude. Since the objective is an aggregate estimate (an average) rather than individual household records needed for every unit, and since cost/time matter, the Sample Method is the appropriate and standard practice.

Check. This mirrors real practice: national household expenditure surveys (such as those conducted by the National Sample Survey Office) are themselves sample surveys, never a full census, precisely for this reason.

✓Final answer

The Sample Method should be used — a representative sample of the town's households, properly selected, gives a reliable estimate of average monthly expenditure without the cost and time burden of a full census.

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