Question

Briefly comment on the following:

a) "The choice of a Sampling Method depends on the trade-off between cost, speed, and precision."

b) "Diagrammatic and Graphic presentation of data reduces the complexity of raw observations."

c) "The Chi-Square Test is a powerful tool for testing the independence of attributes and goodness of fit."

d) "Index Numbers are often referred to as 'Economic Barometers' because they measure changes in variables over time."

12 Feb 2026
Answer :
Word Count : 467
The statement that "the choice of a Sampling Method depends on the trade-off between cost, speed, and precision" highlights a fundamental principle in research methodology. Sampling is used to draw inferences about a population without examining every element, and the method selected significantly affects the quality and efficiency of research. Probability sampling methods, such as simple random sampling, stratified sampling, and systematic sampling, offer higher precision and allow for statistical inference but may be more expensive and time-consuming. Non-probability methods, such as convenience sampling or judgmental sampling, are faster and less costly but can compromise representativeness and introduce bias. Researchers must therefore balance the resources available, the time constraints, and the desired accuracy of results when selecting a sampling strategy, acknowledging that higher precision often requires greater cost and effort. The assertion that "diagrammatic and graphic presentation of data reduces the complexity of raw observations" emphasizes the importance of data visualization in statistical analysis. Raw data, especially in large datasets, can be overwhelming and difficult to interpret. Presenting data in forms such as bar charts, pie charts, histograms, line graphs, and scatter
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