Question
Why is sampling an essential method in data analysis,
especially when dealing with large datasets?Solution
Sampling is a crucial method used in data analysis because it allows analysts to infer characteristics of a larger population without the need for examining every individual data point, which would be time-consuming and expensive. By selecting a representative subset of the population, it is possible to obtain insights with a reduced cost and effort while maintaining the accuracy of the analysis. Sampling also enables quicker data processing and makes it feasible to handle large datasets that would otherwise be computationally expensive or impractical to analyze entirely. Proper sampling methods, such as simple random sampling or stratified sampling, ensure that the sample is representative, reducing the risk of bias. Why Other Options Are Incorrect: • A: While sampling may reduce errors, it does not guarantee an error-free data collection process. • B: Sampling does not eliminate redundancy but rather focuses on selecting a representative subset. • C: Sampling helps in approximating the population characteristics, but it may introduce some error, so it does not guarantee more accurate results. • E: Sampling still often requires complex statistical models to ensure that the sample is representative and that the analysis is valid.
If 6 $ 4 $ 7 = 101 and 2 $ 5 $ 11 = 150, then what is the value of T in T $ 8 $ 9 = 289?
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