Question

Why are samples used in statistics?

   Why are samples used in statistics?

Elementary Statistics a Step by Step Approach

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Chapter 14, Problem 2

Instant Answer

Solved by Expert Gus Steppen

07/26/2020

Step 1

A population is the entire group that you want to draw conclusions about while a sample is the specific group that you will collect data from. The size of the population is often too large to survey. Show more…

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Why are samples used in statistics?

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Key Concepts

Representative Sampling

A key concept in using samples effectively is ensuring that the sample is representative of the population. This means that the sample should reflect the diversity and key characteristics of the entire population, reducing bias and increasing the validity of the inferences made. Techniques such as random sampling are employed to achieve this representativeness.

Feasibility and Efficiency

Using samples is also driven by practical considerations such as cost, time, and available resources. Collecting data from an entire population can be prohibitively expensive and time-consuming; therefore, a well-chosen sample enables researchers to gather useful data more quickly and efficiently while still achieving reliable results.

Population vs. Sample

In statistics, the population is the entire set of items or individuals under study, while a sample is a subset of the population that is selected for analysis. Since gathering data from an entire population is often impractical due to cost, time, or logistical constraints, samples are used as a manageable representation that can help infer characteristics about the population as a whole.

Statistical Inference

Statistical inference involves drawing conclusions about a population based on information obtained from a sample. By analyzing sample data, statisticians can estimate population parameters, test hypotheses, and make predictions, with the understanding that there is inherent uncertainty which is quantified using various statistical methods.

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