Define/Illustrate
Statistical Question
Biased vs Unbiased
Probabilistic vs Deterministic Interpretation
Statistical Question:
A statistical question is a question that can be answered by collecting and analyzing data. It often involves studying a population or a sample and drawing conclusions or making predictions based on the data. Examples of statistical questions include "What is the average age of students in a school?" or "How many people prefer apples over oranges?"
Biased vs Unbiased:
In statistics, bias refers to a systematic error or deviation in the data or the sampling process that results in incorrect or misleading conclusions. A biased sample or study tends to produce results that do not accurately represent the population or the phenomenon being studied. On the other hand, an unbiased sample or study provides results that are free from systematic error and are more representative of the population.
Probabilistic vs Deterministic Interpretation:
In statistics, a probabilistic interpretation considers the likelihood or probability of an event or outcome occurring. It recognizes that there is inherent uncertainty attached to the data and the results. For example, when using a coin, there is a 50% chance of getting heads and a 50% chance of getting tails.
In contrast, a deterministic interpretation assumes that there is no randomness or uncertainty in the data or the results. It believes that every event or outcome can be precisely predicted with certainty. However, in practice, statistical analyses often rely on probabilistic interpretations due to the inherent variability and uncertainty in the real world.