liveBook · Manning

Statistical sample

As explained in Starting Data Analytics with Generative AI and Python

A sample is a subset of observations collected or selected to represent a larger population or data-generating process.

A statistical sample is a subset of observations collected or selected to learn about a larger population. Because it may not represent the population perfectly, conclusions based on it include uncertainty. section 3.4 section 3.4.1

Estimating customer spending

Surveying every customer may be impractical, so randomly selecting 100 customers creates a sample. If their average monthly spending is $200, a 95% confidence interval might range from $180 to $220, expressing uncertainty about the population average. section 3.4.1

Interpret a sample by checking:

  • Whether the sample represents the population well enough for the intended decision. section 3.4.1
  • How sample size, confidence level, and inherent data variability affect confidence-interval width. section 4.8
  • Whether the dataset is a sample or complete population data: estimate the former, but calculate the latter’s average. section 4.8
Figure 4.6 Confidence intervals for (a) average sales price and (b) average review scores, for transactions in the “health and beauty” category of products
figure

Compare interval widths for average sales prices and review scores while judging what the samples support. section 4.8

How Starting Data Analytics with Generative AI and Python covers it

How deep it goes
Defines sampling, explains representativeness and confidence intervals, and distinguishes samples from complete populations.
Examples
Uses 100 randomly selected customers, their $200 spending average, and sales-price and review-score intervals.
What it assumes
Assumes basic averages and introduces population inference, sampling uncertainty, and confidence-interval reasoning.
What you can do after
Evaluate whether sample-based averages support population claims and communicate their uncertainty.
How it connects
Connects to populations, inferential statistics, probability theory, confidence intervals, and hypothesis testing.

Also explained in

Compare how 7 books explain statistical sample →

Related concepts

This explainer was generated by Manning's knowledge graph from the text of Starting Data Analytics with Generative AI and Python. The section links point to the parts of the book it draws on.