Descriptive and inferential statistics answer different questions. Descriptive statistics summarise observations in a dataset; inferential statistics use sample evidence to reason about a wider population under specified assumptions.

What descriptive statistics tell you

Counts, percentages, means, medians, ranges and measures of variation describe observed data. Tables and charts can summarise categories, distributions and patterns without making claims beyond the data observed.

What inferential statistics add

When the objective concerns a wider population, inferential methods can quantify uncertainty and test specified propositions. Confidence intervals, hypothesis tests and statistical models are common examples.

Why sampling matters

A large sample is not automatically representative. Selection, non-response and coverage affect whether results can reasonably be generalised, and increasing record count does not necessarily remove bias.

Assumptions matter

Statistical calculations do not create valid inference automatically. Study design, measurement and method assumptions determine what conclusions are defensible.

Significance is not practical importance

A statistically detectable difference may be too small to matter operationally. Conversely, an important effect can be estimated imprecisely when information is limited.

Choose from the question

Ask whether the objective is to describe the observed dataset or reason about a wider population. Then examine the design and data structure before choosing a technique.

Strengthen statistical reasoning

Continue through DatalytIQs practical statistics learning for structured application.