Critical thinking means deliberately checking claims, evidence, assumptions, incentives, and reasoning before accepting a conclusion. Statistics supplies practical tools for that check. section 1.4 section 1.8
Use critical thinking to move from an impressive claim to a more trustworthy judgment:
- Ask how the data were gathered and whether the sample represents the question. section 1.4
- Inspect process assumptions, ignored variables, removed outliers, and possible logical fallacies. section 1.4
- Look for incentives, funding, organizational bias, and metrics that may have become targets. section 1.4 section 10.1
- Separate statistical significance from a convincing explanation, then test whether another factor could account for the result. section 1.4
A pricing claim
A director reports that a new pricing system increased revenue by $70 million. Critical thinking does not reject the number automatically; it asks whether a competitor’s retreat brought in new customers, whether the analysis ignored other variables, and whether the reported significance actually supports the claimed cause. section 1.4
Everyday questions
The same habit applies to ordinary decisions: compare whether a later dinner changes a toddler’s bedtime or whether avoiding a toll road changes commute time, while noticing personal bias and possible confounding variables. section 10.1


