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Statistics for Data Science · Module 5 of 10

Sampling and confidence intervals

Estimate population values with uncertainty.

📖 Key ideas

  1. A point estimate is a single best guess (e.g., sample mean).
  2. Standard error = SD / √n; it shrinks as n grows.
  3. A 95% confidence interval gives a range likely to contain the true value.
  4. Bigger samples give narrower intervals.
  5. Report estimates with their uncertainty.
💡 Real-life example: A confidence interval is a fishing net: a wider net is more likely to catch the true fish.
Point estimateSingle best guess
Standard errorVariability of a sample statistic
Confidence intervalRange likely containing the true value
Margin of errorHalf-width of the interval