Which type of statistics allows one to generalize from sample data to a population?

• A. Descriptive statistics
• B. Predictive statistics
• C. Bayesian statistics
• D. Inferential statistics

Answer: (D)

Inferring from a sample to a larger group relies on inferential statistics. This approach uses data from a sample to estimate population parameters (like a mean or proportion) and to quantify the uncertainty of those estimates. It allows us to make probabilistic claims about the whole population, not just the observed individuals, by applying probability theory and sampling principles. Tools like confidence intervals show a range where the true population value likely lies, and hypothesis tests assess whether observed effects are likely to reflect the population rather than random variation.

Descriptive statistics, by contrast, describe the characteristics of the sample itself and don’t generalize beyond it. Predictive statistics focus on forecasting future observations, which can involve various methods but isn’t specifically about generalizing to a population parameter. Bayesian statistics is a framework for updating beliefs with data, and while it can be used for inference about populations, the standard term that captures generalizing from sample to population is inferential statistics.