FreeTools Labs Glossary
Statistics, probability and analysis
Learn how statistical measures summarise data, reveal differences and why they always need context for interpretation.
Relevant tool
Statistics summarises data and makes distributions, variation and relationships easier to read. It does not replace careful interpretation of context.
Describe a data set
Mean, median and mode answer different questions. The mean is sensitive to outliers, the median is the middle ordered observation, and the mode is the most frequent value.
Minimum, maximum and range show extremes, not the whole shape of a distribution.
Location and spread
Variance and standard deviation describe spread around a mean. Quartiles divide ordered data into parts, and their distance is the interquartile range.
Population and sample measures serve different purposes, so they should not be treated as interchangeable.
Weights, probability and relationships
A weighted mean intentionally gives some observations more influence. Probability describes a model for events, not a guarantee for a single result.
Correlation and linear regression can reveal patterns. Correlation does not prove causation or identify a cause.
Interpret with care
Outliers may be errors, genuine exceptional cases or part of a broad distribution; they should not be deleted automatically.
Data collection, sample size and the question asked matter as much as the calculated statistic.
Avoid false precision
More decimals do not make a small or biased data set reliable. Inference and confidence intervals require suitable assumptions and interpretation.
A statistical summary is not a diagnosis, a prediction guarantee or advice for an individual case.
How our statistics calculator works
Our tool provides descriptive analysis, weighted data, correlation and linear regression. It calculates location and spread measures, quartiles, frequencies and further metrics from entered data.
Additional areas support probabilities, binomial calculations and selected inferential calculations. The tool does not decide which metric is appropriate for your question.