DATA & AVERAGES
Summarize a dataset
Use mean and median deliberately instead of treating every “average” as the same statistic.
Open Average Calculator →VETIKA · MATH
Math
See the relationship, not only the answer.
Work with percentages, averages, ratios and fractions using focused calculators that show the result without hiding the method. Use each page for its distinct calculation and examples.
START HERE
Choose the kind of relationship you need to work with
Start with the mathematical question: summarize values, work with percentages or compare quantities in equivalent forms.
PERCENTAGES
Work with parts and wholes
Solve basic percentage questions first, then move to change or difference when the comparison requires it.
Open Percentage Calculator →RATIOS & FORMS
Compare equivalent forms
Simplify ratios and connect ratios, fractions and decimals without losing what the quantities mean.
Open Ratio Calculator →METHOD & MEANING
The same numbers can answer different questions
Mean and median summarize differently. Percentage change and percentage difference use different reference points. Ratios, fractions and decimals can be equivalent while expressing different relationships.
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Guides and resources
Practical context connected to this category.
Math
Mean vs Median: Which Should You Use?
Compare arithmetic mean and median using concrete datasets, outliers and skewed distributions, and learn when reporting both is useful.
Read guide
Math
Percentage Change vs Percentage Difference
Learn when to use directional percentage change and symmetric percentage difference, with formulas, zero-baseline caveats and worked examples.
Read guide
Math
Ratios, Fractions and Decimals Explained
Understand ratios, fractions and decimals, including equivalent forms, simplification, terminating and repeating decimals, and part-to-part versus part-to-whole meaning.
Read guide