ecech.
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Math & Statistics Tools

Percentages, averages, deviation, significance and ratio maths, each with the working shown rather than just an answer.

Built for students, analysts, researchers. 19 tools published.

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Attendance Calculator

Every absence raises the number of future sessions needed to recover, because the denominator grows alongside the numerator.

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Compound Growth

Percentages multiply, they do not add. Apply a sequence of changes and see where you actually end up, including what it takes to recover a loss.

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Decimal to Fraction

Putting the digits over a power of ten is exact and useless. Continued fractions find the simplest fraction that is close enough — the same method that gives 355/113 for π.

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Final Grade Calculator

What do I need on the final to pass? Says plainly when a target is out of reach, and shows the whole range of outcomes rather than one number.

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Fraction Calc

Fractions are exact and decimals are not. This keeps integers all the way through and only rounds when it prints.

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Grade Recovery Path

Translate earned points and remaining weight into a required future average.

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Mean Median Mode

All three centres at once, with the working shown and a distribution plot that makes it obvious when they disagree — which is exactly when the average is misleading you.

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Missing Data Range

Compute best and worst feasible means from declared value bounds rather than one imputed guess.

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Percent of Total

Three equal parts are 33.3% each, which sums to 99.9. Rounding each value correctly does not fix it. Largest-remainder allocation does.

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Percentage Calc

Three different questions share the word percentage, and a fall is never undone by a rise of the same size.

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Percentage Change

Four related questions in one place — change between two numbers, apply a percentage, find the original, and see the working written out so you can check it.

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Percentage Error

Same two numbers, same gap of 50. The answer depends entirely on which one you divide by — which is why the choice has to be justified.

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Pooled Standard Deviation

Weight sample variances by their degrees of freedom instead of averaging standard deviations.

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Probability to Odds

Translate a percentage probability into odds for and odds against.

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Progress ETA

A progress bar extrapolates from the last instant. Measuring over a longer window is the whole reason a manual estimate is better.

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Randomization Plan

Allocate participant IDs across arms inside blocks while preserving exact counts and audit order.

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Reverse Percentage

The sale price is £80 after 20% off — what was it before? Not £96. Adding a percentage back is not the same as taking it off, and this shows why.

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Wide to Long CSV

Turn wide repeated-measure columns into tidy variable and value rows.

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Z-Score Percentile

Show left-tail percentile, upper tail and two-sided tail from one standard-normal z-score.