A statistics calculator that shows its work.

StatGlyph is a scientific calculator built around a statistics course. Every answer arrives with the steps that produced it: the formula, the substitution, the curve, and the table row it came from.

Built by a university mathematics instructor after three decades of teaching statistics, for students who deserve more than a bare decimal.

iPhone in your pocket

iPad with Apple Pencil

Mac on the desktop

StatGlyph on iPhone: the scientific keypad with a mixed number, nine and one half, on the stack

The iPhone calculator face. That first entry is a mixed number — 9 ½ — typed with the a b/c key, the way it is written on paper.

The idea

Answers with their reasoning attached

Ask an ordinary calculator for a standard deviation and you get 8.7758. StatGlyph gives you the same number at the end of the worked example: the mean as a fraction, a table with every deviation and its square, the sums, the formula with your numbers substituted in, and the boxed answer — typeset the way it appears in your textbook.

It is the difference between being handed a number and being shown how the number happened. For a student checking homework, the card is the homework.

$A StatGlyph worked card computing a sample standard deviation: the mean as a fraction, a full table of deviations and squared deviations for twelve values, the substituted formula, and the boxed answer s = 8.7758$

One tap on Standard Deviation: the entire computation, worked.

On iPhone, turn the phone sideways and the calculator face flips to the results feed — a running record of the problems you have worked, each one a small worked example.

StatGlyph results feed on iPhone showing a worked normal distribution card: symbol definitions, the boxed answer P(X<1) = 0.8413 = 84.13%, and a shaded bell curve

The results feed on iPhone: definitions, the boxed answer, and the shaded curve.

Distributions

The picture and the table, together

Ask for P(X > 0.35) and the card draws the curve with the region shaded, states the answer in context, and lays the z-table underneath with the row and column highlighted — so students see that the graph, the probability, and the table entry are three views of the same fact, not three separate skills to memorize.

StatGlyph on iPad: the Normal panel set to X > 0.35 beside a worked card with the right tail shaded and a left-tail z-table below with the 0.3 row and .05 column highlighted

P(X > 0.35) = 36.32%: the shaded right tail, and the z-table with its row and column lit.

Histogram and box plot cards for a data column, the box plot annotated with min, quartiles, median, and max

Histograms and box plots from your data, with the five-number summary spelled out.

A sampling distribution pair of cards: the exact Normal population curve, and a histogram of the means of 500 samples of size 30

Sampling distributions, simulated for real: 500 sample means from a population you chose.

A reference card translating English phrases into inequality symbols: at most, fewer than, more than, and so on

Words to symbols: "at most", "fewer than", "more than" — translated, with examples.

On iPad

A workspace, not just a keypad

On iPad the calculator and the results sit side by side. Open the Distributions panel, set the bounds, and the worked card lands next to your keypad — curve, live z-table and all. Then pick up your Apple Pencil: every result card stretches open to give you blank writing room right beneath the mathematics, so you can work the next step by hand without leaving the problem. Your writing stays glued to that card, at any zoom.

StatGlyph on iPad: the Normal distribution panel and keypad on the left, and on the right a worked card with shaded curve, z-table, and writing room stretched open below

iPad, landscape: the Normal panel on the left; the worked card, its z-table, and Pencil writing room stretched open on the right.

On the Mac

The same calculator, native on the desktop

StatGlyph on the Mac is a real Mac app, not a port of the phone screen. The whole keypad is mapped to your keyboard — digits, operators, and the shifted function layers — so a homework session never makes you reach for the trackpad. It follows your system light and dark appearance, and the results feed folds away when all you want is the calculator.

StatGlyph running as a native Mac window in light mode, showing the full scientific statistics keypad

The native Mac window, light appearance.

Details

What is on the keys

● Full statistics suite

Data tables, plots, 1-variable and 2-variable summaries, probability, distributions, sampling & standard error, confidence intervals, hypothesis tests, and ANOVA — each behind its own key.

● Fractions that read like math

The a b/c key types mixed numbers the way they are written by hand. Results reduce automatically, and one key flips a fraction between mixed, improper, and decimal form.

● Distributions you can see

Normal, binomial, and friends draw their curves with the probability region shaded, and show the matching table row — so the picture and the table stop being separate skills.

● A real scientific keypad

Trig with inverse and reciprocal functions, logs, powers, roots, scientific notation, and a visible RPN stack that keeps your last results in reach.

● Textbook typesetting

Worked cards are set in proper mathematical notation — fractions, radicals, summations — not calculator shorthand.

● Private by design

StatGlyph works entirely on your device. No account, no sign-in, nothing sent anywhere. It behaves like a calculator, because it is one.