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Maths calculators for Class 1–12 · CBSE, ICSE & state boards, UK KS1–A-level, IGCSE, US Common Core & AP — every answer worked out step by step.

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Ask anything in maths — type an expression or a plain-English question. The answer comes back as a set of panels: the result, other forms, a plot, roots, derivative, integral, number facts and a step-by-step solution, just like a computational knowledge engine.


Lower and Upper Fence Calculator: worked out step by step

Find the lower fence Q₁ − 1.5 × IQR and the upper fence Q₃ + 1.5 × IQR: any number outside them is a potential outlier. Made for Class 10 to 12 (CBSE, ICSE and state boards), UK Year 11 to 13, US Grade 10 to 12.

Worked example

With numbers 72, 45, 88, 61, 93, 58, 67, 84, 52, 75, 97, 64, 70, 81, 78, fence multiplier 1.5 × IQR (the usual fences: mild outliers), the answer is lower fence = 26.5 and upper fence = 118.5. The full working has 8 steps.

Questions about this calculator

What does the Lower and Upper Fence Calculator do?

Find the lower fence Q₁ − 1.5 × IQR and the upper fence Q₃ + 1.5 × IQR: any number outside them is a potential outlier.

Is the Lower and Upper Fence Calculator free?

Yes. Everything on numolve is free to try. numolve Plus adds the full step-by-step working, photo scan, answer keys and PDF worksheets.

Does the Lower and Upper Fence Calculator show the working?

Yes. It shows the working one step at a time, with the formula where there is one. Free users see the first three steps of each solution; numolve Plus shows all of them.

Which classes is it for?

It is made for Class 10 to 12 (CBSE, ICSE and state boards), UK Year 11 to 13, US Grade 10 to 12.

Can I use it on my phone?

Yes. numolve works in any phone browser, and the Get the app button installs it like an app on Android and iPhone.

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