Finding the Mode Using Finite Differences | UPSC ISS 2017 Paper-1 | Problem-52 | RitwikMath

Learn how to find the **mode of a function using finite differences** through a previous year ISS/Statistics examination question. In this solution, we simplify the given polynomial, compute the first difference Δf(x), identify critical points, and use sign changes to determine the modal value.

✅ Polynomial simplification
✅ Finite difference method (Δf(x))
✅ Sign change analysis
✅ ISS / UPSC Statistics Optional PYQ
✅ Exam-oriented shortcut and concept clarity

Perfect for aspirants preparing for **ISS, UPSC Statistics Optional, CSIR NET, GATE, IIT JAM, and other competitive mathematics & statistics exams**.

📌 Follow for more Statistics, Mathematics, and PYQ solutions with step-by-step explanations.

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