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A Sojourn with Numerical Approximations to the Normal Distribution Suitable for the Undergraduate Classroom

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A piecewise polynomial approximation reduces mathematical complexity while being student-friendly.
The study contrasts various approximations, evaluating mean and maximum absolute errors for effectiveness.
Lagrange and Chebyshev polynomial interpolants are analyzed, offering valuable insights for teaching.
Classroom examples are provided to facilitate understanding and practical application for students.

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Classroom analysis compares Lagrange and Chebyshev polynomial approaches, highlighting effectiveness in simplifying calculations.

Swim et al. (2025) studied this question.

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