What's the difference between Bell curve and Gaussian distribution

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SUMMARY

The Bell curve and Gaussian distribution refer to the same mathematical concept, represented graphically as the probability density function (PDF) of the Gaussian distribution. While the terms are often used interchangeably with "normal distribution," the Bell curve can also describe any smooth, bell-shaped graph with one peak and two inflection points. In practice, "Gaussian" is commonly used in physics, "normal" in statistics, and "Bell curve" in popular science literature, although these distinctions are not strict.

PREREQUISITES
  • Understanding of probability density functions (PDF)
  • Familiarity with statistical terminology, particularly "normal distribution"
  • Basic knowledge of Gaussian distribution properties
  • Awareness of the context in which these terms are used across different fields
NEXT STEPS
  • Explore the mathematical properties of Gaussian distribution
  • Learn about the applications of normal distribution in statistics
  • Investigate the use of Bell curves in various scientific disciplines
  • Study the differences between statistical distributions and their graphical representations
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Statisticians, data analysts, researchers in physics, and anyone interested in the applications of probability distributions in various fields.

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I was looking to the definition of the Bell curve, and the Gaussian distribution, but I don't see any difference when we represent them in a graph. Both have the same Bell curve. What is the difference between the Bell curve and the Gaussian distribution?
 
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I found the solution.

The bell curve is the graph of the PDF of the gaussian distribution
 
Often bell curve and Gaussian distribution are used interchangeably with normal distribution. But sometimes people use bell curve to mean anything which looks kind of like a bell: smooth, with one lump in the middle, two inflection points, and rapidly-decreasing tails on either end.

I usually see Gaussian used in physics, normal used in statistics, and bell curve used in pop-science articles. But that's just a guideline.
 

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