A Gaussian distribution is usually described as which shape?

A Gaussian distribution is usually described as which shape?

• A. Bell-shaped
• B. Rectangular
• C. Uniform
• D. Skewed

Answer: (A)

The shape being tested is the bell-shaped curve. A Gaussian distribution forms a symmetric, single-peaked curve centered at the mean, with probabilities that decline smoothly as you move away from the center and extend indefinitely in both directions. This bell shape reflects how most observations cluster near the mean and fewer occur further away, a pattern explained by the normal density function and reinforced by the central limit theorem. It differs from rectangular or uniform shapes, which would have flat, equal probabilities across a range, and from skewed shapes, which are asymmetric with a longer tail on one side.

The shape being tested is the bell-shaped curve. A Gaussian distribution forms a symmetric, single-peaked curve centered at the mean, with probabilities that decline smoothly as you move away from the center and extend indefinitely in both directions. This bell shape reflects how most observations cluster near the mean and fewer occur further away, a pattern explained by the normal density function and reinforced by the central limit theorem. It differs from rectangular or uniform shapes, which would have flat, equal probabilities across a range, and from skewed shapes, which are asymmetric with a longer tail on one side.