The normal distribution is often described as having which shape?

The normal distribution is often described as having which shape?

• A. Bell-shaped
• B. J-shaped
• C. Uniform
• D. Triangular

Answer: (A)

The shape primarily being tested is the bell-shaped curve of the normal distribution. It is symmetric around the mean, with a single peak at the center and smooth tails on both sides. This arises from the Gaussian probability density function, where values near the mean are most likely and the likelihood decreases gradually as you move away from the mean, producing that distinctive bell form. The tails extend indefinitely and never flatten into a straight line, which sets it apart from flat (uniform) or triangular shapes. A J-shaped curve would indicate skewness and increasing density in one direction, which the normal distribution does not have, so that choice doesn’t fit.

The shape primarily being tested is the bell-shaped curve of the normal distribution. It is symmetric around the mean, with a single peak at the center and smooth tails on both sides. This arises from the Gaussian probability density function, where values near the mean are most likely and the likelihood decreases gradually as you move away from the mean, producing that distinctive bell form. The tails extend indefinitely and never flatten into a straight line, which sets it apart from flat (uniform) or triangular shapes. A J-shaped curve would indicate skewness and increasing density in one direction, which the normal distribution does not have, so that choice doesn’t fit.