Which of the following is true regarding normal distribution?

Which of the following is true regarding normal distribution?

• A. It can be skewed
• B. It is always symmetric
• C. It has multiple modes
• D. It always has a peak

Answer: (B)

Normal distribution is characterized by its specific shape and properties. The correct assertion states that normal distribution is always symmetric. This symmetry means that if you were to draw a vertical line through the center of the distribution, the left and right halves would be mirror images of each other. This reflects the inherent properties of a normal distribution, where the mean, median, and mode are all located at the same central point, contributing to its balanced, bell-shaped curve. In contrast, the other options describe characteristics that do not hold true for a normal distribution. Skewness indicates an asymmetrical distribution, which contradicts the definition of normality. A normal distribution cannot have multiple modes, as it is unimodal, meaning it has only one peak. Lastly, while a normal distribution does have a peak, this is not its defining characteristic, as the peak alone could apply to distributions that do not follow the normal shape. The defining features of a normal distribution revolve around its symmetry and unicity.

Normal distribution is characterized by its specific shape and properties. The correct assertion states that normal distribution is always symmetric. This symmetry means that if you were to draw a vertical line through the center of the distribution, the left and right halves would be mirror images of each other. This reflects the inherent properties of a normal distribution, where the mean, median, and mode are all located at the same central point, contributing to its balanced, bell-shaped curve.

In contrast, the other options describe characteristics that do not hold true for a normal distribution. Skewness indicates an asymmetrical distribution, which contradicts the definition of normality. A normal distribution cannot have multiple modes, as it is unimodal, meaning it has only one peak. Lastly, while a normal distribution does have a peak, this is not its defining characteristic, as the peak alone could apply to distributions that do not follow the normal shape. The defining features of a normal distribution revolve around its symmetry and unicity.