Which statement is true about the mean of a normal distribution?

Which statement is true about the mean of a normal distribution?

• A. It cannot be zero
• B. It determines the central tendency
• C. It is always positive
• D. It is irrelevant to the curve shape

Answer: (B)

The statement that the mean determines the central tendency of a normal distribution is correct. In a normal distribution, the mean is a crucial statistical measure as it indicates the center of the data. This central point is where the peak of the distribution occurs, and it is also a measure around which the values are symmetrically distributed. Since a normal distribution is defined by its mean and standard deviation, the mean serves as a reference point for understanding where most data points lie. In a normal distribution, the values to the left and right of the mean are balanced, contributing to the overall shape of the distribution, which is bell-shaped. Thus, the mean is essential for interpreting the distribution's characteristics, including where the highest likelihood of data occurrence is found. The other options, while they may present characteristics associated with distribution, do not accurately describe the fundamental role of the mean in a normal distribution.

The statement that the mean determines the central tendency of a normal distribution is correct. In a normal distribution, the mean is a crucial statistical measure as it indicates the center of the data. This central point is where the peak of the distribution occurs, and it is also a measure around which the values are symmetrically distributed. Since a normal distribution is defined by its mean and standard deviation, the mean serves as a reference point for understanding where most data points lie.

In a normal distribution, the values to the left and right of the mean are balanced, contributing to the overall shape of the distribution, which is bell-shaped. Thus, the mean is essential for interpreting the distribution's characteristics, including where the highest likelihood of data occurrence is found.

The other options, while they may present characteristics associated with distribution, do not accurately describe the fundamental role of the mean in a normal distribution.