Which of the following lists the criteria for using a normal curve as a model for a distribution? (1 point)

Question

The data values follow the Empirical Rule, the mean is in the center of the data, and the distribution is bell-shaped.

The distribution is bell-shaped, the standard deviation is in the center of the data, and the data values follow the Empirical Rule.

The data values follow the Empirical Rule, the standard deviation is in the center of the data, and the distribution is skewed to the left or right.

The distribution is bell-shaped, the mean and the standard deviation are approximately equal and in the center of the data, and the data values follow the Empirical Rule.

Answer 1

The correct option is:

The data values follow the Empirical Rule, the mean is in the center of the data, and the distribution is bell-shaped.

This option accurately describes the criteria for using a normal curve as a model for a distribution, emphasizing the bell shape of the distribution, the centrality of the mean, and the applicability of the Empirical Rule (which states that approximately 68% of the data falls within one standard deviation, 95% within two standard deviations, and 99.7% within three standard deviations of the mean).