Which of the following is a characteristic of the normal distribution?

1. Symmetry: A normal distribution has a bell-shaped curve. It is symmetric around the mean, which means the left half of the distribution is a mirror image of the right half.

2. Mean, Median, Mode are equal: In a normal distribution, the mean, median, and mode are all equal and are located at the center of the distribution.

3. Empirical Rule: Approximately 68% of the data falls within one standard deviation of the mean, 95% falls within two standard deviations, and 99.7% falls within three standard deviations. This is also known as the 68-95-99.7 rule.

4. Asymptotic: The curve of the normal distribution gets closer and closer to the horizontal axis but never touches it, which means the tails of the distribution extend to infinity.

5. Defined by two parameters: The shape of a normal distribution is defined by its mean (μ) and standard deviation (σ). The mean determines the center of the distribution, and the standard deviation determines the spread of the distribution.

The characteristics of a normal distribution are:

1. Symmetry: A normal distribution has a bell-shaped curve, which means it is symmetric. The left side of the curve is a mirror image of the right side.

2. Mean, Median, Mode: In a normal distribution, the mean, median, and mode are all equal and are located at the center of the distribution.

3. 68-95-99.7 Rule: Approximately 68% of the data falls within one standard deviation of the mean, 95% falls within two standard deviations, and 99.7% falls within three standard deviations. This is also known as the empirical rule.

4. Asymptotic: The curve of a normal distribution never touches the x-axis. This means that theoretically, there are no minimum or maximum values.

5. Unimodal: A normal distribution has one peak. This peak represents the most common value of the variable.

6. Dependence on Mean and Standard Deviation: The shape of the normal distribution is determined by the mean and the standard deviation. The mean determines the center of the distribution, and the standard deviation determines the spread of the distribution.