What are the properties of a normal distribution?
An example of an AI chatbot conversation about the properties of normal distribution.
What are the properties of a normal distribution?
A normal distribution is symmetric, bell-shaped, and defined by its mean and standard deviation. It has several key properties.
Can you explain the significance of the mean and standard deviation?
Sure! The mean determines the center of the distribution, while the standard deviation measures the spread or variability.
What does it mean for a distribution to be symmetric?
A symmetric distribution means that the left and right sides of the distribution are mirror images of each other.
How does the empirical rule apply to normal distributions?
The empirical rule states that about 68% of data falls within one standard deviation of the mean, 95% within two, and 99.7% within three.
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