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

Solution

The normal distribution, also known as the Gaussian distribution, has several key properties: 1. Symmetry: It is symmetric around its mean (μ), meaning the left and right sides of the distribution are mirror images. 2. Mean, Median, and Mode: These are all equal and located at the center of the distribution. 3. Bell-Shaped Curve: The graph of the normal distribution is bell-shaped and peaks at the mean. 4. Asymptotic: The tails approach the horizontal axis but never touch it. 5. Defined by Mean and Standard Deviation: Completely characterized by its mean (μ) and standard deviation (σ). 6. Empirical Rule: Approximately 68% of data falls within ±1σ, 95% within ±2σ, and 99.7% within ±3σ of the mean