Question
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 (ΞΌ), 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 (ΞΌ) and standard deviation (Ο). 6. Empirical Rule: Approximately 68% of data falls within Β±1Ο, 95% within Β±2Ο, and 99.7% within Β±3Ο of the mean
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