Normal Distribution Properties
- Identify the properties present in the graph of a normal distribution.,
- Give an example of a real-world scenario in which a normal distribution is applicable
Properties of a Normal Distribution
- Symmetry: The graph of a normal distribution is symmetric about the mean, meaning the left and right halves are mirror images.
- Bell-Shaped Curve: The shape of the distribution is bell-shaped, with the highest point at the mean, which is also the median and mode of the distribution.
- Mean, Median, and Mode Equality: In a normal distribution, the mean, median, and mode are all equal and located at the center of the distribution.
- 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 about 99.7% falls within three standard deviations.
- Asymptotic Nature: The tails of the normal distribution curve approach the horizontal axis but never actually touch it, indicating that there is a possibility of extreme values, albeit very low…
Properties of a Normal Distribution
- Symmetry: The graph of a normal distribution is symmetric about the mean, meaning the left and right halves are mirror images.
- Bell-Shaped Curve: The shape of the distribution is bell-shaped, with the highest point at the mean, which is also the median and mode of the distribution.
- Mean, Median, and Mode Equality: In a normal distribution, the mean, median, and mode are all equal and located at the center of the distribution.
- 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 about 99.7% falls within three standard deviations.
- Asymptotic Nature: The tails of the normal distribution curve approach the horizontal axis but never actually touch it, indicating that there is a possibility of extreme values, albeit very low…
Properties of a Normal Distribution
- Symmetry: The graph of a normal distribution is symmetric about the mean, meaning the left and right halves are mirror images.
- Bell-Shaped Curve: The shape of the distribution is bell-shaped, with the highest point at the mean, which is also the median and mode of the distribution.
- Mean, Median, and Mode Equality: In a normal distribution, the mean, median, and mode are all equal and located at the center of the distribution.
- 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 about 99.7% falls within
