Normal Distribution Basics
Explore the fundamental concepts of normal distribution, including its characteristics, parameters, and applications.
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Normal Distribution Basics
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Read each question carefully and answer to the best of your ability. Show all your work where applicable.
1. Which of the following best describes the shape of a normal distribution?
Skewed to the left
Rectangular
Bell-shaped and symmetrical
Bimodal
2. In a normal distribution, approximately what percentage of data falls within one standard deviation of the mean?
34%
68%
95%
99.7%
3. The mean, median, and mode are all in a perfect normal distribution.
4. The spread of a normal distribution is determined by its .
5. All real-world data sets perfectly fit a normal distribution.
True
False
6. The empirical rule (68-95-99.7 rule) applies specifically to normal distributions.
True
False
7. Describe two key characteristics of a normal distribution.
8. Explain the difference between the mean and the standard deviation in the context of a normal distribution.
9. The diagram below represents a normal distribution. Label the mean (μ) and the points representing one, two, and three standard deviations (σ) from the mean on both sides.
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