Normal Distribution Worksheet
Explore the properties and applications of the normal distribution, including standard deviation, mean, and probability calculations, suitable for Grade 12 mathematics.
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Normal Distribution Practice
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Read each question carefully and provide your answers in the space provided. Show all your work for calculations.
1. What are the key characteristics of a normal distribution (bell curve)? List at least three.
2. Explain the empirical rule (68-95-99.7 rule) in the context of a normal distribution.
3. The center of a normal distribution is represented by its .
4. The spread or dispersion of a normal distribution is measured by the .
5. A normal distribution with a mean of 0 and a standard deviation of 1 is called the .
6. Approximately what percentage of data falls within one standard deviation of the mean in a normal distribution?
50%
68%
95%
99.7%
7. The scores on a math test are normally distributed with a mean of 75 and a standard deviation of 8. What percentage of students scored between 67 and 83?
8. Label the approximate percentages for each section of the normal distribution curve shown above, according to the empirical rule.