Normal Distribution Worksheet - Grade 10
This worksheet covers key concepts of normal distribution, including properties, standard deviation, and z-scores, suitable for Grade 10 mathematics students.
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Standards
Topics
Normal Distribution Practice
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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 is a key characteristic of a normal distribution?
It is always skewed to the right.
It has two modes.
It is symmetrical around its mean.
Its mean, median, and mode are always different.
2. Approximately what percentage of data falls within one standard deviation of the mean in a normal distribution?
50%
68%
95%
99.7%
3. The shape of a normal distribution curve is often referred to as a curve.
4. In a normal distribution, the mean, median, and mode are all .
5. A set of test scores are normally distributed with a mean of 75 and a standard deviation of 5. What percentage of students scored between 70 and 80?
6. Explain what a z-score represents in the context of a normal distribution.
7. For the normal distribution curve below, label the mean (μ) and the points representing one, two, and three standard deviations (σ) from the mean.
8. A normal distribution is always unimodal.
True
False