Normal Distribution Worksheet
Grade 11 Math worksheet covering key concepts of normal distribution, including properties, empirical rule, and z-scores.
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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.
The normal distribution, often called the bell curve, is a common continuous probability distribution. Normal distributions are symmetric, with a single peak at the mean, and the data values are distributed in a predictable way around the mean.
1. Which of the following is NOT a property of a normal distribution?
It is symmetrical about the mean.
The mean, median, and mode are equal.
The tails never touch the x-axis.
It is always positively skewed.
2. According to the Empirical Rule (68-95-99.7 rule), approximately what percentage of data falls within two standard deviations of the mean in a normal distribution?
68%
95%
99.7%
50%
3. The area under the entire normal distribution curve is equal to .
4. A z-score measures how many deviations a data point is from the mean.
5. In a normal distribution, approximately % of the data falls within one standard deviation of the mean.
6. Explain the significance of the mean and standard deviation in a normal distribution.
7. The shape of a normal distribution is determined solely by its mean and standard deviation.
True
False
8. The scores on a math test are normally distributed with a mean of 75 and a standard deviation of 5. Calculate the z-score for a student who scored 85 on the test.
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