Normal Distribution Basics

Explore the fundamental concepts of normal distribution, including its characteristics, parameters, and applications.

Grade 9 Math Probability and StatisticsNormal Distribution

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Multiple ChoiceFill in the BlanksTrue / FalseShort AnswerCustom

Standards

CCSS.MATH.CONTENT.HSS.ID.A.4

Topics

Normal DistributionBell CurveStatisticsProbabilityGrade 9 Math

7 sections · Free to use · Printable

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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.