Standard Normal Distribution: Definition & Example


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Which of the following is not a property of the standard normal distribution?

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1. Suppose SAT scores follow a normal distribution. The math scores have a mean of 500 with a standard deviation of 120, and verbal scores have an average of 520 with a standard deviation of 100. If you scored a 610 in math and a 620 in English, which score is more impressive compared to the population?

2. What does it mean to have a negative z-score?

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About This Quiz & Worksheet

Use this worksheet and quiz to see how well you understand standard normal distribution. Answer questions on subjects like the properties of standard normal distribution and normal distribution in SAT scores.

Quiz & Worksheet Goals

Use these study tools to:

  • Understand what it means to have a negative Z-score
  • Find the value of a Z-score
  • Calculate an actual test score from the average score and a standard deviation

Skills Practiced

You'll practice the following study skills while using these resources:

  • Reading comprehension - ensure that you draw the most important information from the related lesson on standard normal distribution
  • Critical thinking - apply relevant concepts to examine information about a negative Z-score in a different light
  • Information recall - access the knowledge you've gained regarding properties of standard normal distribution

Additional Learning

This lesson will guide you along in your studies of standard normal distribution. The lesson is called Standard Normal Distribution: Definition & Example, and it will cover the following:

  • Define 'standardized'
  • Understand the Empirical Rule
  • Recognize how to convert to the standard normal distribution