Using the Normal Distribution: Practice Problems


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question 1 of 3

What is a Z-score?

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1. A store sells suits that are only designed for men who are very tall. The smallest suit they make fits any man who is 75 inches tall. If the average height of men is 70 inches, with a standard deviation of 5 inches, then how many men can shop at this store?

2. What is the fastest way to find Z-score percentages?

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About This Quiz & Worksheet

With this quiz and worksheet, you can review how to calculate and interpret Z-scores. Answer questions about the meaning of the term Z-score, the fastest way to find this score and what Z-scores measure.

Quiz & Worksheet Goals

Use these practice questions to assess your knowledge of:

  • The standard place value to which a Z-score should be rounded
  • A quick method for finding Z-score percentages
  • What one-sided and two-sided Z-scores represent

Skills Practiced

  • Interpreting information - read and interpret information about the correct way to calculate Z-scores
  • Defining key concepts - choose the right definition for the term Z-score
  • Distinguishing differences - demonstrate that you know the difference between a one-sided and two-sided Z-score

Additional Learning

For extra practice and to learn details about finding and using Z-scores, read the lesson called Using the Normal Distribution: Practice Problems. This lesson reviews:

  • How Z-scores are related to standard deviation
  • Clues for figuring out the direction of a data set
  • The relative significance of positive and negative Z-scores
  • Two real-world examples of how Z-scores are applied