Normal Distribution: Definition, Properties, Characteristics & Example


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question 1 of 3

You are creating a tree house and have made the doorway into the structure 71 inches tall. Suppose the average height of adult males is 68 inches with a standard deviation of 3 inches. What percentage of men will have to bend their heads to get into the house?

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1. The tail lengths of a certain animal are normally distributed with a mean length of 1.5 feet and a standard deviation of 3 inches. What percentage of these animals have a tail that is at most one foot long?

2. A distribution of data has a mean of 15 and a standard deviation of 2. How many standard deviations away from the mean is a value of 13?

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About This Quiz & Worksheet

Normal distribution is a way of distributing data, and you can ensure your proficiency with its use through this combination of assessments. Practice questions in the quiz will have you solve for variables in a number of real life situations based on standard deviation, as well as identifying properties of normal distribution.

Quiz & Worksheet Goals

You will be asked about the following topics by quiz questions:

  • Properties of the normal distribution
  • Percentages based on standard deviations
  • Solving for score based on standard deviation
  • Probability calculations using standard deviations
  • How many standard deviations a number is from the mean

Skills Practiced

You will have a chance to exemplify your ability in:

  • Problem solving - use acquired knowledge about standard deviation to solve practice problems
  • Interpreting information - verify that you can read information regarding calculating probability and interpret it correctly
  • Information recall - access the knowledge you've gained regarding finding percentages using standard deviation
  • Reading comprehension - ensure that you draw the most important information from the related lesson on normal distribution and its properties

Additional Learning

Consult the associated lesson for this math topic, named Normal Distribution: Definition, Properties, Characteristics & Examples, for additional information. Objectives covered within this lesson include:

  • Define key concepts, such as normal distribution and the empirical rule
  • Relate normal distribution to real life applications, like the life span of tires
  • Explain why normal distribution has its distinct shape
  • Solve practice problems in the lesson using normal distribution and standard deviation