Normal Distribution Practice Problems

Steve Phelps, Sep 28, 2017

Use these problems to practice working with the 68-95-99.7 rule and to practice working with the Normal Model.

Table of Contents

  1. The Empirical Rule
    1. The 68-95-99.7 Rule
    2. 68-95-99.7 Rule Practice
  2. Normal Distribution Practice Problems
    1. Normal Distribution Practice Problems
    2. Randomly Generated Normal Distribution Practice Problems
  3. Normal Distribution Puzzle
    1. Normal Distribution puzzles

1.

The Empirical Rule

Grab a piece of paper to sketch the 68-95-99.7 Normal Model to answer these questions!

  • 1. The 68-95-99.7 Rule
  • 2. 68-95-99.7 Rule Practice

1.1.

The 68-95-99.7 Rule

The figure below will help you to visualize the 68-95-99.7 Rule (or the Empirical Rule) for a Normal Distribution.[br]The histogram displays 100 data values from a population N(0,1).[br]The histogram is centered on the mean of the data.[br]The width of each bin is the standard deviation of the data. Therefore, the bin boundaries are z-scores.[br]The numbers on each bin is the number of data values in the bin. Since there are 100 data values, these numbers[br]are percents.
The 68-95-99.7 Rule
– Steve Phelps

1.2.

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2.

Normal Distribution Practice Problems

Grab your Nspire and use these to practice working with the Normal Distribution!

  • 1. Normal Distribution Practice Problems
  • 2. Randomly Generated Normal Distribution Practice Problems

2.1.

Normal Distribution Practice Problems

There are 7 typically encountered Normal distribution problems. Drag the slider to try a different problem.[br]Check your answers as you go.
Normal Distribution Practice Problems
– Steve Phelps

2.2.

–

3.

Normal Distribution Puzzle

  • 1. Normal Distribution puzzles

3.1.

Normal Distribution puzzles

For each row in the table, find the values of a, b, c, and d.
– Steve Phelps

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