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Chapter 10—Probability and Statistics

10-2 Statistics

 

When you complete the work for this section, you should be able to:

 

Gathering Data

 

Average, or Mean, Values

 

Definition

The average, or arithmetic mean, of a group of numbers is the center point of all those number values.

Notes

  • Average and arithmetic mean are simply two different terms for the same thing.
  • Arithmetic mean is pronounced as ar-ith-MET-ik, and not as ar-ITH-me-tik.
  • Arithmetic mean is often spoken more simply as the mean.

 

Procedure

To find the average, or arithmetic mean, of a set of numbers:

  1. Add the given values
  2. Divide the sum by the number of values.

Examples of Calculating Averages

Examples and Exercises

Determine the average, or mean, value of the set of numbers shown here.

  • Show all you work on a sheet of paper.
  • Continue the exercises until you can work them without making mistakes.

 

Working with Median Values

Definition

The median value is the exact middle value of a set of numbers.

 

 

Procedure

To find the median value of a set of numbers:

 

When there is an odd number of values,
  1. Arrange the numbers in numerical order.
  2. Find the value in the middle of the list.
    That value is the median value


Odd number of values

 

When there is an even number of values,
  1. Arrange the numbers in numerical order.
  2. Locate the two middle numbers in the list.
  3. Find the average of those two middle values.
    That is the median value


Even number of value

Example

 

 

 

Examples and Exercises

Determine the median value for data having an odd number of values.

  • Show all you work on a sheet of paper.
  • Continue the exercises until you can work them without making mistakes.

 

Example

 

 

 

Examples and Exercises

Determine the median value for data having an even number of values. Round the result to the nearest 10th (1 decimal place),

  • Show all you work on a sheet of paper.
  • Continue the exercises until you can work them without making mistakes.

 

 

Author: David L. Heiserman
Publisher: SweetHaven Publishing Services

Copyright © 2007, David L. Heiserman
All Rights Reserved