Non Normal Distributions by James Grow

9/2/99


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Table of Contents

Non Normal Distributions by James Grow

Introduction

Salaries for a company

To calculate median count n+1/2 salaries.

The second of nineteen salaries is $300.

The tenth salary out of nineteen is the median.

The mean is the sum of all the salaries divided by their number.

The sum total for 19 salaries is $11,200.

For a mean of $589

If the salary of the president doubles what will happen?

The mean changes significantly.

The median does not change.

Median = 450 Mean = 668

The First Quartile is the salary 1/4 of the way to the top.

The Third Quartile is salary 3/4 the way to the top.

Add a begging and an end to get a description of the distribution.

Let us look at hot dogs.

They can be made from different ingredients.

and they contain varying calories.

How are the number of calories measured?

Calorie Analysis for the various ingredients of hot dogs.

First, the Hot dogs are cut up.

Then a chemical analysis is done.

Water Content

The sample is weighed after grinding.

The baked and weighed again.

The weight loss is due to water.

Fat Analysis: dissolve all in acid but the fat, centrifuge, measure fat

Protein Analysis: sample is dissolved, and complex tests used

The data from consumer report can be used to construct box plot

using the 1st & 3rd quartiles, the median, and the extremes

A comparison can be made between types of hot dogs.

The median of poultry dog is lower.

In fact, its first quartile is lower than the third quartile of beef dogs.

However, a few brands of chicken dogs do have a high calorie count.

even higher than the median for all beef and meat dogs

The inner quartile range (IQR) is a measure of the spread

Being out side of an acceptable spread can be recognized

using musical sounds

to designate problems.

Author: Compaq User

Email: Grow@adm.njit.edu

Home Page: http://www-ec.njit.edu/~grow/statisti.htm

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