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Chapter 4: Measures of Position

CHAPTER 4

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Measures of Position

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You should study the topics in this chapter if you need to review

or want to learn about

Measures of Position

How to compute these measures and investigate some of their

properties.

The z-score or Standard Score

Percentiles

Outliers

Box Plots

4 - 1 Introduction

Once you read this chapter and study these topics you will recognize that

these measures deal with only one property of the data set or distribution.

This property is the position or location of a data value relative to the other

values in the data set or distribution. The measures studied here will give

some understanding of where a data value is located in the data set.

However, you will need to combine these position or location measures with

other properties in order to fully understand the true nature of the data set.

Other properties for single variable data have been studied in previous

chapters and also will be investigated in later chapters.

Definition: Measure of Position

A measure of location or position for a collection of data values is a number

that is meant to convey the idea of the relative position of a data value with

respect to the other values in the data set.