The IQR measures the range of the central 50% of the data. There are two other important measures of dispersion, called measures of relative position, which describe the The most common measures of position are percentiles, quartiles, and standard scores (aka, z-scores). Standard Scores Measures of relative standing, in the statistical sense, can be defined as measures that can be used to compare values from different data sets, or to compare values within the same data set. o Determine the range of a data set As with other types of measures, there is more than one approach to defining such a measure. Measures of position, quartiles, deciles, percentiles, definitions, examples. Quartiles any of the three values which divide a sorted data set into four equal parts, each part representing 1/4th Copyright 2008. A measure of relative standing is a measure of where a data value stands relative to the. Quartiles and Percentiles. i = ... n An observations z-score is a measure of the relative Name:_____ Date:_____ Statistics HW 3 Chapter 2.2 MEASURES OF RELATIVE POSITION PRACTICE 2.22 MORE TABLE A PRACTICE Introduction Percentiles Intro 1 We will talk about how to measure the position of an observation which describes its relative position with in the entire data set. Measures of Relative Standing. Your position in height is at the 76th percentile. o Percentile. Measures of Measures of Relative Standing Relative Standing (Position) (Position) Section 3 Section 3--4 4 With an idea of relative standing, we can say things like, You. (Lesson 7: Measures of Relative Standing or Position; 3-4) 3.31 z Score Rule of Thumb for Unusual Data Values Data values whose corresponding z scores are either less than 2 or greater than 2 (i.e., z < 2 or z > 2) are often considered unusual. Quartiles Definition(Quartiles) Thefirstquartile,Q1,isP25andseparatesthebottom25%fromthe top75%. Section 2.5, Measures of Position 1 The Five-Number Summary The three quartiles Q 1, Q 2, and Q 3 divide the data into four \equal" parts. 3.3 - Measures of Position Z-Scores Who is taller, a man 73 inches tall or a woman 68 inches tall? In other words, data values that are more than 2 SDs from the mean are Measures of Relative Position. Measures of Relative Position Percentile Quartile Box Plots Interquartile Range Potential Outliers Z-Score or Standard Score Statisticians often talk about the position of a value, relative to other values in a set of observations. o Measure of position. Sample z = x -x s Objectives . Measures of Position Percentiles Z-scores. There are two other important measures of dispersion, called measures of relative position, which describe the Pea rson Education, Inc. A measure of position is a method by which the position that a particular data value has within a given data set can be identified. 4. Chapter 3 Descriptive Statistics: Numerical Measures Slide 2 ... the position of the pthpercentile. Measures of Relative Standing This section introduces measures that can be ... L locator that gives the position of a value Pk kth percentile Measures of Relative Position Percentile Quartile Box Plots Interquartile Range Potential Outliers Z-Score or Standard Score Quartiles: o Quartile . Chapter 3 Descriptive Statistics Measures of Relative Position, by Jennifer Rice position. 1 Measures of Position ... mean relative to standard deviation. Name:_____ Date:_____ Statistics HW 3 Chapter 2.2 MEASURES OF RELATIVE POSITION PRACTICE 2.22 MORE TABLE A PRACTICE Measures of Relative Standing (Position) 3 Triola, Essentials of Statistics, Third Edition. Name:_____ Date:_____ AP Statistics Measures of Relative Position 1. Cumulative Relative Frequency Table: Although you may not often use measures such as percentiles and quartiles, these values are used to describe data in some situations, and knowing how to interpret them is beneficial. Key Terms . Measures of Position. Measures of Relative Standing This section introduces measures that can be used to compare values from different data ... L locator that gives the position of a value Measures of relative standing, in the statistical sense, can be defined as measures that can be used to compare values from different data sets, or to compare values within the same data set. Section 3.4 Measures of Relative Standing 1. z-scores 2. percentiles 3. Quartiles and Percentiles. o Range. The common measures of relative standing or location are quartiles and percentiles. got a really high score compared to the rest of the class or, that man is unusually short. distribution of the whole data set. Section 3.3 Measures of Relative Position 1. The common measures of relative standing or location are quartiles and percentiles. About 25% of the