Unit 3 Sections 3-2 – Day 2. 3-2: Properties and Uses of Central Tendency The Mean  One computes the mean by using all the values of the data.  The.

Slides:

Advertisements

Similar presentations

Data Description Chapter 3.

Advertisements

1 Chapter 2. Section 2-4. Triola, Elementary Statistics, Eighth Edition. Copyright Addison Wesley Longman M ARIO F. T RIOLA E IGHTH E DITION E LEMENTARY.

LECTURE 7 THURSDAY, 11 FEBRUARY STA291 Fall 2008.

Learning Goal: To be able to describe the general shape of a distribution in terms of its number of modes, skewness, and variation. 4.2 Shapes of Distributions.

Slide Slide 1 Copyright © 2007 Pearson Education, Inc Publishing as Pearson Addison-Wesley. Created by Tom Wegleitner, Centreville, Virginia Section 3-1.

Intro to Descriptive Statistics

Coefficient of Variation

Copyright © 2010, 2007, 2004 Pearson Education, Inc. Lecture Slides Elementary Statistics Eleventh Edition and the Triola Statistics Series by.

Homework Questions. Quiz! Shhh…. Once you are finished you can work on the warm- up (grab a handout)!

Chapter 11 Data Descriptions and Probability Distributions

Measures of Central Tendency Section 2.3 Statistics Mrs. Spitz Fall 2008.

1 Measures of Central Tendency Greg C Elvers, Ph.D.

Chapter 3 Measures of Central Tendency. 3.1 Defining Central Tendency Central tendency Purpose:

Chapter 3 Data Description 1 McGraw-Hill, Bluman, 7 th ed, Chapter 3.

Numerical Measures of Central Tendency. Central Tendency Measures of central tendency are used to display the idea of centralness for a data set. Most.

Chapter 3 Descriptive Measures

Central Tendency.

Measurements of Central Tendency. Statistics vs Parameters Statistic: A characteristic or measure obtained by using the data values from a sample. Parameter:

Barnett/Ziegler/Byleen Finite Mathematics 11e1 Learning Objectives for Section 11.2 Measures of Central Tendency The student will be able to calculate.

Statistics Workshop Tutorial 3

Chapter 3 Statistics for Describing, Exploring, and Comparing Data

Copyright © 2010, 2007, 2004 Pearson Education, Inc. All Rights Reserved. Created by Tom Wegleitner, Centreville, Virginia Section 3-1 Review and.

Measures of Central Tendency or Measures of Location or Measures of Averages.

© Copyright McGraw-Hill CHAPTER 3 Data Description.

Bluman, Chapter 31 Class Limits Frequency

Modified by ARQ, from © 2002 Prentice-Hall.Chap 3-1 Numerical Descriptive Measures Chapter %20ppts/c3.ppt.

Describing Behavior Chapter 4. Data Analysis Two basic types  Descriptive Summarizes and describes the nature and properties of the data  Inferential.

Chapter 12, Part 2 STA 291 Summer I Mean and Standard Deviation The five-number summary is not the most common way to describe a distribution numerically.

Central Tendency Introduction to Statistics Chapter 3 Sep 1, 2009 Class #3.

Created by Tom Wegleitner, Centreville, Virginia Section 2-4 Measures of Center.

Probabilistic & Statistical Techniques Eng. Tamer Eshtawi First Semester Eng. Tamer Eshtawi First Semester

Lecture 5 Dustin Lueker. 2 Mode - Most frequent value. Notation: Subscripted variables n = # of units in the sample N = # of units in the population x.

INVESTIGATION 1.

Statistics Numerical Representation of Data Part 1 – Measures of Central Tendency.

© Copyright McGraw-Hill CHAPTER 3 Data Description.

Descriptive Statistics The goal of descriptive statistics is to summarize a collection of data in a clear and understandable way.

LECTURE CENTRAL TENDENCIES & DISPERSION POSTGRADUATE METHODOLOGY COURSE.

Statistics for Psychology!

MEAN The average of the data set. Population: Sample:

1 Descriptive Statistics 2-1 Overview 2-2 Summarizing Data with Frequency Tables 2-3 Pictures of Data 2-4 Measures of Center 2-5 Measures of Variation.

Central Tendency & Dispersion

Semester 2: Lecture 3 Quantitative Data Analysis: Univariate Analysis II Prepared by: Dr. Lloyd Waller ©

2.3 Measures of Central Tendency measure of central tendency - mean - population mean:sample mean: median - mode -

1 M ARIO F. T RIOLA E IGHTH E DITION E LEMENTARY S TATISTICS Section 2-4 Measures of Center.

Summary Statistics: Measures of Location and Dispersion.

Chapter 3 Data Description Section 3-2 Measures of Central Tendency.

Copyright © 2010, 2007, 2004 Pearson Education, Inc. Lecture Slides Elementary Statistics Eleventh Edition and the Triola Statistics Series by.

Symbol Description It would be a good idea now to start looking at the symbols which will be part of your study of statistics.  The uppercase Greek letter.

Lecture 5 Dustin Lueker. 2 Mode - Most frequent value. Notation: Subscripted variables n = # of units in the sample N = # of units in the population x.

Chapter 4 Measures of Central Tendency. 2 Central Tendency Major Points Measures of central tendency summarize the average level or magnitude of a set.

LIS 570 Summarising and presenting data - Univariate analysis.

2.3 Measures of Central Tendency Coach Bridges NOTES.

1 STAT 500 – Statistics for Managers STAT 500 Statistics for Managers.

Data Description Chapter 3. The Focus of Chapter 3  Chapter 2 showed you how to organize and present data.  Chapter 3 will show you how to summarize.

Chapter 3 – Data Description Section 3.1 – Measures of Central Tendency.

Descriptive Statistics: Measures of Central Tendency Donnelly, 2 nd edition Chapter 3.

Data Description Note: This PowerPoint is only a summary and your main source should be the book. Instructor: Alaa saud.

© 1999 Prentice-Hall, Inc. Chap Measures of Central Location Mean, Median, Mode Measures of Variation Range, Variance and Standard Deviation Measures.

Slide 1 Copyright © 2004 Pearson Education, Inc.  Descriptive Statistics summarize or describe the important characteristics of a known set of population.

Data Description Note: This PowerPoint is only a summary and your main source should be the book. Instructor: Alaa saud.

McGraw-Hill, Bluman, 7th ed, Chapter 3

Chapter 3 Measures Of Central Tendency

CHAPTER 3 Data Description 9/17/2018 Kasturiarachi.

Chapter 3: Averages and Variation

STA 291 Spring 2008 Lecture 5 Dustin Lueker.

STA 291 Spring 2008 Lecture 5 Dustin Lueker.

Unit 6A Characterizing Data Ms. Young.

Measure of Central Tendency

Mean, Median, Mode The Mean is the simple average of the data values. Most appropriate for symmetric data. The Median is the middle value. It’s best.

Making Sense of Measures of Center Investigation 2

Presentation transcript:

Unit 3 Sections 3-2 – Day 2

3-2: Properties and Uses of Central Tendency The Mean  One computes the mean by using all the values of the data.  The mean varies less than the median or mode when samples are taken from the same population and all three measures are computed for these samples.  The mean is used in computing other statistics, such as variance.  The mean for the data set is unique for the data in the frequency distribution that has an open-ended class.  The mean is affected by extremely high or low values, called outliers, and may not be the appropriate average in theses situations.

The Median  The median is used when one must find the center or the middle value of a data set.  The median is used when one must determine whether the data values fall into the upper half or lower half of the distribution.  The median is used for an open-ended distribution.  The median is affected less than the mean by extremely high or extremely low values. Section 3-2

The Mode  The mode is used when the most typical case is desired.  The mode is the easiest average to compute.  The mode can be used when the data is nominal, such as religious preference, gender, or political affiliation.  The mode is not always unique. A data set can have more than one mode, or the mode may not exist for a data set.

Section 3-2 The Midrange  The midrange is easy to compute.  The midrange gives the midpoint.  The midrange is affected by extremely high or extremely low data values in a set.

Distribution Shapes Section 3-2  Frequency distributions can assume many shapes.  The three most important distribution shapes are:  Positively Skewed (Right-Skewed)  Negatively Skewed (Left-Skewed)  Symmetric

Section 3-2 Positively Skewed Distribution Means that a majority of the data falls to the left of the mean. The mean is to the right of the median. The median is to the right of the mode.

Symmetric Distribution Section 3-2 Data values are evenly distributed on both sides of the mean. When the distribution is unimodal, the mean, median, and mode are the same.

Negatively Skewed Distribution Section 3-2 Means that a majority of the data falls to the right of the mean. The mean is to the left of the median. The mode is to the right of the median.

Homework Section 3-2  Pg  15, 18, 30-33, 36-38