Measures of location: The Mode and Modal Class

Slides:

Advertisements

Similar presentations

Histograms Bins are the bars Counts are the heights Relative Frequency Histograms have percents on vertical axis.

Advertisements

Chapter 4: Central Tendency How do we quantify the ‘middle’ of a distribution of numbers? Three ways: The mode, median and the mean Mode (Mo): The score.

Section 2.1 Visualizing Distributions: Shape, Center and Spread.

Lecture 2 Describing Data II ©. Summarizing and Describing Data Frequency distribution and the shape of the distribution Frequency distribution and the.

A.P. Psychology Statistics Notes. Correlation  The way 2 factors vary together and how well one predicts the other  Positive Correlation- direct relationship.

4-1 Chapter Four McGraw-Hill/Irwin © 2006 The McGraw-Hill Companies, Inc., All Rights Reserved. Describing Data: Displaying and Exploring Data.

Chapter 5: Averaging Jon Curwin and Roger Slater, QUANTITATIVE METHODS: A SHORT COURSE ISBN © Thomson Learning 2004 Jon Curwin and Roger.

Lecture 09 Dr. MUMTAZ AHMED MTH 161: Introduction To Statistics.

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

The Data Analysis Plan. The Overall Data Analysis Plan Purpose: To tell a story. To construct a coherent narrative that explains findings, argues against.

SP 225 Lecture 7 Measures of Center. Using the Sigma Notation.

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

Statistics Workshop Tutorial 3

Mean, Median, Mode Review ENGR 1181 Class 7. Mean.

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

Univariate Data Chapters 1-6. UNIVARIATE DATA Categorical Data Percentages Frequency Distribution, Contingency Table, Relative Frequency Bar Charts (Always.

McGraw-Hill/IrwinCopyright © 2009 by The McGraw-Hill Companies, Inc. All Rights Reserved. Chapter 3 Descriptive Statistics: Numerical Methods.

Chapter 4 – 1 Chapter 4: Measures of Central Tendency What is a measure of central tendency? Measures of Central Tendency –Mode –Median –Mean Shape of.

Data Analysis: Measures of Central Tendency Objective: To find and interpret the mean, median, and mode of a set of data. Open books to page 711.

Basic Tools For Economic Analysis Cont’d.

Collecting Data Name Number of Siblings Preferred Football Team Star Sign Hand Span.

MEASURES OF CENTRAL TENDENCY. THE MEAN - x x = sum of data number of data - Ex: 1,5,10,15,25 - x = x = x = 11.2.

2.3 Measures of Central Tendency. I. Mean, Median, and Mode O Measure of Central Tendency: a value that represents a typical, or central, entry of a data.

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

 Two basic types Descriptive  Describes the nature and properties of the data  Helps to organize and summarize information Inferential  Used in testing.

Central Tendency. Variables have distributions A variable is something that changes or has different values (e.g., anger). A distribution is a collection.

1 Review Sections 2.1, 2.2, 1.3, 1.4, 1.5, 1.6 in text.

Copyright © 2013, 2009, and 2007, Pearson Education, Inc. Chapter 2 Exploring Data with Graphs and Numerical Summaries Section 2.3 Measuring the Center.

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

By the end of this lesson you will be able to explain/calculate the following: 1. Mean for data in frequency table 2. Mode for data in frequency table.

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

S urvey Question #1: How many pairs of shoes do you own? S urvey Question #2: How many times a month do you go to the mall? Name Class Period Date.

Handling Data: AVERAGES

2.3 Measures of Central Tendency Coach Bridges NOTES.

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.

Sec. 2.3 Measures of Central Tendency Mr. Ricks Madison High School.

CHAPTER 3 – Numerical Techniques for Describing Data 3.1 Measures of Central Tendency 3.2 Measures of Variability.

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

Distributions: The nature or shape of the data within its range.

Mean, Median and Mode Quartiles and Standard Deviation

Describing Distributions

Ticket in the Door Find the mean, median and mode of the data.

Slides to accompany Weathington, Cunningham & Pittenger (2010), Statistics Review (Appendix A) Bring all three text books Bring index cards Chalk? White-board.

Descriptive Statistics

Statistics and Probability

Chapter 3: Averages and Variation

Measures of Central Tendency

Section 2.4 notes continued

Non-Normal Data Distributions

Does the distribution have one or more peaks (modes) or is it unimodal? Is the distribution approximately symmetric or is it skewed.

Normal and Skewed distributions

Measure of Central Tendency

Making Sense of Measures of Center Investigation 2

Key statistical concepts.

Unit 2: Descriptive Statistics

6.5 – Measures of Central Tendency for Discrete and Continuous Data

CENTRAL MOMENTS, SKEWNESS AND KURTOSIS

Vocabulary for Feb. 20-Mar

temperature in a sorted list of 15 daily temperatures is 10°F

MCC6.SP.5c, MCC9-12.S.ID.1, MCC9-12.S.1D.2 and MCC9-12.S.ID.3

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

Modes and Modal Classes

Describing Distribution

13F – skewness.

Measures of Central Tendency for Ungrouped Data

MEASURES OF CENTRAL TENDENCY

Introductory Statistics: Exploring the World through Data, 1e

MEASURES OF CENTRAL TENDENCY

 Measures of central tendency  Measures of central tendency are a combination of two words i.e. ‘measure’ and ‘Central tendency’. Measure means methods.

Presentation transcript:

Measures of location: The Mode and Modal Class The mode is the most frequently occurring value in a set of data. Alternatively, if the data have been grouped as in a modal class, you can only estimate the mode. Usually, the stating boundaries of the modal class is sufficient. The modal class for a grouped frequency distribution is the class with the highest frequency density.

The median is preferable to the mean when there are outliers. Comparison of the mean, median and mode. The median is preferable to the mean when there are outliers. If there are outliers, the mean causes the frequency distribution to be skewed. See page 33 of your text book. A distribution which has a tail of low values on the left, will have a mean which is less than the median. Conversely, a tail of high values on the left, will have a mean that is greater than the median.

Now do Exercise 2C. 