The basic arrangement of numeric data is called an ARRAY. Array is the derived data from fundamental data Example :- To store marks of 50 student
|
|
- Homer Clarke
- 5 years ago
- Views:
Transcription
1 Organizing data
2 Learning Outcome 1. make an array 2. divide the array into class intervals 3. describe the characteristics of a table 4. construct a frequency distribution table 5. constructing a composite table
3 Raw data Raw data is set of values recorded in a study or survey. Primary data : Obtained directly from an individual, gives a precise information Secondary data : Obtained from outside source. Ex :- Hospital record, Census Data should be arrange in a meaningful way.
4 Array The basic arrangement of numeric data is called an ARRAY. Array is the derived data from fundamental data Example :- To store marks of 50 student
5 Frequency and Frequency Distribution Table A frequency refers to the number of observations in each category of a variable. A frequency distribution table describes the frequency distribution of a set of measurements. When presenting the frequency distribution in a table format, it becomes a frequency distribution table.
6 For nominal variable sex, Table 2: Frequency distribution table of preschool children attending the child welfare clinic Frequency Percentage Female Male Total
7 Similarly the frequency table can manipulate on Ordinal and Discrete variable also The frequency table can be performed For continuous variable, however the list would be too long. (The reason is that most of them occur only once or sometimes twice) This data need to divide in to segments These segments are called classes or class intervals. The end points of the class intervals are specified as class limits.
8 Example: Heamoglobin values (g/dl) obtained from 35 men at the diabetic clinic (this has been made into an array)
9 Example of class limits: For the class interval of g/dl; the lower limit is 6 and the upper limit is 7.9. For the class interval of g/dl; the lower limit is 8 and the upper limit is 9.9.
10 Dividing the array into class intervals should be done according to the researchers objective or the size of the data. Usually the number of class intervals vary between Too few class intervals would obscure details and lead to loss of information, whereas too many defeat the very purpose of grouping.
11 General rules of class intervals i. The class intervals should not be less than 5 ii. The class limits should not over lap iii.the class intervals should be of equal size
12 As in example 1 the range is from 7.7g/dl to 16.7g/dl. We could divide this data into 6 class intervals as follows: g/dl g/dl g/dl g/dl g/dl g/dl
13 Composite table There are two other frequencies; Relative frequency cumulative frequency Relative frequency: is the number of observations falling into each interval as a fraction of the total number of observations. Relative frequency = Frequency Total frequency Relative frequency can be presented as percentages too. Relative frequency percentage = Frequency 100 Total frequency
14 Cumulative frequency (or percentage): is the fraction (or percentage) of observations that are less than the upper limit of each interval Cumulative frequency = Previous frequency + current frequency
15
16 Data presentation Data can be presented in two ways 1. Tables Can be Simple or Complex depending upon the number of measurements of single set or multiple sets of items. 2. Diagrams or Graphs Graphic presentations used to illustrate and clarify information. Tables are essential in presentation of scientific data and diagrams are complementary to summarize these tables in an easy, attractive and simple way.
17 Characteristics of a table A statistical table has at least five major parts and some other minor parts. The major parts are; 1) A table number 2) The title 3) The column caption 4) The row captions 5) The totals The minor parts are 6) Units of measurements in the rows and columns if appropriate 7) Foots notes 8) Source Notes
18 1)Table Number the number should be continuous with the number of the previous table if not the first. 2) The Title: A title is the main heading shown at the top of the table. It must explain the contents of the table and throw light on the table. Different parts of the heading can be separated by commas but no full stops should be used in the title. 3) The column caption: The vertical heading and subheading of the column are called columns captions. Only the first letter of the first word of the column caption is in capital letters and the remaining words must be written in small letters.
19 4) The row captions: The horizontal headings and sub heading of the row are called row captions. Only the first letter of the first word of the row caption is in capital letters and the remaining words must be written in small letters. 5) The Body: It is the main part of the table which contains the numerical information classified with respect to row and column captions.
20 6) Units of measurement: if appropriate, should be enclosed in brackets which describe the units of the column caption or the row caption. 7) Foot Notes: It appears immediately below the body of the table providing the further additional explanation. 8) Source Notes: The source notes is given at the end of the table indicating the source from when information has been taken. It includes the information about compiling agency, publication etc
21 General Rules of Tabulation: 1. A table should be simple and attractive. There should be no need of further explanations. 2. Suitable approximation may be adopted and figures may be rounded off. 3. The unit of measurement should be well defined. 4. If the table has two variables, the independent variable should be on the columns the dependent variable should be in the row the total should add up to the column variable
22 5) If the table is a composite table the above rule 4 would be changed to the independent variable on the rows the dependent variable on the column the total adds up to the row variable
23 Presenting categorical data graphically Types of diagrams Present categorical data graphically (bar chart, component bar chart, cumulative bar chart, pie diagram)
24 Presenting categorical data graphically The most effective way to present information is by visual display Graphs are frequently use in statistical analyses As a mean of uncovering pattern in a set of data As a mean of conveying the important information concise and accurate fashion
25 Types of categorical data graphs Pictograph Pie chart Bar chart Dot plot
26 Pictograph Pictograph is a way of presenting categorical data using symbolic figures to match the frequencies of different categories of a variable. Every pictograph has a title, label and a legend.
27
28 Advantages of pictograph 1. A pictograph is easy to read. 2. They show trends in data. 3. They are fun to use. 4. Specially useful when data are presented to a large audience in a limited time. Disadvantages of Pictograph 1. It may be difficult to find a suitable symbol or picture to represent the data. 2. The key can be confusing to the reader
29 Pie chart Important to observe the relative sizes of the categories of a single variable Every pie chart has a title, label and a legend to show what each category represents.
30
31
32
33 Disadvantages of Pie chart 1. They are best used for displaying statistical information when there are no more than six to seven categories in a variable otherwise, the resulting picture will be too complex to understand. 2. Actual frequencies need to be converted to percentages. 3. Total frequencies are unknown unless specified. 4. Difficult to compare 2 pie charts of the same variable in different groups. 5. "Other" category, when present, can be a problem in interpretation. 6. Pie charts are not useful when the values of each component are similar because it is difficult to see the differences between slice sizes.
34 Bar Chart and types of bar chart Bar chart is better if individual frequencies are of interest It can be used more than just frequency data Comparison of categories are easier Can also be used to present numeric variables grouped into class intervals. A bar chart may be either horizontal or vertical.
35 Simple bar chart
36
37 Compound bar chart A compound bar graph represents data of two variables of which one should be a categorical variable and the other a categorical or a discrete variable
38
39 Component bar graphs The component bar graph is a preliminary data analysis tool used to show segments of a total. The component bar graph can be very difficult to interpret if there are too many segments in a bar. if the bars are not standardized ( that is if each bar does not add up to 100%)
40
41
42 Dot Plot A dot plot is a type of graphic display used to compare the frequency of categories of a variable. It is made up of dots plotted on a graph. Each dot represents a single observation from a set of data The dots are stacked in columns over categories, so that the height of the column represents the relative or absolute frequency of observations in the category. The pattern of data in a dot plot can be described in terms of symmetry and skewness only if the variable is discrete. Compared to other types of graphic display, dot plots are used most often to plot frequency counts within a small number of categories, usually with small sets of data.
43
44 Numerical variables which belong to either interval or ratio scale can also be presented using frequency distribution and graphs after grouping.
45 Presenting Quantitative data graphically Histogram Frequency polygon Stem and leaf plot Box plot Scatter plot
46 Histogram Histogram is used mainly to summarize continuous data and seldom used for discrete data A pictorial representation of the frequency distribution of a numerical variable
47
48 Characteristics of a Histogram A histogram is made up of columns plotted on a graph. Unlike in a bar chart, there are no spaces between bars in a histogram. A histogram will have bars of equal width, although this is not the case when class intervals vary in size. Values of the variable being studied are presented on the horizontal x-axis. The histogram is used for variables whose values are numerical and measured on an interval/ratio scale. It is generally used when dealing with large data sets (greater than 100 observations). A histogram can also help detect any unusual observations (outliers) or any gaps in the data.
49 Disadvantages Cannot read frequencies of exact values because data is divided into class intervals. Cannot be drawn for two variables together. Use only with continuous data and rarely with discrete data.
50 Difference between Bar Charts and Histograms
51 Frequency Polygon A frequency polygon is a graph drawn by joining the midpoints of histogram column tops. Frequency Polygon is used only when depicting data from a continuous variable.
52
53
54 Stem and leaf plot A stem plot is used to display quantitative data. a stem and leaf plot, does show exact values of individual observations. Advantages Concise representation of data Shows range, minimum & maximum, gaps & clusters, and outliers easily Can handle extremely large data sets Shows the shape of the distribution When observations are limited, can easily construct it manually Disadvantages Not visually appealing When there is a large number of observations it is difficult to manage manually.
55 Box and whisker plot A box plot, sometimes called a box and whisker plot, is a quick graphic approach for examining one or more sets of continuous data. Demonstrate following values The median The upper quartile and lower quartile The maximum and minimum Outliers
56
57 Advantages of Box plot 1. Graphically display a continuous variable s important locations (quartiles, median) and spread at a glance. 2. Provide some indication of the data symmetry and skewness. 3. Unlike many other methods of data display, box plot show outliers. 4. When the box plots are drawn for a certain variable for different categories and placed side by side, it is easy to compare the statistical measures between categories (as shown in the figure above).
58 Disadvantages of Box plot They tend to emphasize the tails of the distribution, which may be the least important points in a data set. They hide some details of a distribution, such as the shape of the distribution, the area under the curve etc.
59 Scatter plot Scatter plot is a two dimensional plot with one of the variable plotted in the horizontal axis (X axis- independent variable) and other with the vertical (Y axis dependent variable) axis. The pattern of the data points on the scatter plot reveals the nature of the relationship between the two variables.
60 positive relationships between variables negative relationships between variables scattered data points (without any relationships) non-linear patterns outliers.
61 Selecting an appropriate graphical was of presenting data
62 Thank You!!!
At the end of the chapter, you will learn to: Present data in textual form. Construct different types of table and graphs
DATA PRESENTATION At the end of the chapter, you will learn to: Present data in textual form Construct different types of table and graphs Identify the characteristics of a good table and graph Identify
More informationSection 2-2 Frequency Distributions. Copyright 2010, 2007, 2004 Pearson Education, Inc
Section 2-2 Frequency Distributions Copyright 2010, 2007, 2004 Pearson Education, Inc. 2.1-1 Frequency Distribution Frequency Distribution (or Frequency Table) It shows how a data set is partitioned among
More informationThis chapter will show how to organize data and then construct appropriate graphs to represent the data in a concise, easy-to-understand form.
CHAPTER 2 Frequency Distributions and Graphs Objectives Organize data using frequency distributions. Represent data in frequency distributions graphically using histograms, frequency polygons, and ogives.
More informationMATH 117 Statistical Methods for Management I Chapter Two
Jubail University College MATH 117 Statistical Methods for Management I Chapter Two There are a wide variety of ways to summarize, organize, and present data: I. Tables 1. Distribution Table (Categorical
More informationFrequency Distributions
Displaying Data Frequency Distributions After collecting data, the first task for a researcher is to organize and summarize the data so that it is possible to get a general overview of the results. Remember,
More informationLecture Slides. Elementary Statistics Twelfth Edition. by Mario F. Triola. and the Triola Statistics Series. Section 2.1- #
Lecture Slides Elementary Statistics Twelfth Edition and the Triola Statistics Series by Mario F. Triola Chapter 2 Summarizing and Graphing Data 2-1 Review and Preview 2-2 Frequency Distributions 2-3 Histograms
More informationChapter 2 Describing, Exploring, and Comparing Data
Slide 1 Chapter 2 Describing, Exploring, and Comparing Data Slide 2 2-1 Overview 2-2 Frequency Distributions 2-3 Visualizing Data 2-4 Measures of Center 2-5 Measures of Variation 2-6 Measures of Relative
More informationMiddle Years Data Analysis Display Methods
Middle Years Data Analysis Display Methods Double Bar Graph A double bar graph is an extension of a single bar graph. Any bar graph involves categories and counts of the number of people or things (frequency)
More informationGraphical Presentation for Statistical Data (Relevant to AAT Examination Paper 4: Business Economics and Financial Mathematics) Introduction
Graphical Presentation for Statistical Data (Relevant to AAT Examination Paper 4: Business Economics and Financial Mathematics) Y O Lam, SCOPE, City University of Hong Kong Introduction The most convenient
More information8 Organizing and Displaying
CHAPTER 8 Organizing and Displaying Data for Comparison Chapter Outline 8.1 BASIC GRAPH TYPES 8.2 DOUBLE LINE GRAPHS 8.3 TWO-SIDED STEM-AND-LEAF PLOTS 8.4 DOUBLE BAR GRAPHS 8.5 DOUBLE BOX-AND-WHISKER PLOTS
More informationOverview. Frequency Distributions. Chapter 2 Summarizing & Graphing Data. Descriptive Statistics. Inferential Statistics. Frequency Distribution
Chapter 2 Summarizing & Graphing Data Slide 1 Overview Descriptive Statistics Slide 2 A) Overview B) Frequency Distributions C) Visualizing Data summarize or describe the important characteristics of a
More informationTable of Contents (As covered from textbook)
Table of Contents (As covered from textbook) Ch 1 Data and Decisions Ch 2 Displaying and Describing Categorical Data Ch 3 Displaying and Describing Quantitative Data Ch 4 Correlation and Linear Regression
More informationMs Nurazrin Jupri. Frequency Distributions
Frequency Distributions Frequency Distributions After collecting data, the first task for a researcher is to organize and simplify the data so that it is possible to get a general overview of the results.
More informationName Date Types of Graphs and Creating Graphs Notes
Name Date Types of Graphs and Creating Graphs Notes Graphs are helpful visual representations of data. Different graphs display data in different ways. Some graphs show individual data, but many do not.
More informationVocabulary. 5-number summary Rule. Area principle. Bar chart. Boxplot. Categorical data condition. Categorical variable.
5-number summary 68-95-99.7 Rule Area principle Bar chart Bimodal Boxplot Case Categorical data Categorical variable Center Changing center and spread Conditional distribution Context Contingency table
More informationOrganisation and Presentation of Data in Medical Research Dr K Saji.MD(Hom)
Organisation and Presentation of Data in Medical Research Dr K Saji.MD(Hom) Any data collected by a research or reference also known as raw data are always in an unorganized form and need to be organized
More information2.1 Objectives. Math Chapter 2. Chapter 2. Variable. Categorical Variable EXPLORING DATA WITH GRAPHS AND NUMERICAL SUMMARIES
EXPLORING DATA WITH GRAPHS AND NUMERICAL SUMMARIES Chapter 2 2.1 Objectives 2.1 What Are the Types of Data? www.managementscientist.org 1. Know the definitions of a. Variable b. Categorical versus quantitative
More informationTabular & Graphical Presentation of data
Tabular & Graphical Presentation of data bjectives: To know how to make frequency distributions and its importance To know different terminology in frequency distribution table To learn different graphs/diagrams
More informationSTP 226 ELEMENTARY STATISTICS NOTES
ELEMENTARY STATISTICS NOTES PART 2 - DESCRIPTIVE STATISTICS CHAPTER 2 ORGANIZING DATA Descriptive Statistics - include methods for organizing and summarizing information clearly and effectively. - classify
More informationDownloaded from
UNIT 2 WHAT IS STATISTICS? Researchers deal with a large amount of data and have to draw dependable conclusions on the basis of data collected for the purpose. Statistics help the researchers in making
More information+ Statistical Methods in
+ Statistical Methods in Practice STA/MTH 3379 + Dr. A. B. W. Manage Associate Professor of Statistics Department of Mathematics & Statistics Sam Houston State University Discovering Statistics 2nd Edition
More informationChapter 2 - Graphical Summaries of Data
Chapter 2 - Graphical Summaries of Data Data recorded in the sequence in which they are collected and before they are processed or ranked are called raw data. Raw data is often difficult to make sense
More informationUnivariate Statistics Summary
Further Maths Univariate Statistics Summary Types of Data Data can be classified as categorical or numerical. Categorical data are observations or records that are arranged according to category. For example:
More informationAND NUMERICAL SUMMARIES. Chapter 2
EXPLORING DATA WITH GRAPHS AND NUMERICAL SUMMARIES Chapter 2 2.1 What Are the Types of Data? 2.1 Objectives www.managementscientist.org 1. Know the definitions of a. Variable b. Categorical versus quantitative
More informationLecture Slides. Elementary Statistics Tenth Edition. by Mario F. Triola. and the Triola Statistics Series. Slide 1
Lecture Slides Elementary Statistics Tenth Edition and the Triola Statistics Series by Mario F. Triola Slide 1 Chapter 2 Summarizing and Graphing Data 2-1 Overview 2-2 Frequency Distributions 2-3 Histograms
More informationAP Statistics Summer Assignment:
AP Statistics Summer Assignment: Read the following and use the information to help answer your summer assignment questions. You will be responsible for knowing all of the information contained in this
More informationTest Bank for Privitera, Statistics for the Behavioral Sciences
1. A simple frequency distribution A) can be used to summarize grouped data B) can be used to summarize ungrouped data C) summarizes the frequency of scores in a given category or range 2. To determine
More informationSelect Cases. Select Cases GRAPHS. The Select Cases command excludes from further. selection criteria. Select Use filter variables
Select Cases GRAPHS The Select Cases command excludes from further analysis all those cases that do not meet specified selection criteria. Select Cases For a subset of the datafile, use Select Cases. In
More informationNOTES TO CONSIDER BEFORE ATTEMPTING EX 1A TYPES OF DATA
NOTES TO CONSIDER BEFORE ATTEMPTING EX 1A TYPES OF DATA Statistics is concerned with scientific methods of collecting, recording, organising, summarising, presenting and analysing data from which future
More information2.1: Frequency Distributions
2.1: Frequency Distributions Frequency Distribution: organization of data into groups called. A: Categorical Frequency Distribution used for and level qualitative data that can be put into categories.
More informationUNIT 15 GRAPHICAL PRESENTATION OF DATA-I
UNIT 15 GRAPHICAL PRESENTATION OF DATA-I Graphical Presentation of Data-I Structure 15.1 Introduction Objectives 15.2 Graphical Presentation 15.3 Types of Graphs Histogram Frequency Polygon Frequency Curve
More informationTMTH 3360 NOTES ON COMMON GRAPHS AND CHARTS
To Describe Data, consider: Symmetry Skewness TMTH 3360 NOTES ON COMMON GRAPHS AND CHARTS Unimodal or bimodal or uniform Extreme values Range of Values and mid-range Most frequently occurring values In
More informationChapter 2. Descriptive Statistics: Organizing, Displaying and Summarizing Data
Chapter 2 Descriptive Statistics: Organizing, Displaying and Summarizing Data Objectives Student should be able to Organize data Tabulate data into frequency/relative frequency tables Display data graphically
More informationPrepare a stem-and-leaf graph for the following data. In your final display, you should arrange the leaves for each stem in increasing order.
Chapter 2 2.1 Descriptive Statistics A stem-and-leaf graph, also called a stemplot, allows for a nice overview of quantitative data without losing information on individual observations. It can be a good
More informationCHAPTER 2. Objectives. Frequency Distributions and Graphs. Basic Vocabulary. Introduction. Organise data using frequency distributions.
CHAPTER 2 Objectives Organise data using frequency distributions. Distributions and Graphs Represent data in frequency distributions graphically using histograms, frequency polygons, and ogives. Represent
More informationChapter 2: Understanding Data Distributions with Tables and Graphs
Test Bank Chapter 2: Understanding Data with Tables and Graphs Multiple Choice 1. Which of the following would best depict nominal level data? a. pie chart b. line graph c. histogram d. polygon Ans: A
More informationStatistical Methods. Instructor: Lingsong Zhang. Any questions, ask me during the office hour, or me, I will answer promptly.
Statistical Methods Instructor: Lingsong Zhang 1 Issues before Class Statistical Methods Lingsong Zhang Office: Math 544 Email: lingsong@purdue.edu Phone: 765-494-7913 Office Hour: Monday 1:00 pm - 2:00
More informationAverages and Variation
Averages and Variation 3 Copyright Cengage Learning. All rights reserved. 3.1-1 Section 3.1 Measures of Central Tendency: Mode, Median, and Mean Copyright Cengage Learning. All rights reserved. 3.1-2 Focus
More informationInteractive Math Glossary Terms and Definitions
Terms and Definitions Absolute Value the magnitude of a number, or the distance from 0 on a real number line Addend any number or quantity being added addend + addend = sum Additive Property of Area the
More informationData can be in the form of numbers, words, measurements, observations or even just descriptions of things.
+ What is Data? Data is a collection of facts. Data can be in the form of numbers, words, measurements, observations or even just descriptions of things. In most cases, data needs to be interpreted and
More informationBar Graphs and Dot Plots
CONDENSED LESSON 1.1 Bar Graphs and Dot Plots In this lesson you will interpret and create a variety of graphs find some summary values for a data set draw conclusions about a data set based on graphs
More informationChapter 1. Looking at Data-Distribution
Chapter 1. Looking at Data-Distribution Statistics is the scientific discipline that provides methods to draw right conclusions: 1)Collecting the data 2)Describing the data 3)Drawing the conclusions Raw
More informationB. Graphing Representation of Data
B Graphing Representation of Data The second way of displaying data is by use of graphs Although such visual aids are even easier to read than tables, they often do not give the same detail It is essential
More information12. A(n) is the number of times an item or number occurs in a data set.
Chapter 15 Vocabulary Practice Match each definition to its corresponding term. a. data b. statistical question c. population d. sample e. data analysis f. parameter g. statistic h. survey i. experiment
More informationChapter 3 - Displaying and Summarizing Quantitative Data
Chapter 3 - Displaying and Summarizing Quantitative Data 3.1 Graphs for Quantitative Data (LABEL GRAPHS) August 25, 2014 Histogram (p. 44) - Graph that uses bars to represent different frequencies or relative
More informationChapter 2: Descriptive Statistics
Chapter 2: Descriptive Statistics Student Learning Outcomes By the end of this chapter, you should be able to: Display data graphically and interpret graphs: stemplots, histograms and boxplots. Recognize,
More information1 Introduction. 1.1 What is Statistics?
1 Introduction 1.1 What is Statistics? MATH1015 Biostatistics Week 1 Statistics is a scientific study of numerical data based on natural phenomena. It is also the science of collecting, organising, interpreting
More informationChapter 2 Organizing and Graphing Data. 2.1 Organizing and Graphing Qualitative Data
Chapter 2 Organizing and Graphing Data 2.1 Organizing and Graphing Qualitative Data 2.2 Organizing and Graphing Quantitative Data 2.3 Stem-and-leaf Displays 2.4 Dotplots 2.1 Organizing and Graphing Qualitative
More informationBar Charts and Frequency Distributions
Bar Charts and Frequency Distributions Use to display the distribution of categorical (nominal or ordinal) variables. For the continuous (numeric) variables, see the page Histograms, Descriptive Stats
More informationWeek 2: Frequency distributions
Types of data Health Sciences M.Sc. Programme Applied Biostatistics Week 2: distributions Data can be summarised to help to reveal information they contain. We do this by calculating numbers from the data
More informationOverview for Families
unit: Picturing Numbers Mathematical strand: Data Analysis and Probability The following pages will help you to understand the mathematics that your child is currently studying as well as the type of problems
More informationGRAPHING BAYOUSIDE CLASSROOM DATA
LUMCON S BAYOUSIDE CLASSROOM GRAPHING BAYOUSIDE CLASSROOM DATA Focus/Overview This activity allows students to answer questions about their environment using data collected during water sampling. Learning
More informationSpecial Review Section. Copyright 2014 Pearson Education, Inc.
Special Review Section SRS-1--1 Special Review Section Chapter 1: The Where, Why, and How of Data Collection Chapter 2: Graphs, Charts, and Tables Describing Your Data Chapter 3: Describing Data Using
More informationYear 9: Long term plan
Year 9: Long term plan Year 9: Long term plan Unit Hours Powerful procedures 7 Round and round 4 How to become an expert equation solver 6 Why scatter? 6 The construction site 7 Thinking proportionally
More informationSTA 570 Spring Lecture 5 Tuesday, Feb 1
STA 570 Spring 2011 Lecture 5 Tuesday, Feb 1 Descriptive Statistics Summarizing Univariate Data o Standard Deviation, Empirical Rule, IQR o Boxplots Summarizing Bivariate Data o Contingency Tables o Row
More informationChapter2 Description of samples and populations. 2.1 Introduction.
Chapter2 Description of samples and populations. 2.1 Introduction. Statistics=science of analyzing data. Information collected (data) is gathered in terms of variables (characteristics of a subject that
More informationSTA Module 2B Organizing Data and Comparing Distributions (Part II)
STA 2023 Module 2B Organizing Data and Comparing Distributions (Part II) Learning Objectives Upon completing this module, you should be able to 1 Explain the purpose of a measure of center 2 Obtain and
More informationSTA Learning Objectives. Learning Objectives (cont.) Module 2B Organizing Data and Comparing Distributions (Part II)
STA 2023 Module 2B Organizing Data and Comparing Distributions (Part II) Learning Objectives Upon completing this module, you should be able to 1 Explain the purpose of a measure of center 2 Obtain and
More informationMath Lesson Plan 6th Grade Curriculum Total Activities: 302
TimeLearning Online Learning for Homeschool and Enrichment www.timelearning.com Languages Arts, Math and more Multimedia s, Interactive Exercises, Printable Worksheets and Assessments Student Paced Learning
More informationChapter 6: DESCRIPTIVE STATISTICS
Chapter 6: DESCRIPTIVE STATISTICS Random Sampling Numerical Summaries Stem-n-Leaf plots Histograms, and Box plots Time Sequence Plots Normal Probability Plots Sections 6-1 to 6-5, and 6-7 Random Sampling
More informationMATH 1070 Introductory Statistics Lecture notes Descriptive Statistics and Graphical Representation
MATH 1070 Introductory Statistics Lecture notes Descriptive Statistics and Graphical Representation Objectives: 1. Learn the meaning of descriptive versus inferential statistics 2. Identify bar graphs,
More informationElementary Statistics
1 Elementary Statistics Introduction Statistics is the collection of methods for planning experiments, obtaining data, and then organizing, summarizing, presenting, analyzing, interpreting, and drawing
More informationMATH1635, Statistics (2)
MATH1635, Statistics (2) Chapter 2 Histograms and Frequency Distributions I. A Histogram is a form of bar graph in which: A. The width of a bar is designated by an interval or ratio data value and thus
More informationChapter 2: Graphical Summaries of Data 2.1 Graphical Summaries for Qualitative Data. Frequency: Frequency distribution:
Chapter 2: Graphical Summaries of Data 2.1 Graphical Summaries for Qualitative Data Frequency: Frequency distribution: Example 2.1 The following are survey results from Fall 2014 Statistics class regarding
More informationChapter 2: Frequency Distributions
Chapter 2: Frequency Distributions Chapter Outline 2.1 Introduction to Frequency Distributions 2.2 Frequency Distribution Tables Obtaining ΣX from a Frequency Distribution Table Proportions and Percentages
More informationRaw Data is data before it has been arranged in a useful manner or analyzed using statistical techniques.
Section 2.1 - Introduction Graphs are commonly used to organize, summarize, and analyze collections of data. Using a graph to visually present a data set makes it easy to comprehend and to describe the
More information1.3 Graphical Summaries of Data
Arkansas Tech University MATH 3513: Applied Statistics I Dr. Marcel B. Finan 1.3 Graphical Summaries of Data In the previous section we discussed numerical summaries of either a sample or a data. In this
More informationSummarising Data. Mark Lunt 09/10/2018. Arthritis Research UK Epidemiology Unit University of Manchester
Summarising Data Mark Lunt Arthritis Research UK Epidemiology Unit University of Manchester 09/10/2018 Summarising Data Today we will consider Different types of data Appropriate ways to summarise these
More informationSection 1.2. Displaying Quantitative Data with Graphs. Mrs. Daniel AP Stats 8/22/2013. Dotplots. How to Make a Dotplot. Mrs. Daniel AP Statistics
Section. Displaying Quantitative Data with Graphs Mrs. Daniel AP Statistics Section. Displaying Quantitative Data with Graphs After this section, you should be able to CONSTRUCT and INTERPRET dotplots,
More informationAcquisition Description Exploration Examination Understanding what data is collected. Characterizing properties of data.
Summary Statistics Acquisition Description Exploration Examination what data is collected Characterizing properties of data. Exploring the data distribution(s). Identifying data quality problems. Selecting
More informationLecture Series on Statistics -HSTC. Frequency Graphs " Dr. Bijaya Bhusan Nanda, Ph. D. (Stat.)
Lecture Series on Statistics -HSTC Frequency Graphs " By Dr. Bijaya Bhusan Nanda, Ph. D. (Stat.) CONTENT Histogram Frequency polygon Smoothed frequency curve Cumulative frequency curve or ogives Learning
More informationData Handling. Moving from A to A* Calculate the numbers to be surveyed for a stratified sample (A)
Moving from A to A* A* median, quartiles and interquartile range from a histogram (A*) Draw histograms from frequency tables with unequal class intervals (A) Calculate the numbers to be surveyed for a
More information2.1: Frequency Distributions and Their Graphs
2.1: Frequency Distributions and Their Graphs Frequency Distribution - way to display data that has many entries - table that shows classes or intervals of data entries and the number of entries in each
More informationCreating a Basic Chart in Excel 2007
Creating a Basic Chart in Excel 2007 A chart is a pictorial representation of the data you enter in a worksheet. Often, a chart can be a more descriptive way of representing your data. As a result, those
More information3 Graphical Displays of Data
3 Graphical Displays of Data Reading: SW Chapter 2, Sections 1-6 Summarizing and Displaying Qualitative Data The data below are from a study of thyroid cancer, using NMTR data. The investigators looked
More information3 Graphical Displays of Data
3 Graphical Displays of Data Reading: SW Chapter 2, Sections 1-6 Summarizing and Displaying Qualitative Data The data below are from a study of thyroid cancer, using NMTR data. The investigators looked
More informationUse of GeoGebra in teaching about central tendency and spread variability
CREAT. MATH. INFORM. 21 (2012), No. 1, 57-64 Online version at http://creative-mathematics.ubm.ro/ Print Edition: ISSN 1584-286X Online Edition: ISSN 1843-441X Use of GeoGebra in teaching about central
More informationChapter Two: Descriptive Methods 1/50
Chapter Two: Descriptive Methods 1/50 2.1 Introduction 2/50 2.1 Introduction We previously said that descriptive statistics is made up of various techniques used to summarize the information contained
More informationSTAT STATISTICAL METHODS. Statistics: The science of using data to make decisions and draw conclusions
STAT 515 --- STATISTICAL METHODS Statistics: The science of using data to make decisions and draw conclusions Two branches: Descriptive Statistics: The collection and presentation (through graphical and
More informationCHAPTER 2 DESCRIPTIVE STATISTICS
CHAPTER 2 DESCRIPTIVE STATISTICS 1. Stem-and-Leaf Graphs, Line Graphs, and Bar Graphs The distribution of data is how the data is spread or distributed over the range of the data values. This is one of
More informationM7D1.a: Formulate questions and collect data from a census of at least 30 objects and from samples of varying sizes.
M7D1.a: Formulate questions and collect data from a census of at least 30 objects and from samples of varying sizes. Population: Census: Biased: Sample: The entire group of objects or individuals considered
More informationMaking Science Graphs and Interpreting Data
Making Science Graphs and Interpreting Data Eye Opener: 5 mins What do you see? What do you think? Look up terms you don t know What do Graphs Tell You? A graph is a way of expressing a relationship between
More informationUnderstanding and Comparing Distributions. Chapter 4
Understanding and Comparing Distributions Chapter 4 Objectives: Boxplot Calculate Outliers Comparing Distributions Timeplot The Big Picture We can answer much more interesting questions about variables
More informationDecimals should be spoken digit by digit eg 0.34 is Zero (or nought) point three four (NOT thirty four).
Numeracy Essentials Section 1 Number Skills Reading and writing numbers All numbers should be written correctly. Most pupils are able to read, write and say numbers up to a thousand, but often have difficulty
More informationChapter 5. Understanding and Comparing Distributions. Copyright 2012, 2008, 2005 Pearson Education, Inc.
Chapter 5 Understanding and Comparing Distributions The Big Picture We can answer much more interesting questions about variables when we compare distributions for different groups. Below is a histogram
More informationUsing a percent or a letter grade allows us a very easy way to analyze our performance. Not a big deal, just something we do regularly.
GRAPHING We have used statistics all our lives, what we intend to do now is formalize that knowledge. Statistics can best be defined as a collection and analysis of numerical information. Often times we
More informationTo make sense of data, you can start by answering the following questions:
Taken from the Introductory Biology 1, 181 lab manual, Biological Sciences, Copyright NCSU (with appreciation to Dr. Miriam Ferzli--author of this appendix of the lab manual). Appendix : Understanding
More informationMAT104: Fundamentals of Mathematics II Final Exam Study Guide. Terminology
MAT104: Fundamentals of Mathematics II Final Exam Study Guide Terminology Chapter 6: Rational Numbers and Proportional Reasoning Ratio Proportion Chapter 7: Decimals: Rational Numbers and Percent Terminating
More informationPart I, Chapters 4 & 5. Data Tables and Data Analysis Statistics and Figures
Part I, Chapters 4 & 5 Data Tables and Data Analysis Statistics and Figures Descriptive Statistics 1 Are data points clumped? (order variable / exp. variable) Concentrated around one value? Concentrated
More informationappstats6.notebook September 27, 2016
Chapter 6 The Standard Deviation as a Ruler and the Normal Model Objectives: 1.Students will calculate and interpret z scores. 2.Students will compare/contrast values from different distributions using
More informationStatistics can best be defined as a collection and analysis of numerical information.
Statistical Graphs There are many ways to organize data pictorially using statistical graphs. There are line graphs, stem and leaf plots, frequency tables, histograms, bar graphs, pictographs, circle graphs
More informationLesson 18-1 Lesson Lesson 18-1 Lesson Lesson 18-2 Lesson 18-2
Topic 18 Set A Words survey data Topic 18 Set A Words Lesson 18-1 Lesson 18-1 sample line plot Lesson 18-1 Lesson 18-1 frequency table bar graph Lesson 18-2 Lesson 18-2 Instead of making 2-sided copies
More informationStatistics Lecture 6. Looking at data one variable
Statistics 111 - Lecture 6 Looking at data one variable Chapter 1.1 Moore, McCabe and Craig Probability vs. Statistics Probability 1. We know the distribution of the random variable (Normal, Binomial)
More information28 CHAPTER 2 Summarizing and Graphing Data
8 CHAPTER Summarizing and Graphing Data. The two requested histograms are given below. They give very different visual images of the shape of the distribution. An outlier can have a significant effect
More informationVocabulary: Data Distributions
Vocabulary: Data Distributions Concept Two Types of Data. I. Categorical data: is data that has been collected and recorded about some non-numerical attribute. For example: color is an attribute or variable
More informationBrief Guide on Using SPSS 10.0
Brief Guide on Using SPSS 10.0 (Use student data, 22 cases, studentp.dat in Dr. Chang s Data Directory Page) (Page address: http://www.cis.ysu.edu/~chang/stat/) I. Processing File and Data To open a new
More informationLAB 1 INSTRUCTIONS DESCRIBING AND DISPLAYING DATA
LAB 1 INSTRUCTIONS DESCRIBING AND DISPLAYING DATA This lab will assist you in learning how to summarize and display categorical and quantitative data in StatCrunch. In particular, you will learn how to
More informationTopic (3) SUMMARIZING DATA - TABLES AND GRAPHICS
Topic (3) SUMMARIZING DATA - TABLES AND GRAPHICS 3- Topic (3) SUMMARIZING DATA - TABLES AND GRAPHICS A) Frequency Distributions For Samples Defn: A FREQUENCY DISTRIBUTION is a tabular or graphical display
More informationFrequency Distributions and Graphs
//05 C H A P T E R T W O s and s and Outline CHAPTER - Organizing Data - Histograms, Polygons, and - Other Types of -4 Paired Data and Scatter Plots Learning Objectives Organize data using a frequency
More informationStatistical Tables and Graphs
Unit 5C Statistical Tables and Graphs Ms. Young Slide 5-1 Frequency Tables A basic frequency table has two columns: The first column lists the categories of data. The second column lists the frequency
More information