Visual Description Dot Plots Frequency Distributions and Histograms Line Charts Bar Charts McGraw-Hill/Irwin 3 Chapter Describing Data Visually Scatter Plots Tables Pie Charts Descriptive Graphs Copyright © 2010 by The McGraw-Hill Companies, Inc. All rights reserved. Visual Description • Methods of organizing, exploring and summarizing data include: - Visual (charts and graphs) provides insight into characteristics of a data set without using mathematics. - Numerical (statistics or tables) provides insight into characteristics of a data set using mathematics. 3-2 Dot Plots Comparing Groups • A stacked dot plot compares two or more groups using a common X-axis scale. 3-3 Frequency Distributions and Histograms A frequency distribution is a table formed by classifying n data values into k classes (bins). 3-4 Frequency Distributions and Histograms Histograms • A histogram is a graphical representation of a frequency distribution. Y-axis shows frequency within each bin. • A histogram is a bar chart. X-axis ticks shows end points of each bin. 3-5 Frequency Distributions and Histograms 3-6 Frequency Polygon and Ogive 3-7 Line Charts Simple Line Charts • Two-scale line chart – used to compare variables that differ in magnitude or are measured in different units. A line graph usually has no vertical grid lines. Horizontal lines can be added to make it easier to establish the y value. 3-8 Line Charts Log Scales • Log scale is only suited for positive data values. • Reveals whether the quantity is growing at an increasing percent (concave upward), constant percent (straight line), or declining percent (concave downward) 3-9 Bar Charts Plain Bar Charts • Most common way to display attribute data. - Bars represent categories or attributes. - Lengths of bars represent frequencies. Vertical Bar Chart Horizontal Bar Chart 3-10 Bar Charts Pareto Charts • Special type of bar chart used in quality management to display the frequency of defects or errors of different types. • Categories are displayed in descending order of frequency. • Focus on significant few (i.e., few categories that account for most defects or errors). 3-11 Scatter Plots • Scatter plots can convey patterns in data pairs that would not be apparent from a table. 3-12 Tables • Tables are the simplest form of data display. • A compound table is a table that contains time series data down the columns and variables across the rows. 3-13 Pie Charts Pie Chart Options • Exploded and 3-D pie charts add strong visual impact but slices are hard to assess. Exploded Pie Chart Exploded 3-D Pie Chart 3-14 Effective EXCEL Charts • Effective visual displays help you get your point across and persuade others to listen to your point of view. • Powerful graphics stands out in reports which helps in better decision making. • Excel is widely used primarily because of its excellent graphics capabilities. • Excel offers a vast array of charts. • You need to experiment in creating graphs with Excel to get familiar with its features and how you can create effective graphs. 3-15 Deceptive Graphs • • • • • • • • • • • • • Error 1: Error 2: Error 3: Error 4: Error 5: Error 6: Error 7: Error 8: Nonzero Origin Elastic Graph Proportions Dramatic Title Distracting Pictures Authority Figures 3-D and Rotated Graphs Missing Axis Demarcations Missing Measurement Units or Definitions Error 9: Vague Source Error 10: Complex Graphs Error 11: Gratuitous Effects Error 12: Estimated Data Error 13: Area Trick 3-16