Copyright © 2011 by The McGraw-Hill Companies, Inc. All rights reserved. McGraw-Hill/Irwin Chapter 2 Descriptive Statistics: Tabular and Graphical Methods.

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Copyright © 2011 by The McGraw-Hill Companies, Inc. All rights reserved. McGraw-Hill/Irwin Chapter 2 Descriptive Statistics: Tabular and Graphical Methods

2-2 Descriptive Statistics 2.1Graphically Summarizing Qualitative Data 2.2Graphically Summarizing Quantitative Data 2.3Dot Plots 2.4Stem-and-Leaf Displays 2.5Crosstabulation Tables (Optional) 2.6Scatter Plots (Optional) 2.7Misleading Graphs and Charts (Optional)

Graphically Summarizing Qualitative Data With qualitative data, names identify the different categories This data can be summarized using a frequency distribution Frequency distribution: A table that summarizes the number of items in each of several non-overlapping classes LO 1: Summarize qualitative data by using frequency distributions, bar charts, and pie charts.

2-4 Relative Frequency and Percent Frequency Relative frequency summarizes the proportion of items in each class For each class, divide the frequency of the class by the total number of observations Multiply times 100 to obtain the percent frequency LO1

2-5 Excel Bar and Pie Chart of the Jeep Sales Data LO1

2-6 Excel Frequency Table and Pareto Chart of Labeling Defects LO2: Construct and interpret Pareto charts.

Graphically Summarizing Qualitative Data Often need to summarize and describe the shape of the distribution One way is to group the measurements into classes of a frequency distribution and then displaying the data in the form of a histogram LO3 Summarize quantitative data by using frequency distributions, histograms, frequency polygons, and ogives.

2-8 Frequency Distribution A frequency distribution is a list of data classes with the count of values that belong to each class “Classify and count” The frequency distribution is a table Show the frequency distribution in a histogram The histogram is a picture of the frequency distribution LO3

2-9 Histograms and Frequency Polygons LO3

2-10 Ogive Ogive: A graph of a cumulative distribution Plot a point above each upper class boundary at height of cumulative frequency Connect points with line segments Can also be drawn using Cumulative relative frequencies Cumulative percent frequencies LO3

Dot Plots LO4 Construct and interpret dot plots.

Stem-and-Leaf Displays Purpose is to see the overall pattern of the data, by grouping the data into classes the variation from class to class the amount of data in each class the distribution of the data within each class Best for small to moderately sized data distributions LO5 Construct and interpret stem-and- leaf displays.

Crosstabulation Tables (Optional) Classifies data on two dimensions Rows classify according to one dimension Columns classify according to a second dimension Requires three variable 1. The row variable 2. The column variable 3. The variable counted in the cells LO6 Examine the relationships between variables by using crosstabulation tables. (Optional)

Scatter Plots (Optional) Used to study relationships between two variables Place one variable on the x-axis Place a second variable on the y-axis Place dot on pair coordinates LO7 Examine the relationships between variables by using scatter plots (Optional).

Misleading Graphs and Charts: (Optional) Mean Salaries at a Major University, Break the vertical scale to exaggerate effect LO8 Recognize misleading graphs and charts (optional). Compress vs. stretch the horizontal scales to exaggerate or minimize the effect