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Statistical Analysis for Business & Economics: Summer 2010 Statistical Analysis for Business & Economics: Spring 2011 Information contained in data is valuable A survey asks students to identify which laptop brand they have purchased. The responses are 1. HP 2. Toshiba 3. Apple 4. Dell 5. Other 3 Statistical Analysis for Business & Economics: Spring 2016 Response Visualize it!
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Statistical Analysis for Business & Economics: Summer 2010 Statistical Analysis for Business & Economics: Spring 2011
STATISTICAL ANALYSIS FOR BUS & ECON
Chapter 2: Tables and Graphs
E370 Spring 2016
Statistical Analysis for Business & Economics: Summer 2010 Statistical Analysis for Business & Economics: Spring 20112
Objectives
•Be able to distinguish different kinds and types of data•Be able to choose the best graphical presentations for different kinds of data•Be able to use Excel to draw them
Statistical Analysis for Business & Economics: Spring 2016
Statistical Analysis for Business & Economics: Summer 2010 Statistical Analysis for Business & Economics: Spring 20113
Information contained in data is valuable
A survey asks students to identify which laptop brand they have purchased. The responses are1. HP2. Toshiba3. Apple4. Dell5. Other
Statistical Analysis for Business & Economics: Spring 2016
Response3343543453345254234433342
Visualize it!
Statistical Analysis for Business & Economics: Summer 2010 Statistical Analysis for Business & Economics: Spring 2011
Data Data Types Appropriate Graphs
Numerical
Discrete (e.g. number of kids)Continuous (e.g. Length of a song)
Histogram(no gaps between columns)
Frequency Polygon
Ogive (cumulative frequencies)
Categorical
Nominal (e.g. eyes color: blue/black/brown)Ordinal (e.g. Restaurant rankings: very good/good/fine/bad)
Pie ChartColumn/Bar chartPareto Diagram (has the order)
Theory
Statistical Analysis for Business & Economics: Spring 2016
Statistical Analysis for Business & Economics: Summer 2010 Statistical Analysis for Business & Economics: Spring 2011
Graphical Techniques for Numerical Data
Statistical Analysis for Business & Economics: Spring 2016
• Decide the number of classes.• Decide the class intervals and set class
limits• Enter the bin range (right open
intervals)• Close the column gaps.
Statistical Analysis for Business & Economics: Summer 2010 Statistical Analysis for Business & Economics: Spring 2011
Graphical Techniques for Numerical Data
Statistical Analysis for Business & Economics: Spring 2016
• A line version of the histogram• Plotted using class midpoints• Best way to represent several variables on
the same axes.• The look of the data is easily influenced by
the classes selected. That is, it shares the same problems as histogram
Statistical Analysis for Business & Economics: Summer 2010 Statistical Analysis for Business & Economics: Spring 2011
Graphical Techniques for Numerical Data
Statistical Analysis for Business & Economics: Spring 2016
• A line version of cumulative frequencies• Plotted using upper class limits and
frequencies • Non-decreasing graph, always begins at
(0,0)
Statistical Analysis for Business & Economics: Summer 2010 Statistical Analysis for Business & Economics: Spring 2011
Graphical Techniques for Categorical Data
8
HP16%
Dell32%Mac
38%
Sony10%
other4%
Pie chart for PC Purchase by Brand
HPDellMacSonyother
Statistical Analysis for Business & Economics: Spring 2016
• Good for relative comparisons among categories.• If there is a large number of categories or frequencies
are small, it may not be informative.
Statistical Analysis for Business & Economics: Summer 2010 Statistical Analysis for Business & Economics: Spring 2011
Graphical Techniques for Categorical Data
9
HP
Dell
Mac
Sony
other
0 2 4 6 8 10 12 14 16 18 20
Bar chart for PC Purchase by Brand
Frequency
Statistical Analysis for Business & Economics: Spring 2016
• Bar chart is also used for relative comparisons among categories.
• It is useful when there is a large number of categories or frequencies are small.
Statistical Analysis for Business & Economics: Summer 2010 Statistical Analysis for Business & Economics: Spring 2011
Graphical Techniques for Categorical Data
10Statistical Analysis for Business & Economics: Spring 2016
R Ctr R Door RB Post R Rdr R Fender
L Ctr RA Post
LA Post L Door Roof Other0123
456789
Pareto Diagram
• Only useful on non-numerical data.• If there are lots of categories, it rapidly pinpoints the
important groups.• Designed to separate the important few from the
trivial many
Statistical Analysis for Business & Economics: Summer 2010 Statistical Analysis for Business & Economics: Spring 2011
If you are doing a presentation to Apple
Statistical Analysis for Business & Economics: Spring 2016
What graph to include? What information to highlight?
Apple Dell Other Toshiba HP0
5
10
15
20
25
Pareto Diagram
1. HP 2. Toshiba 3. Apple 4. Dell 5. Other0
5
10
15
20
Column Chart1. HP
2. Toshiba
3. Apple
4. Dell
5. Other
Pie Chart
1. HP
2. Toshiba
3. Apple
4. Dell
5. Other
0 5 10 15 20 25 30
Bar Chart