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Chapter 1: Exploring Data
Introduction
Data Analysis: Making Sense of Data
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Chapter 1
Exploring Data
Introduction:
Data Analysis: Making Sense of Data
1.1
Analyzing Categorical Data
1.2
Displaying Quantitative Data with Graphs
1.3
Describing Quantitative Data with Numbers
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Introduction
Data Analysis: Making Sense of Data
Learning Objectives
After this section, you should be able to…
DEFINE “Individuals” and “Variables”
DISTINGUISH between “Categorical” and “Quantitative” variables
DEFINE “Distribution”
DESCRIBE the idea behind “Inference”
Data
Analysis is the process of organizing,
displaying, summarizing, and asking questions
about data.
Definitions:
Individuals – objects (people, animals, things)
described by a set of data
Variable - any characteristic of an individual
Ex) Take survey on students. Ask questions about b-day and GPA
Ex) Research about phones (Samsung, LG, Apple etc). Take info on
model, size, and capacity.
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is the science of data.
Data Analysis
Statistics
Data
Analysis is the process of organizing,
displaying, summarizing, and asking questions
about data.
Definitions:
Individuals – objects (people, animals, things)
described by a set of data
Variable - any characteristic of an individual
Categorical Variable
– places an individual into
one of several groups or
categories.
Quantitative Variable
– takes numerical values for
which it makes sense to find
an average.
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is the science of data.
Data Analysis
Statistics
Definition:
Distribution – tells us what values a variable
takes and how often it takes those values
Example
2009 Fuel Economy Guide
MODEL
2009 Fuel Economy Guide
2009 Fuel Economy Guide
MPG
MPG
MODEL
<new>MODEL
MPG
1
Acura RL
922 Dodge Avenger
1630 Mercedes- Benz E350
24
2
Audi A6 Quattro
1023 Hyundai Elantra
1733 Mercury Milan
29
3
Bentley Arnage
1114 Jaguar XF
1825 Mitsubishi Galant
27
4
BMW 5281
1228 Kia Optima
1932 Nissan Maxima
26
5
Buick Lacrosse
1328 Lexus GS 350
2026 Rolls Royce Phantom
18
6
Cadillac CTS
1425 Lincolon MKZ
2128 Saturn Aura
33
7
Chevrolet Malibu
1533 Mazda 6
2229 Toyota Camry
31
8
Chrysler Sebring
1630 Mercedes-Benz E350
2324 Volkswagen Passat
29
9
Dodge Avenger
1730 Mercury Milan
2429 Volvo S80
Variable of Interest:
MPG
25
<new>
Dotplot of MPG
Distribution
Data Analysis
generally takes on many different values.
In data analysis, we are interested in how often a
variable takes on each value.
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A variable
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Check Your Understanding page 5
Population
Sample
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Data Analysis
From Data Analysis to Inference
Collect data from a
representative Sample...
Make an Inference
about the Population.
Perform Data
Analysis, keeping
probability in mind…
Activity: Hiring Discrimination
Follow the directions on Page 5
Perform 5 repetitions of your simulation.
Turn in your results to your teacher.
Teacher: Right-click (control-click) on the graph to edit the counts.
Class Simulation Data
10
Frequency
8
7
6
4
4
2
1
1
2
8
6
3
1
0
0
1
2
3
4
5
6
7
8
Number of Female Pilots (out of 8)
Data Analysis