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Transcript of Data types and representation Two types of data: Observations are a finite, countable, number of...
![Page 1: Data types and representation Two types of data: Observations are a finite, countable, number of values Observations are a finite, countable, number of.](https://reader036.fdocuments.net/reader036/viewer/2022072014/56649eb35503460f94bbb69f/html5/thumbnails/1.jpg)
Data types and representationData types and representation
Two types of data:
Observations are a finite, countable,
number of values
Observations are a finite, countable,
number of values
Discrete
Observations can take on any
number of the countless number
of values in
an interval
Continuous
eg. Number of “sixes” after 3 throws of the dice
eg. The average IQ of ten random Heads of Department
![Page 2: Data types and representation Two types of data: Observations are a finite, countable, number of values Observations are a finite, countable, number of.](https://reader036.fdocuments.net/reader036/viewer/2022072014/56649eb35503460f94bbb69f/html5/thumbnails/2.jpg)
Data types and representationData types and representation
Types of measurementsNominal
Objects are named and assigned to classes
eg. male or female
Ordinal
Objects are either greater, or smaller than, a comparative object
eg. finishing positions in a race
Ratio level
Basic standard interval exists + meaningful zero
eg. mass
Interval level
Basic standard interval is introduced, but no true zero
eg. temperature in celsius
![Page 3: Data types and representation Two types of data: Observations are a finite, countable, number of values Observations are a finite, countable, number of.](https://reader036.fdocuments.net/reader036/viewer/2022072014/56649eb35503460f94bbb69f/html5/thumbnails/3.jpg)
Data types and representationData types and representation
Summarising
discrete data:
Name Eye ColourJanice brown
Tom blue
Danielle green
Ian brown
Eduardo brown
Emily brown
Anja blue
Cara brown
Adrian brown
Eric blue
Sarah brown
David brown
![Page 4: Data types and representation Two types of data: Observations are a finite, countable, number of values Observations are a finite, countable, number of.](https://reader036.fdocuments.net/reader036/viewer/2022072014/56649eb35503460f94bbb69f/html5/thumbnails/4.jpg)
Data types and representationData types and representation
Summarising
discrete data:Frequency tables
Eye Colour Frequency
Brown
Blue
Green
33
14
3
![Page 5: Data types and representation Two types of data: Observations are a finite, countable, number of values Observations are a finite, countable, number of.](https://reader036.fdocuments.net/reader036/viewer/2022072014/56649eb35503460f94bbb69f/html5/thumbnails/5.jpg)
Data types and representationData types and representation
Summarising
discrete data:
Eye Colour FrequencyRelative Frequency
Brown
Blue
Green
33
14
3
66%
28%
6%
Frequency tables
![Page 6: Data types and representation Two types of data: Observations are a finite, countable, number of values Observations are a finite, countable, number of.](https://reader036.fdocuments.net/reader036/viewer/2022072014/56649eb35503460f94bbb69f/html5/thumbnails/6.jpg)
Data types and representationData types and representation
Summarising
discrete data:
Frequency bar graph
![Page 7: Data types and representation Two types of data: Observations are a finite, countable, number of values Observations are a finite, countable, number of.](https://reader036.fdocuments.net/reader036/viewer/2022072014/56649eb35503460f94bbb69f/html5/thumbnails/7.jpg)
Data types and representationData types and representation
Summarising
discrete data:
Relative frequency bar
graph
![Page 8: Data types and representation Two types of data: Observations are a finite, countable, number of values Observations are a finite, countable, number of.](https://reader036.fdocuments.net/reader036/viewer/2022072014/56649eb35503460f94bbb69f/html5/thumbnails/8.jpg)
Data types and representationData types and representation
Summarising
continuous data:
Name
Hours of
Sleep / NightJanice 6
Tom 7.5
Danielle 10.5
Ian 9
Eduardo 7
Emily 6
Anja 8
Cara 5
Adrian 8.5
Eric 6.5
Sarah 7.5
David 4
![Page 9: Data types and representation Two types of data: Observations are a finite, countable, number of values Observations are a finite, countable, number of.](https://reader036.fdocuments.net/reader036/viewer/2022072014/56649eb35503460f94bbb69f/html5/thumbnails/9.jpg)
Data types and representationData types and representation
Hours of Sleep Frequency
3 - 4 hrs
4 - 5 hrs
5 - 6 hrs
6 - 7 hrs
7 - 8 hrs
8 - 9 hrs
9 - 10 hrs
10 - 11 hrs
1
3
6
14
16
5
3
2
Summarising
continuous data:
Frequency tables
![Page 10: Data types and representation Two types of data: Observations are a finite, countable, number of values Observations are a finite, countable, number of.](https://reader036.fdocuments.net/reader036/viewer/2022072014/56649eb35503460f94bbb69f/html5/thumbnails/10.jpg)
Data types and representationData types and representation
Summarising
continuous data:Frequency bar graph
(Histogram)
0
5
10
15
20
3.5 4.5 5.5 6.5 7.5 8.5 9.5 10.5
Nightly hours of sleep
Fre
qu
ency
![Page 11: Data types and representation Two types of data: Observations are a finite, countable, number of values Observations are a finite, countable, number of.](https://reader036.fdocuments.net/reader036/viewer/2022072014/56649eb35503460f94bbb69f/html5/thumbnails/11.jpg)
Data types and representationData types and representation
Summarising
continuous data:
Relative frequency bar chart
0
10
20
30
40
3.5 4.5 5.5 6.5 7.5 8.5 9.5 10.5
Nightly hours of sleep
Fre
qu
ency
(%
)
![Page 12: Data types and representation Two types of data: Observations are a finite, countable, number of values Observations are a finite, countable, number of.](https://reader036.fdocuments.net/reader036/viewer/2022072014/56649eb35503460f94bbb69f/html5/thumbnails/12.jpg)
Data types and representationData types and representation
Summarising
continuous data:
Line graph
![Page 13: Data types and representation Two types of data: Observations are a finite, countable, number of values Observations are a finite, countable, number of.](https://reader036.fdocuments.net/reader036/viewer/2022072014/56649eb35503460f94bbb69f/html5/thumbnails/13.jpg)
Data types and representationData types and representation
Summarising
continuous data:
Scatter graph