September 16 Lecture

September 16 Lecture - Lecture September 16, 2011 Analysis...

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Lecture September 16, 2011
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Analysis Two Techniques: 1. Graphical (visualize) 2. Numerical (calculations)
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Example Dataset Consider the following data: 1,2,2,3,3,3,4,4,4,4,5,5,5,6,6,7 We can build a display simply by ticking off every time we see a number.
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1,2,2,3,3,3,4,4,4,4,5,5,5,6,6,7
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Centre Rough Definition – The middle of the data -- “typical” observation
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Spread Rough Definition - How separated our data values are. With respect to what though?
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Shape The appearance of the data.
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Shape The shape of a dataset can be determined numerically using measures such as kurtosis and skewness – but we will not investigate these statistics in this course.
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Centre There are 3 measures of “central tendency”: A) Mean B) Median C) Mode
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Mode The most popular value. Also the most useless statistic. e.g. 1, 1, 1, 2, 20
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Mean You would call it an “average”. You can also think of it as the balancing point of the distribution. Notation:
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September 16 Lecture - Lecture September 16, 2011 Analysis...

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