October 3 Lecture

October 3 Lecture - Lecture October 3 2011 Section 3.4...

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Lecture October 3, 2011
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Section 3.4 Density Curves
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Section 3.4 Density Curves • sometimes the overall pattern of a large number of observations is so regular that we can describe it by a smooth curve.
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Distribution of Criminals’ Heights 55 65 75 0 100 200 300 400 500 heights Frequency Example: distribution of heights of 3,000 criminals in 1901 distribution is nearly symmetric
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Thinking About Area Under a Curve
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More on Area Under a Curve • areas under density curve give good approximations of areas given by histograms. • Density Curves • describes the theoretical pattern or distribution of the data. • Properties of Density Curves • always on or above the horizontal axis • area = exactly 1 • The area under the curve for a given range of values is that proportion of the data expected to fall in that range.
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Area Under the Curve = Probability
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More on Probability
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Total Area Under a Density Curve
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Pr{100 < blood glucose < 150}
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Finding Various Probabilities
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Clicker Question • Using the information from the last slide, find Pr{diameter > 4} •A ) 0 . 1 9 •B ) 0 . 2 5 •C ) 0 . 7 7 •D ) 0 . 2 3
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This note was uploaded on 10/04/2011 for the course STAT 202 taught by Professor Springer during the Fall '09 term at Waterloo.

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October 3 Lecture - Lecture October 3 2011 Section 3.4...

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