lecture+5 - January 18, 2008 [LECTURE 5] What you need to...

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January 18, 2008 [ LECTURE 5 ] What you need to remember for today’s lecture? 1. IQR and outliers The interquartile range (IQR) is the distance between the first and third quartiles (the length of the box in the boxplot) IQR = Q 3 - Q 1 An outlier is an individual value that falls outside the overall pattern. Question: How far outside the overall pattern does a value have to fall to be considered an outlier? i. Low outlier: any value < Q 1 – 1.5 IQR ii. High outlier: any value > Q 3 + 1.5 IQR What you need to know for today’s lecture? 1. Analysis & Discussion of Mean and Median The mean is a useful indicator and measurement of center, but its practical applications are limited; on the other hand, the median sometimes gives more meaningful inference. Here are some examples. i. When the distribution is not wildly irregular, A single numerical summary (typically would be the mean) here would not make sense
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January 18, 2008 [ LECTURE 5 ] ii. The occurrence of outliers. When outlier occurs, the outcome of mean would be
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lecture+5 - January 18, 2008 [LECTURE 5] What you need to...

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