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September 19 Lecture

# September 19 Lecture - Lecture Outliers Outliers are values...

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Lecture September 19, 2011

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Outliers Outliers are values that are more extreme than the others. For example: 1, 2, 3, 4, 1000 • Outliers? For example: -0.8, -11, 0.1, -0.6, 1, 0.3, -0.9 • Outliers?
For example: 1, 2, 3, 3, 5, 1000 Suppose we initially had the values 1, 2, 3, 3, 5. At the last minute we add 1000. What do you think will happen to the median and mean in this case as we add 1000 (compared to the median of 1, 2, 3, 3, 5)?

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Median What do you think will happen to the median in this case as we add 1000 (compared to the median of 1, 2, 3, 3, 5)? A) The median will increase B) The median will decrease C) The median will not change
Mean What do you think will happen to the mean in this case as we add 1000 (compared to the median of 1, 2, 3, 3, 5)? A) The mean will increase B) The mean will decrease C) The mean will not change

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Summary: 1, 1, 1, 2, 20 Mode Mean Median 1 5 1
Question Why is the mean different from the median and mode?

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Mean vs Median The mode is the easiest central measure to calculate but it is often the least useful This leaves the mean and median Which is more useful?
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