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Find the inter quartile range, which is IQR = Q3 - Q1, where Q3 is the third quartile and Q1 is the first quartile. Then find these two numbers:
a) Q1 - 1.5*IQR
b) Q3 + 1.5*IQR
Any observation that is below a) or above b) can be considered an outlier.
edit: Chadwick, quartiles are considered robust, meaning that they are not highly effected by outliers. This is because it takes location into account, not the values. Let's look at your data set (sorted).
2 3 6 9 13 18 21 106
position of Q1 = (8+1)/4 = 2.25
Q1 = 0.75(3)+0.25(6) = 3.75
position of Q2 = (8+1)/2 = 4.5
Q2 = (9+13)/2 = 11
position of Q3 = 3(8+1)/4 = 6.75
Q3 = 0.25(18)+0.75(21) = 20.25
Notice that none of these actually use the value 106. Let's continue.
So IQR = Q3-Q1 = 20.25-3.75 = 16.5
Q1-1.5*IQR = 3.75-1.5*16.5 = -21
Q3+1.5*IQR = 20.25+1.5*16.5 = 45
No numbers are below -21, but 106 is above 45, so it can be considered an outlier.
Hope I helped!! ((:
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∙ 13y ago
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A number that is different from any other numbers in the data.!
Can a outlier be zero?
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There cannot be an outlier in a dataset that comprises only one number!
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i can not tell you need to space it out and to find outlier try using a box and whisker plot. and if it is just one number there is no outlier
How do you identify Outlier?
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What is a larger number or amount called?
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What is a number that is not typical of the rest of the date set is an?
An outlier.
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What does outlier?
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How does an outlier affect the range of a data set?
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How do you find an outlier?
It is the biggest or lowest number out of the set. The number would be way different than the rest. Example: 14 12 52 17 19 The outlier would be 52 because it is the biggest number. Example: 59, 42, 77, 65, 10 The outlier would be 10 because it is the lowest number.
