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Are There Any Outliers?. Using the 1.5*IQR Rule. Say we have the following data: 1,2,5,5,7,8,10,11,11,12,15,20. Notice that you must have ordered data before you can find the Five – Number – Summaries . . Find the median first. It’s the middle point.

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are there any outliers

Are There Any Outliers?

Using the 1.5*IQR Rule

say we have the following data 1 2 5 5 7 8 10 11 11 12 15 20
Say we have the following data:1,2,5,5,7,8,10,11,11,12,15,20
  • Notice that you must have ordered data before you can find the Five – Number – Summaries.
  • Find the median first. It’s the middle point.
  • Then find the quartiles, Q1 and Q3. They are the middles of the lower and upper half, respectively.
  • The last thing to do is determine whether there are outliers using the 1.5*IQR Rule
min q 1 q 3 max 1 2 5 5 7 8 10 11 12 12 18 25
min Q1 Q3 max 1,2,5,5,7,8,10,11,12,12,18,25

1

5

9

12

18

25

-5.5

22.5

1.5IQR

IQR = 12 – 5 = 7

1.5IQR

5 - 1.5 * 7 = -5.5

12 + 1.5 * 7 = 22.5

25 is considered an outlier and will be a point in a boxplot and the ‘whisker’ ends at the last non-outlier data point.