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Below is the set of values that I want to find outliers.

24, 102, 110, 118, 172, 184, 239, 284, 325, 363, 381, 465
  • Q1 Percentile: 114
  • Q2 Percentile: 211.5
  • Q3 Percentile: 344
  • Interquartile Range(IQR): 230

So my calculation for outliers are below:

Q3 + 1.5(IQR) = 689 - there is no outliers(this is fine).

Q1 - 1.5(IQR) = 231 - Any number less than 231 are outliers(from what I learned).

My question is, Is it possible to have outliers greater than first quartile?

Also I checked outliers using online calculator, it is display: no outliers.

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  • $\begingroup$ I think this depend on your definition of outlier, for your purposes $\endgroup$
    – Brethlosze
    Jun 5, 2017 at 18:21
  • $\begingroup$ So, how you define outliers $\endgroup$
    – Blasanka
    Jun 5, 2017 at 18:21

1 Answer 1

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$$Q_1=114$$

$$Q_1 - 1.5IQR \leq Q_1$$ since $IQR \geq 0$, hence the number $231$ must be wrong.

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