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November 01, 2025, 10:20:29 am

Author Topic: two quick questions  (Read 955 times)  Share 

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Tonychet2

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two quick questions
« on: November 01, 2012, 08:27:17 pm »
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1.  if the IQR of a set of data is 10 and ur Q1 is 22, would 7 be an outlier? or is it only less than 7?.. EDIT: sorry i mean if the IQR is 10

2. actual figure is seasonalised figure right?
« Last Edit: November 01, 2012, 08:49:50 pm by Tonychet2 »

billyjackson768

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Re: two quick questions
« Reply #1 on: November 01, 2012, 08:36:12 pm »
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15=Q3-Q1
15=Q3-22
37=Q3

So we have Q1 and Q3 then to determine if something is an outlier we look at if it lies outside the interval Q1 - 1.5 * IQR ≤ x (your value tested) ≤ Q3 + 1.5 * IQR
22 - 1.5 * 15 ≤ 7 ≤ 37 + 1.5 * 15
-0.5 ≤ 7 ≤ 59.5
This is true as 7 is within those bounds. So it is not an outlier.

Stick

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Re: two quick questions
« Reply #2 on: November 01, 2012, 08:40:08 pm »
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1. Lower fence = Q1-1.5*IQR
=22-1.5*15
=-0.5

Hence, 7 is an outlier.

I think what you meant is if a value falls on the lower or upper fence. In that case, that number is not considered an outlier. :)

2. Actual value is seasonalised value. :)
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billyjackson768

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Re: two quick questions
« Reply #3 on: November 01, 2012, 08:46:33 pm »
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1. Lower fence = Q1-1.5*IQR
=22-1.5*15
=-0.5

Hence, 7 is an outlier.

I think what you meant is if a value falls on the lower or upper fence. In that case, that number is not considered an outlier. :)

2. Actual value is seasonalised value. :)

-0.5 is the lower bound and 7 is not lower than that and is not higher than the upper bounds so it isn't an outlier?

Stick

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Re: two quick questions
« Reply #4 on: November 01, 2012, 08:47:40 pm »
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Yep, that's right. :)
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Tonychet2

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Re: two quick questions
« Reply #5 on: November 01, 2012, 08:49:01 pm »
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i meant if the IQR is 10 guys not 15 sry

StumbleBum

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Re: two quick questions
« Reply #6 on: November 01, 2012, 09:12:38 pm »
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i meant if the IQR is 10 guys not 15 sry
In that case refer to this:
I think what you meant is if a value falls on the lower or upper fence. In that case, that number is not considered an outlier. :)

If the value is equal to the value of the lower or upper fence, then it is NOT considered an outlier. In this case both the fence and the value are 7, so therefore it isn't an outlier.
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