# Boxplots

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• #31712

Dillon
Participant

I am attemtping to explain boxplots to senior management who have not gone through any six sigma or statistical training.
I tried using the explanation of the 25th and 75th percentile, median, etc. Does anyone have a better way of explaining boxplots? Any real examples would be greatly appreciated.
Thanks

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#83862

topher
Member

A box and whisker plot provides a 5 point summary of the data.
1) The box represents the middle 50% of the data.
2) The median is the point where 50% of the data is above it and 50% below it. (Or left and right depending on orientation).
3) The 25th quartile is where, at most, 25% of the data fall below it.
4) The 75th quartile is where, at most, 25% of the data is above it.
5) The whiskers extend to the lowest and highest values.
Hope this helps.

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#83866

lin
Participant

I would have to disagree with Topher about the wiskers extending to the lowest and highest values, the wiskers in fact cannot be any longer then 1.5 times the length of the inner quartiles. If you have data points outside this they will show up as outliers.

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#83867

topher
Member

Good point Bill. I appreciate the clarification.
I thought about the outliers after I had posted and was returning to add it, but Bill already beat me to the punch.

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