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Hi,

I haven't really learned how to interpret the skewness of a data by looking at a boxplot.

For example:

Box plot

What would be the skewness of this data and how did you come to know it?

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Helped you to embed your picture. (For future ref, there's a button on the formatting toolbar that does it for you!) – Collin Li Feb 17 at 22:40

2 Answers

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Sorry to correct the previous answer, but I'm sure that's not right.

You ONLY look at the box which represents Q1 to Q3 to determine skewness. If the median is to the left, data is positively skewed. If it is in the middle, data is symmetrical. If the median line is to the right, data is negatively skewed.

Your book is correct in saying that the data is negatively skewed.

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Oh o.k. Thankyou so much, yeah that explains the answer from the book! – Blakhitman Feb 21 at 7:12
Oh, I am sorry >< And don't be sorry to correct me Vandelay! How else can I, and even Blakhitman learn! I do appreciate it, thanks again, and sorry for giving out a wrong explanation, if only I still ahd my book to double check! – asa.hoshi Feb 22 at 22:19
Haha, yeah I just felt bad correcting you when you put so much effort into answering for a subject that isn't yours. Thanks on behalf of everyone, you're a pretty active member of Merspi it seems :) – Lex Feb 23 at 7:53
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Hi

Good question, although my textbook had a clear and easy to understand diagram, I sold it! This website shows (if you scroll down) three box and whisker plots.

Positively skewed Is when the actual "rectangle box" is more to the left, in other words taking up most of the "line" on the left.

Negatively skewed Is when the "rectangle box" is more to the right

Symmetrical When the box is around the middle, i.e not swayed to the left or right.

The link you provided is positively skewed because it's more to the left, but it's almost symmetrical as well. In my opinion though it's positively, because more of the data is focussed at the beginning/lower figures.

I know it's hard to get your head around it just by looking, so what I found helpful is to have the textbooks example diagrams in front of me to allow a comparison.

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Thanks asa.hoshi. and are you sure the boxplot is positively skewed? because the answer to that says negatively skewed...maybe book is wrong but oh well. – Blakhitman Feb 17 at 19:38

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