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Boxplot skewed or symmetric
Dear experts.
I am asking this question to clear up confusion that I have.
Please see the attached image.
I cant decide whether it is skewed to the left or symmetic.
My reason for this is because although the box lies to one side of the full line, the line in the box itself is in the middle.
When determining whether data is skewed or symmetric what do I actually look at because from whichever way I see the question either answer could be valid?
Many thanks in advance for your help.
Steve
box-plot-capture.JPG
I am asking this question to clear up confusion that I have.
Please see the attached image.
I cant decide whether it is skewed to the left or symmetic.
My reason for this is because although the box lies to one side of the full line, the line in the box itself is in the middle.
When determining whether data is skewed or symmetric what do I actually look at because from whichever way I see the question either answer could be valid?
Many thanks in advance for your help.
Steve
box-plot-capture.JPG
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Since the 'whiskers' are just the single min and max, I would put a lot more weight on the box when making observations. 1 2 2 2 2 4 4 5 5 Â 3 3 3 3 10 is fairly symmetric data, but the right whisker would be way out there.
That said. The box is a bit skewed to the left too. Not a ton, but it's noticable.
That said. The box is a bit skewed to the left too. Not a ton, but it's noticable.
To answer your question requires more information. Â What is being shown? Â what do the "whickers" represent? Is there any data between the box and "whiskers"?, What does the vertical line in the box represent?
TommySzalapski:'s comments are very relevant (especially the last one. How symmetric does the data have to be to be called symmetric. Â "Skewed" does not mean "anti-symmetric"
TommySzalapski:'s comments are very relevant (especially the last one. How symmetric does the data have to be to be called symmetric. Â "Skewed" does not mean "anti-symmetric"
Hi Experts,
Thank you for your input so far.
The vertical line represents the number of customers waiting in a bank.
It's a confusing one for me because it would appear their is not a direct answer either way?
Also, when you refer to whiskers, what do you mean by this term?
Thanks,
Steve
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"Also, when you refer to whiskers, what do you mean by this term?"
The two vertical lines at the end of the long horizontal line
The two vertical lines at the end of the long horizontal line
I, in particular, do not understand what the vertical scale on your diagram represents
The data for this is:
4.2
5.6
3.0
5.1
4.8
2.3
3.5
3.2
4.5
6.1
0.4
5.1
6.5
6.2
3.8
Based on this, there is data in the whiskers.
With regard to how symmetric the data has to be to called symmetric i dont know as this is for a uni assignment but I suppose i could argue that it is both couldnt i?
Steve
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TommySzalapski: has good comments. He answered my question about y axis and cleared up my thinking.
By his definition of symmetry your data is symetric. However if you were to define symmetry as "the sum of the moments about the mean to be zero" the data would not by symmetric. The diofficulty is with the point 0.4.
By his definition of symmetry your data is symetric. However if you were to define symmetry as "the sum of the moments about the mean to be zero" the data would not by symmetric. The diofficulty is with the point 0.4.
Thanks for your help experts.
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