How is this graph NEGATIVELY SKEWED

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The discussion focuses on understanding why a specific graph is negatively skewed, emphasizing that a negative skew indicates a longer tail on the low x-values side. Participants clarify that in a negatively skewed distribution, the relationship between mean, median, and mode follows the pattern: Mean < Median < Mode. The graph in question has a left tail of 3 units and a right tail of 2 units, supporting the negative skew characterization. The conversation also touches on the misconception about the nature of the tails in skewed distributions. Overall, the participants seek clarity on the definitions and implications of skewness in relation to the graph presented.
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Homework Statement


http://www.thestudentroom.co.uk/attachment.php?attachmentid=103146&d=1306479703

Look at question 3(d)
and the graph for question 3
how is this graph NEGATIVELY SKEWED

Homework Equations


The Attempt at a Solution


I know that a -ve skew has a tail in the low x-values but I find it difficult to see that here :(

(I am not sure what further attempt I can give, I have said everything I know about shapes of skewed curves I just cannot see why it is -ve. I was hoping someone could help me with this!)
 
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Look at the answer to part c, a = 5.

So the left tail is 3 units long and the right tail is 2 units long
 


rollcast said:
Look at the answer to part c, a = 5.

So the left tail is 3 units long and the right tail is 2 units long

I always though the tail was a flat bit? how does the tail relate to the median / mode
is it as follows:
the mode is assumed to be the middle of the graph
if the a<x<mode is greater than mode<x<b for a graph a<x<b then it is negative skew
if a<x<mode is less than mode<x<b then the graph for a<x<b is +ive skew?
 


Sorry I was in the wrong part of my book for the answer, ok not much help but my book says

Negative skew = Mean < Median < Mode.

Positive skew = Mean > Median > Mode.
 


Then you can deduce that because the area of both sides of the mode is the same, then the mean will lie on the longer side.
 


oh I see
ok
thanks
 
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