How is this graph NEGATIVELY SKEWED

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Homework Help Overview

The discussion revolves around understanding the concept of negative skewness in a graph, specifically in relation to a provided graph from a homework question. Participants are trying to clarify the characteristics of negatively skewed distributions and how they relate to the graph in question.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants are exploring the definition of negative skewness, questioning how the length of the tails on either side of the mode affects the skewness. There is also discussion about the relationship between the mean, median, and mode in determining skewness.

Discussion Status

Some participants have provided insights regarding the properties of skewness, such as the relationship between the mean, median, and mode. However, there is still uncertainty about how these concepts apply to the specific graph being discussed, and no consensus has been reached.

Contextual Notes

Participants are referencing specific values and characteristics from the graph, such as the lengths of the tails, but there may be confusion regarding the definitions and implications of skewness as outlined in their textbooks.

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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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