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Skew…

October29

PisaSkew” means “slant” or “leaning”. For example, looking at this picture of the Leaning Tower of Pisa (taken by H3 recently):
We can say that the tower is “askew” or skewed” – it has an obvious lean to the right (from where the picture was taken – from some angles it doesn’t appear to lean at all).

In Mathematics, if a graph (of data distribution) is evenly distributed, then it has no obvious lean. It is then called “Symmetrical”. However, if the graph leans to the right, we say that it has a “Negative Skew”.

If the data leans to the left, then we say that it has a “Positive Skew”. These skews are shown in the graph below.

Below: Note that the mode is always the most common (highest) frequency. Then, simply remember that median = middle. So, the median will be in the middle of the mode (most frequent score) and the mean (average). It’s that easy!

skew
PS: The Leaning Tower of Pisa is really spectacular, despite the skew! In fact, even the heads on the cathedral (below) in Pisa are skewed, which may explain why the tower leans too?
PisaHeads

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NCEA Level 2 Algebra Problem. Using the information given, the shaded area = 9, that is:
y(y-8) = 9 –> y.y – 8y – 9 =0
–> (y-9)(y+1) = 0, therefore y = 9 (can’t have a distance of – 1 for the other solution for y)
Using the top and bottom of the rectangle,
x = (y-8)(y+2) = (9-8)(9+2) = 11
but, the left side = (x-4) = 11-4 = 7, but rhs = y+? = 9+?, which is greater than the value of the opp. side??
[I think that the left had side was a mistake and should have read (x+4)?]

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