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Unformatted text preview: nches 0.10 0.10 0.12 st dev = 3 inches 50 60 70 80
height (inches) 90 100 110 40 60 80
height (inches) 100 Both curves involve the distribution of heights. The example on the left has three curves all with the
same standard deviation but different means. The mean is where the mode is going to be. Therefore, the
“peak” of a normal density curve is at the mean on the x-axis. The example on the right has three curves
with the same mean. Therefore, the “peak” is at the same location on the x-axis for each of the curves.
However, the standard deviations are different. Higher standard deviations are associated with more
variability in the data. Therefore, the curve with the highest standard deviation will look more spread out.
That is, the curve will look flatter”.
When sketching a normal curve, the point about halfway down the curve is one standard deviation from
the mean. On the above left graph, look at the curve with a mean of 80 inches. If you went about half
way down the curve in either direction, you would be one standard deviation from the mean. So, if you
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This document was uploaded on 02/15/2014 for the course STAT 351 at Oregon State.
- Spring '14
- Normal Distribution