Statistical Sciences 1023A/B Chapter Notes - Chapter 8: Standard Score, Normal Distribution, Standard Deviation

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Exploring a distribution: sometimes the overall pattern of a large number of observations is so regular that we can describe it by a smooth curve. Bell-shaped curves and other shapes: the areas of the shaded bars in this histogram represent the proportion of scores in the observed data that are less than or equal to 6. 0. This proportion is equal to 0. 303: now the area under the smooth curve to the left of 6. 0 is shaded. If the scale is adjusted so that the total area under the curve is exactly 1, then this curve is called a frequency curve. The proportion of the area to the left of 6. 0 is now equal to 0. 293. Frequency curves: a frequency (or density) curve is a curve that, is always on or above the horizontal axis, has an area of exactly 1 underneath it, a frequency curve describes the overall pattern of a distribution.

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