STA 215 Chapter Notes - Chapter 2.14, 3.1, 3.2, 3.4, 5.1: Quartile, Box Plot, Standard Deviation
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We can think of the pth percentile as splitting the ordered data set in two chunks- one with p% of the data and the other with (1-p)5 of the data. Example notation for the 38th percentile is p38. : definition: five-number summary- this is the min, the first quartile (q1), the median, the third quartile (q3), and the max, definition: minimum- smallest value in the data set. This is p0, the 0th percentile because no data is less than this: definition: maximum- largest value in the data set. This is p100, the 100th percentile because no data is greater than this: definition: median- this is the value where half of the data set is less than and the other. Denotated by p25 half is greater than this value. Section 3. 2 boxplots: when interpreting a graph for quantitative data, we focus on the following, center of distribution, variability of the distribution, shape of distribution, presence of outliers in the distribution.