GMS 200 Lecture Notes - Lecture 11: Mutual Exclusivity, Interquartile Range, Variance
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Estimated width of class interval = range/ min # of class (5-10). ****only pick decimal class width if data has decimals**** Class width (1,2,2. 5,5;10,20,25,50;0. 1,0. 2,0. 25,0. 5) = upper boundary lower boundary. Consecutive numbers or repeated. (if repeated twice->0-4, 5-9; if five times->0-1,2-3, etc). Must have at least one leaf associated with first and last stem. Positively skewed (big to small from left to right); negatively skewed (small to big from left to right) Unimodal: single peak; bimodal: two peaks; modal class: class with largest # of observations. Percentage polygon: midpoints on x-axis, frequency or percentage on y-axis. Cumulative percentage polygon (ogive): lower-class boundary on x-axis, % less than lower boundary (cumulative percentage) Two kinds of cumulative relative frequency: cumulative relative frequency (crf) = relative frequency of the class +sum of all previous lass relative frequencies; cumulative % frequency (c%)=100*crf. Arithmetic mean for population: ; arithmetic mean for sample: x . Appropriate for describing measurement data (marks of student paper, height of people)