QMS 102 Lecture 3: Lecture 3 Notes

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Lecture 3: cumulative distributions and ogives, measure of location, misuses and common errors in visualizing data. Frequency distributions and cumulative distributions histogram, polygon and ogive. Start with a frequency distribution table and add a cumulative frequency column. You may construct two kinds of cumulative relative frequencies. Both kinds of cumulative frequency will give you the same answer. However, it is more common to use c% to construct the ogive: cumulative relative frequency (crf, crf = relative frequency (rf) of the class + sum of all previous class relative frequencies. Alternatively: crf = sum of all relative frequencies up to and including the class (cid:3033) C% = 100 x (cid:3046)(cid:3040) (cid:3042)(cid:3033) (cid:3039)(cid:3039) (cid:3033)(cid:3045)(cid:3032)(cid:3044)(cid:3032)(cid:3041)(cid:3032)(cid:3046) or c% = 100 x crf. Example: percent of bottles less than 2000 ml easy, just add freqs, 5+10, 15/255 = 5. 9, percent of bottles less than 2002. 70 not east, 2002. 7 falls between 2002. 50 and 2003. 0, we must plot an ogive.

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