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BUSN225 CHAPTER 2 NOTES – DESCRIBING DATA SAMPLE POPULATION 1. UNGROUPED DATA Identify ungrouped data 2.GROUPED DATA a)Frequency distribution: n, class width (i), midpoint b)Percentage distributions 3. GRAPHIC REPRESENTATIONS OF UNGROUPED DATA Line, bar, pie, stem-and-leaf 4. GRAPHIC REPRESENTATIONS OF GROUPED DATA Histogram, frequency polygon 1. UNGROUPED DATA Ungrouped data is data that is left just as it is collected, and is appropriate if the volume of data is small. e.g., COLLEGE - # subjects? 7, 8, 4, 6, 9, 11, 1, 2, 0, 5, 10 If there is a large amount of data, it should be organized into groups. 2. GROUPED DATA a) Frequency distributions Groups = Classes = Range of values in the groups There are rules for transforming ungrouped data into grouped data 1) Determine the range of the data → Range = Highest value - Lowest value e.g., COLLEGE Range = 11 - 0 2) Determine the number of classes → Will be given in the problem by indicating the limits of the first class e.g., COLLEGE The limits of the first class are: 0 to less than 5 (0 <5) 3) Determine the lower limits (LL) and upper limits (UL) of the classes: o The limits must include all values o There can be no gaps between the classes o There can be no overlaps in the classes o All classes must be of the same size/width e.g., COLLEGE LL UL 0 <5 5 <10 10 <15 4) Put all the values into the appropriate classes The count of the values in the class = the class frequency e.g., COLLEGE LL UL Frequency (f) 0 <5 4 5 <10 5 10 <15 2 In statistics, the word “list” = “distribution” Class width = class interval = i = difference between the lower limits of each class e.g., COLLEGE Class width = 5 – 0 = 5 Total count = sum of the frequency column = n e.g., COLLEGE n = 11 Midpoint
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  • Fall '17
  • Frequency distribution, Bar chart, Histogram, Diesel fuel, class width

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