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Handout_1_Frequency_distribution_and_histograms

Handout_1_Frequency_distribution_and_histograms - Jan 2807...

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Jan 28’07 THE FREQUENCY DISTRIBUTION and HISTOGRAMS #1 An ordered array of statistical data allows doing easily the grouping of data and obtaining their frequency distribution . We may divide a range (a difference between maximum and minimum values from the set of data) into a number of subintervals of equal length , which are called CLASSES or BINS . (Usually the number of classes chosen can be from 6 to 15. If the number of classes is less then six the data have been summarized too much and the information they contain has been lost. If there are more than 15 classes, the data have not been summarized enough. As a guide for a proper choice of the number k of class subintervals we may use the Sturges’s rule: k = 1 + 3.322*log 10 n , where n is the number of values in the set of data under consideration). Each of the values from the set of data falls in one of the classes. The number of values falling in the particular class, say class i , is called the class frequency , and it is designated usually by the symbol f i . The sum of all class frequencies is equal to the number n
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