Per se Frequency Distribution is a very simple concept - Categorizing data and displaying the same in a summarized form into a relatively small number of intervals. Some properties -
Thomas obtained the following marks in his 10 Statistics tests during the semester:
24, 26, 18, 21, 27, 27, 30, 44, 32, 38
How can you draw any inference from here?
First step is to summarize and see what the data has to say.
So how would you organize, classify this data, form the table and present it in the form of a picture? Simplest is to put it in a tabular form (Frequency Distribution):
15 - 25
25 - 35
35 - 45
Here the total number of classes is 3. And we can clearly see that most of the marks secured in the mid range. Small number of times very low and very high marks are secured.
In our case study,
Data of Thomas can be shown in the form of a histogram:
Midpoints of the interval of corresponding rectangle in a histogram are joined together by straight lines. It gives a polygon i.e. a figure with many angles. Unlike histograms, frequency polygons can be superimposed so as to compare several frequency distributions. For the marks obtained by Thomas we can have the frequency polygon as shown below:
Managing and operating on frequency tabulated data is much simpler than operation on raw data. There are simple algorithms to calculate median, mean, standard deviation etc. from these tables as well.
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