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DEFINE FREQUENCY DISTRIBUTION
The frequency distribution can be defined as an arrangement of the values that one or more variables take in a sampling where each entry in the table contains the frequency or the count of the occurrences of values within a particular group or interval. In this way, the table recaps the statistical distribution of values in the sample.
It is the representation which is either in a graphical or tabular format that displays the number of observations within a given interval where the intervals must be mutually exclusive as well as exhaustive.
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It is applied within a statistical context as the size of the intervals used in a frequency distribution will depend on the data being analyzed as well as the goals of the analyst. The most important factor is that the intervals used must be non-overlapping and it must contain all of the possible observations. For construction, one has to identify the lowest and highest values in the list. This is carried out because each value in the list must fit into one of the categories.
Some of the guidelines for construction are as follows each value should fit into a category where the classes should be mutually exhaustive. No value should be in more than 1 category and the classes should be mutually exclusive at the same time, there should be no overlapping of classes. If possible the size of the classes is made equal which makes it easier to compare the frequency in one class to another.
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It is also required to avoid open-ended classes if possible such as "75 and over" and it is best to use between 5 and 20 classes if possible. If the size of the class is less than 5 classes, it is not possible to split the data and if the class size that is being used is more than 20 classes, then there will be information overflow.
It is well-situated to use class sizes of 5 or 10 which means that each class contains 5 or 10 possible values and it is usually convenient to make the lower limit of the first category as a multiple of the class size.
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