Statistics >> Continuous Frequency Distribution
There are certain variables which will not have a distinct integer value and in those cases the frequency distribution will be continuous. Also, when the data set is very large, it becomes necessary to condense the data into a suitable number of classes and then combined frequencies are assigned to the respective classes. An example of continuous frequency distribution is given below:
Construction of continuous frequency distribution
The following technical terms are associated with the construction of grouped or continuous frequency distributions.
The range of a frequency distribution may be defined as the difference between the lower limit of the first class interval and the upper limit of the last class interval. In the example given in Table 3.2., range = 180 - 145 = 35.
B. Number of Classes
The number of classes should neither be too large nor too small. Normally between 6 and 15 classes are considered to be adequate.
C. Class Intervals
The difference between the upper limit and the lower limit of a class is known as class interval. In the class 145-150, class interval is 5. The size of the class interval is determined by the number of classes and the range.
D. Class Limits
The class limits are the lowest and the highest values that can be included in the class.
E. Class frequency
The number of observations corresponding to a particular class is known as the frequency of that class, In the above example the Class frequency of the class 170 - 175 is 4.
It is the value lying half-way between the lower and the upper class limits of a class interval.
Mid point of a class = ( upper limit of class+ lower limit of class ) / 2
The upper and lower class limits of the exclusive type classes are called class boundaries,
Upper class boundary = Upper class limit + d/2
Lower class boundary = Lower class limit - d/2
Where d = gap between the upper limit of any class and lower limit of the succeeding class.
H. Width of a Class
The width of a class interval is the difference between the class boundaries.
Width of a class = Upper class boundary - Lower class boundary.
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