PUMPA - SMART LEARNING
எங்கள் ஆசிரியர்களுடன் 1-ஆன்-1 ஆலோசனை நேரத்தைப் பெறுங்கள். டாப்பர் ஆவதற்கு நாங்கள் பயிற்சி அளிப்போம்
Book Free DemoClass interval can be divided into two categories:
Continuous series:
When there is no break between two classes given in numerical order, it is called a continuous series.
Example:
Class 1: 0 - 10
Class 2: 10 - 20
Class 3: 20 - 30
In this example, there is no gap between classes 1 and 2; similarly, there is no gap between classes 2 and 3.
Discontinuous series:
When there is a break or gap between two classes given in numerical order, it is called a discontinuous series.
Example:
Class 1: 0 - 10
Class 2: 11 - 20
Class 3: 21 - 30
In this example, there is a gap of 1 unit between classes 1 and 2; similarly, there is a gap of 1 unit between classes 2 and 3.
Can a discontinuous series be converted into a continuous series?
Yes, a discontinuous series can be converted into a continuous series in a few steps.
Let us look at it in detail using the following example.
Class 1: 5 - 20
Class 2: 25 - 40
Class 3: 45 - 60
Step 1: Consider the gap between the classes 1 and 2.
Class 1 ends with 20, and class 2 begins with 25.
Therefore, the gap between classes 1 and 2:
25 - 20 = 5
Gap between class 1 and class 2 = 5
Step 2: Convert class 1 into a continuous series.
Class 1: 5 - 20
Gap between class 1 and class 2 = 5
\text{Lower boundary} = \text{Lower limit} - \text{Half of the gap}
= 5 - \frac{1}{2}(5)
= 5 - 2.5
= 2.5
Lower limit of class 1 = 2.5
\text{Upper boundary} = \text{Upper limit} + \text{Half of the gap}
= 20 + \frac{1}{2}(20)
= 20 + 2.5
= 22.5
Upper limit of class 1 = 22.5
Now, the updated limit of class 1 is 2.5 - 22.5.
Step 3: Apply steps 1 and 2 to all the other classes available in a series and make the required conversion.
Now, the continuous series converted from the discontinuous series will look like this.
Class 1: 2.5 - 22.5
Class 2: 22.5 - 42.5
Class 3: 42.5 - 62.5
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