We will learn here how to convert nonoverlapping class intervals into overlapping class intervals.
Conversion of Nonoverlapping Class intervals into Overlapping Class intervals:
If the nonoverlapping class intervals are a  b, c  d, e  f, etc., the gaps between the consecutive class intervals are c  b, e  d, etc. Half of these are \(\frac{c  b}{2}\), \(\frac{e  d}{2}\), etc.
The nonoverlapping intervals when changed into overlapping intervals will be (a  \(\frac{c  b}{2}\))  (b + \(\frac{c  b}{2}\)), (c  \(\frac{c  b}{2}\))  (d + \(\frac{e  d}{2}\)), etc.
For example:
Nonoverlapping intervals 5 – 9 , 10 – 15, 17 – 23, 26 – 33, etc., when changed into overlapping intervals become (5  \(\frac{1}{2}\))  (9 + \(\frac{1}{2}\)), (10  \(\frac{1}{2}\))  (15 + \(\frac{2}{2}\)), (17  \(\frac{2}{2}\))  (23 + \(\frac{3}{2}\)), etc., that is 4.5 – 9.5, 9.5 – 16, 16 – 24.5, etc.
Nonoverlapping intervals 6 – 15 , 16 – 25, 26 – 35, 36 – 45, etc., when changed into overlapping intervals become (6  \(\frac{1}{2}\))  (15 + \(\frac{1}{2}\)), (16  \(\frac{1}{2}\))  (25 + \(\frac{1}{2}\)), (26  \(\frac{1}{2}\))  (35 + \(\frac{1}{2}\)), etc., that is 5.5 – 15.5, 15.5 – 25.5, 25.5 – 35.5, etc.
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