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Question


In a histogram, two class intervals were 20-30 and 30-40 with corresponding heights 10 and 20 units. The class intervals were combined to form a single class interval 20-40. What is the height corresponding to this new class interval?


Options:
A .   10 units
B .   15 units
C .   20 units
D .   30 units
Answer: Option B
:
B
In a histogram, the area of
rectangles corresponds to
the frequency of the classes. 
Before combining,
Frequency=10×10+10×20=300
The frequency after combining the classes
also will be the same. Suppose 'h' is the
height of the new class interval. Then,
Frequency=20×h=300h=30020=15

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