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Q.

What will be the upper class boundary of the class, if L is the lower class boundary of a class in a frequency distribution and m is the midpoint of the class?


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a

m+ (m+L) 2

b

L+ (m+L) 2

c

2m-L

d

m-2L 

answer is C.

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Detailed Solution

We have to find the upper class boundary of the class, if L is the lower class boundary of a class in a frequency distribution and m is the midpoint of the class.
We know that the midpoint of a class interval in a frequency distribution is the average of the sum of the upper-class boundary and the lower class boundary, midpoint= upper class boundary+lower class boundary 2
Put m for the midpoint, L for a lower class boundary:
midpoint= upper class boundary+lower class boundary 2 m= upper class boundary+L 2 upper class boundary+L=2m upper class boundary=2m−L
Therefore, option 3 is correct.
 
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