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Q.

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

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a

z + (z + U) 2

b

U + (z + U) 2

c

2z-U

d

z-2U

answer is C.

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Detailed Solution

We have to find the lower class boundary of the class, if U is the upper class boundary of a class in a frequency distribution and z 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 z for the midpoint, U for a upper class boundary:

z = U+Lower class boundary 2 Lower class boundary + U = 2 z Lower class boundary = 2 z − U

Therefore, option 3 is correct.

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